Calcular gráfica y analíticamente la resultante del sistema de fuerzas. ¿Qué condiciones debe reunir una fuerza F4 para que haya equilibrio? Datos: F1 = 20 N; F2 = 15 N y F3 = 7 N.

Answers

Answer 1

Answer:

.....

Explanation:


Related Questions

What theorem is presented based on the structure of the baseball field?

Answers

Pythagorean Theorem to determine the gap between second base and home plate.

Explain the pythagorean theorem.

The Pythagorean theorem and the coordinates of the two locations are used in the distance formula to determine the distance between them. The formula below can be used to determine the length of AB if A and B make up the hypotenuse of a right triangle: Leg2 plus Leg2 equals Hypotenuse 2.

measured from the middle of the backstop to the apex of home plate. Place second base in centre by drawing a line from the backstop's centre point over the pitcher's mound, through the apex. The distance that needs to be measured is between the centre of second base and the top of home plate.

The square root of (a,c)2 + (b,d)2 is used to calculate the distance between the points (a,b) and (c,d). The distance between points (a, b, c) and (d, e, f) in three dimensions is equal to the square root of (a, d), (b, e), and (c, f).

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The tape in a videotape cassette has a total length 196 m and can play for 2 h. As the tape starts to play, the full reel has an outer radius of 48 mm and an inner radius of 14 mm. At some point during the play, both reels will have the same angular speed. What is this common angular speed

Answers

Both reels will rotate at the same pace at some time throughout the game. This usual angle of rotation is 0.763 rad/s.

Given data:

The total length of the videotape cassette is, L = 196 m.

The time interval for the play is, t=2h=2×3600=7200s

The outer radius of the tape is, r₀ = 48mm

The inner radius of the tape is, r[tex]_{i}[/tex] = 14mm

The rotating motion of the videotape is indicated by the value of the angular velocity, which is as follows:

[tex]\omega=\frac{v}{r}[/tex].............................................................................(1)

Here, v denotes the cassette's linear speed, while r denotes the cassette's effective radius.

r=[tex]\sqrt{ \frac{r_{o}^{2} + r_{i}^{2} }{2} }[/tex]

r= [tex]\sqrt{ \frac{48^{2} + 14^{2} }{2} }[/tex]

r=35.35 mm

r ≅ 0.03535 m

And the cassette's linear speed is specified as,

[tex]v=\frac{L}{t}[/tex]

[tex]v[/tex] = 196/7200

[tex]v[/tex] = 0.027 m/s

Substitute the values in equation (1) as

[tex]\omega[/tex] = 0.027/0.03535

[tex]\omega[/tex] = 0.763 rad/s

As a result, we can infer that at some point throughout the game, both reels will be spinning at the same speed of 0.763 rad/s.

The angle of rotation in mathematics is a measurement of how much, specifically by what angle, a figure is rotated about a fixed point, frequently the center of a circle. Since an anticlockwise revolution of 310 degrees is equivalent to a full turn of 360 degrees because 310 degrees plus 50 degrees equals 360 degrees, an anticlockwise rotation of 310 degrees is also referred to as a rotation of -50 degrees.

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How many grams are in 268.0 mg

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0.268 because grams are 1000 times bigger than mg

1 milligram = 0.001 grams

268.0mg * 0.001g

[tex]=\fbox{0.268 grams}[/tex]

A theme park is planning out a new free-fall ride. The drop is almost perfectly frictionless, with a distance of 190 meters. Assuming that the initial velocity was zero, what would be the speed at the bottom of the drop?

a-53 m/s

b-61 m/s

c-67 m/s

d-72 m/s

Answers

Answer:

Approximately [tex](-61)\; {\rm m\cdot s^{-2}}[/tex], assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].

Explanation:

Under the assumptions, the vehicle would be in a free fall. Acceleration would be constant: [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex].

Let [tex]u[/tex] denote the initial velocity of the vehicle. Let [tex]v[/tex] denote the velocity of the vehicle at the bottom of the drop. Let [tex]x[/tex] denote the displacement of the vehicle during the drop.

It is given that the initial velocity is [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex]. During the drop, displacement would be [tex]x = (-190)\; {\rm m}[/tex] (negative since the vehicle is below where it started.) The value of final velocity [tex]v[/tex] needs to be found.

It is known that the vehicle is moving downwards at the end of the fall. Therefore, the value of [tex]v\![/tex] would be negative. Apply the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find [tex]v[/tex] from [tex]u[/tex], [tex]a[/tex], and [tex]x[/tex].

[tex]\begin{aligned}v^{2} &= u^{2} + 2\, a\, x\end{aligned}[/tex].

[tex]\begin{aligned}v &= -\sqrt{u^{2} + 2\, a\, x} \\ &= -\sqrt{(0\; {\rm m\cdot s^{-1}})^{2} + 2\, (-9.81\; {\rm m\cdot s^{-2}})\, (-190\; {\rm m})} \\ &\approx (-61)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

(Note that [tex]v[/tex] is negative.)

In other words, the velocity of the vehicle would be approximately [tex](-61)\; {\rm m\cdot s^{-1}}[/tex] at the end of the drop.

A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 35.0 min at 55.0 km/h, 16.0 min at 95.0 km/h, and 40.0 min at 35.0 km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.

Answers

53.24 km/hr is the journey's average speed.

What is the SI unit for average speed?

Average speed is determined by dividing the entire distance covered by the body in a given amount of time, or Average Speed=Total time.

total radius. A scalar quantity, that is. M/s is its unit.

What does Formula 9 for Average Speed mean?

The length of the entire path traveled divided by the duration of the motion is the definition of average speed.

Total miles traveled: 31.9 + 25.7 + 23.33 = 80.5 km

Average trip speed would be 80.5/1.512=53.24 km.

Total time required to travel this distance is 0.58 hours, 0.266 hours, and 0.666 hours.

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Which of the following bodies are at thermal equilibrium when being put into contact? (1) A glass of water of internal energy E at 20 °C (2) Alcohol with unknown internal energy at 20 °C (3) A jar of water of internal energy E at 25 °C A(1) and (2) only B(1) and (3) only C(2) and (3) only D(1), (2) and (3)​

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When two bodies at equal temperature are brought in contact with each other then no heat flows between them and they are said to be in thermal equilibrium.

When bodies in contact are in thermal equilibrium then they have the same?

When the engine temperature eventually reaches the same level as the ambient temperature, thermal equilibrium has taken place. After being placed on the table and waiting a short while, a cup of hot tea cools to the same temperature as its surroundings.

This is where thermal equilibrium occurs. the set temperature at which all of a solid's mass melts. When the solid turns into a liquid, both the solid and the liquid coexist in the thermal equilibrium.

The individual drove himself to his location. The engine temperature was excessively high during that time, but it eventually dropped to the air temperature outside. When the engine temperature eventually reaches air temperature, thermal equilibrium has occurred.

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A(1) and (2) only of the following bodies are at thermal equilibrium when being put into contact. i.e. (1) A glass of water of internal energy E at 20 °C (2) Alcohol with unknown internal energy at 20 °C .

What is thermal equilibrium?When two physical systems are linked by a channel permeable to heat, they are said to be in thermal equilibrium if there is no net transfer of thermal energy between them. The zeroth law of thermodynamics is observed during thermal equilibrium.

As internal energy is measured in terms of the body temperature, when two bodies are in thermal equilibrium, their internal energies will also be equal.

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how much percent of the earth's water is drinkable?

Answers

~1% of water on earth is actually drinkable the rest is salt

A bicyclist maintains a constant velocity of

4. 0 m/s for a distance of 480 m. How long does it take the bicyclist to travel this distance?

A8s

B 120s C 476s D 1920s

Answers

The bicyclist will need to ride for a total time of 120 seconds in order to cover 480 meters of distance at a constant velocity of 4.0 meters per second.

In this scenario, we are provided with:

The distance of the ride is 480 meters.

The velocity is four meters per second

In order to calculate the time, we can use the following formula:

Time = Distance : Velocity

= 480 meters : 4.0 meters per second

= 120 seconds

Therefore, the amount of time a cyclist needs to travel would be 120 seconds.

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Una onda cuya frecuencia es igual a 550 Hz, se propaga en el aire. ¿ cual es su longitud de onda y su periodo?

Answers

Answer:

The wavelength of the wave is [tex]5.45\times 10^5\ m[/tex] and time period is 0.0018 s.

Explanation:

The given question is, "A wave whose frequency is equal to 550 Hz, propagates in the air. What is its wavelength and its period?"

Given that,

The frequency of a wave, f = 550 Hz

The time period of a wave,

[tex]T=\dfrac{1}{f}\\\\T=\dfrac{1}{550}\\\\T=0.0018\ s[/tex]

Wavelength,

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{550}\\\\\lambda=5.45\times 10^5\ m[/tex]

So, wavelength of the wave is [tex]5.45\times 10^5\ m[/tex] and time period is 0.0018 s.

The amplitude of pulse A is 20 cm and that of pulse B is 10 Cm what is the minimum amplitude of the resultant pulse

Answers

The minimum amplitude of the resultant pulse is 10 cm.

What is amplitude of a pulse?

The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.

When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.

However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.

So, the minimum amplitude of the resultant pulse is 10 cm.

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Definition: This is the rate of distance traveled per unit of time, without regard to direction.

Example: 55 miles per hour on the highway

Answers

A visual representation of speed. It can also be used to denote speed. Without taking into account orientation, this is the rate of distance covered in a given amount of time.

What is speed?

The speed and direction of a particle's motion are both considered to be the particle's velocity. The distance travelled as well as the direction it is veering.

While velocity refers to both the speed and direction of an object's motion, speed is only the rate at which an object moves along a path over time. In other words, velocity is a vector, but on the other hand speed is a scalar value.

We know that velocity is a vector quantity since it has both a magnitude and a direction. However, speed just has a magnitude and no direction, therefore it.

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Define the following
a. Friction:
b.Sliding friction:
c.Static friction
d.Rolling friction
e.Air resistance
f. Terminal velocity
g.Gravity
h.Weight
i. Centripetal force:
j.Momentum

Answers

These are just personal definitions of the following. They aren't official ones that may come from your textbook, but they are still accurate.

a. Friction is a force that acts against forces in contact with an object.

b. Sliding Friction is a force that acts against the forces making an object slide (e.g. the y component of the object's weight force if it's on an incline)

c. Static Friction is a force that acts on an object that is still/not moving.

d. Rolling Friction is the force making an object roll.

e. Air resistance is a frictional force that acts to slow down a falling object.

f. Terminal velocity is the maximum an object can reach while in free fall due to air resistance.

g. Gravity is a mutual attractive force in between two objects.

h. Weight is the mass of an object multiplied by the gravitational force (usually 9.81 for objects on earth). Weight is a force acting against the normal force keeping objects from phasing through each other.

i. Centripetal force is a force that acts on an object that is turning. This force pulls the object to the outside of the turning track.

j. Momentum is defined by mv (mass times velocity). Momentum is not a force, it is the idea that the motion of an object can depend on its mass and velocity.

I would check official dictionaries, just to make sure these definitions align with your textbook's.

at what distance from a -5.35*10^-6 C charge will the electric potential be -500 v?

Answers

Answer:

Different values of Q will make different values of electric potential V (shown in the image). The electric potential arising from a point charge Q, at a distance r from the charge is observed to be where ε0 is the permittivity of vacuum. VE is known as the Coulomb potential .Explanation:

The distance from the -5.35 × 10⁻⁶ C charge where the electric potential is -500 V is approximately 0.0935 meters or 9.35 cm.

To determine the distance from a charge where the electric potential is -500 V, we can use the formula for electric potential due to a point charge:

V = k × (Q / r)

Where:

V is the electric potential (in volts),

k is the Coulomb's constant (approximately 8.99 × 10⁹ Nm²/C²),

Q is the charge (in coulombs), and

r is distance from the charge (in meters).

Rearranging the formula, we solve for the distance:

r = k × (Q / V)

Substituting the given values into the equation

k = 8.99 × 10⁹ Nm²/C²,

Q = -5.35 ×10⁻⁶ C, and

V = -500 V,

r = (8.99 × 10⁹ Nm²/C²) × (-5.35 × 10⁻⁶ C / -500 V)

Calculating this expression:

r ≈ 0.0935 meters or 9.35 cm

Therefore, the distance from the -5.35 × 10⁻⁶ C charge where the electric potential is -500 V is approximately 0.0935 meters or 9.35 cm.

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A person weighing 6:0 102 newtons rides an elevator upward at an average speed of 3.0 meters per second for 5.0 seconds. How much does this person's gravitational potential energy increase as a result of this ride

Answers

This ride increases this person's gravity potential energy by 9000 Joules.

What is gravitational force ?

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.

What is energy ?

The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.

Weight of the person, W = 6 x 102 N = 600 N

Avg. Speed of elevator, v = 3 m/s

Time of ride, t = 5 sec.

Therefore,

Mass of the person, m = W/g = 600/9.8 = 61.2244 kg

Height of the elevator after 5 sec, h = v x t = 3 x 5 = 15 m

Potential energy increase , PE = mgh = 61.2244 x 9.8 x 15

                                              PE = 9000 Joule

Therefore, 9000 Joule does this person's gravitational potential energy increase as a result of this ride.

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What are the 7 basic forms of hazardous energy in the industrial plants?

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Machines and equipment use a variety of energy sources, including electrical, mechanical, hydraulic, pneumatic, chemical, thermal, and others.

What are the forms of hazardous energy?

Equipment and machinery that draw power from electrical, mechanical, hydraulic, pneumatic, chemical, thermal, or other sources may put workers at risk.

hazards to safety

biological threats

bodily dangers

hazards of ergonomics

chemistry risks

threats to organisations during work.

environment-related risks.

Potential energy, or stored energy in an object, poses a risk to employees if it is suddenly released.

Lockout is only one aspect of hazardous energy control. It includes measures like machine guarding, alternative guarding arrangements that stop exposure to hazardous energy, lockouts, and other ways to protect workers from coming into touch with such energy. Anything that could be harmful, hurt someone, or have negative health impacts on something or someone is said to be in a hazardous condition.

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a car weighs 3600 kg is traveling at 21.0 m/s. the driver doesn?t notice a red light and rear-ends another car at rest. both cars stick together and move with a speed of 9.0 m/s. what is the mass of the car that was at rest?

Answers

The mass of the car that was at rest is 4800kg.

What is mass?

Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.

What is momentum?

As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.

m= 3600kg

Vi= 21.0m/s

Vf = 9.0m/s

conservation of momentum

mVi= (m+M) Vf

mass of rest car M = (Vi-Vf )m/Vf

M = (21.0 m/s - 9.0m/s)* 3600 kg/ 9.0m/s

M= 4800kg

Therefore, the mass of the car that was at rest is 4800kg.

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25. What force must be exerted on the pedal cylinder of a hydraulic lift to support the weight of a 2000-kg car (a large car) resting on the wheel cylinder

Answers

A hydraulic lift's master cylinder must be subjected to a force of 136N.

What is the tenet of the Archimedes Principle?

According to Archimedes' principle, an object that is totally or partially submerged in a fluid will feel upward buoyant force that is equivalent in strength toward the point of gravity here on displaced fluid.

Where is the principle of Archimedes used?

The design principle for vessels and submarines uses Archimedes' principle. The Archimedes principle is the foundation of hydrometers.

According to Archimedes' principle:

F1 / A1 = F2 / A2

F2 = (A2 / A1) * F1

Also, the formula for the force is F = mg.

The formula for the area of the cylinder is A = , therefore we get

F2 = ( π [tex](r2)^{2}[/tex] / π [tex](r1)^{2}[/tex] ) * mg

Since the cylinders' diameter is 2 cm and 24 cm, r1 = 12 and r2 = 1.

Substituting the values to the derived equation, we get

F2 = ( π [tex](1)^{2}[/tex] / π [tex](12)^{2}[/tex] ) * 2000 * 9.8

2 = 136 N

Thus, the force exerted must be 136N.

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A spring with a cart at its end vibrates at frequency 5.0Hz\;Hz .
A. Determine the period of vibration.
B. Determine the frequency if the cart's mass is doubled while the spring constant remains unchanged.
C. Determine the frequency if the spring constant doubles while the cart's mass remains the same.

Answers

A. The period of vibration is the time it takes for one complete oscillation to occur. It is the reciprocal of the frequency. The period of vibration can be calculated using the formula:

Period = 1/Frequency

Given that the frequency of vibration is 5.0Hz, the period of vibration is:

Period = 1/5.0 s

Period = 0.2 s

B. If the cart's mass is doubled while the spring constant remains unchanged, the frequency of vibration will not change. This is because frequency is dependent on the spring constant and the mass of the cart and not on the amplitude of the oscillation.

C. If the spring constant doubles while the cart's mass remains the same, the frequency of vibration will also double. This is because frequency is directly proportional to the square root of the spring constant. Therefore, doubling the spring constant would lead to an increase in the frequency of vibration by a factor of square root of 2.

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At what voltage can a 10 μF capacitor be energized to 0.45 J?

Answers

Given :

Capacity of capacitor is, [tex]C = 10\ \mu F[/tex].

To Find :

At what voltage can a 10 μF capacitor be energized to 0.45 J.

Solution :

We know, energy in capacitor is given by :

[tex]E = \dfrac{CV^2}{2}[/tex]

So,

[tex]V = \sqrt{\dfrac{2E}{C}}\\\\V = \sqrt{\dfrac{2\times 0.45}{10}}\ \mu V\\\\V = 0.3 \ \mu V[/tex]

Therefore, voltage required is [tex]0.3 \ \mu V[/tex] .

What environmental factor can influence natural selection and decrease genetic diversity?

Answers

The genetic and chemical variety of plant populations is influenced by environmental factors such as soil nutrients, temperature, water availability, and light intensity.

How may the environment impact genetic diversity?

Sometimes a gene's DNA sequence or degree of activity is altered by the environment. Both of these effects have the capacity to change the proteins that a gene generates, which then affects traits. Some harmful environmental factors can change the nucleotide sequence of a gene. UV rays, for example, can harm DNA strands.

How is natural selection impacted by environmental factors?

Successful competitors have a higher chance of surviving. Individual creatures with specific qualities are more likely to survive under specific environmental conditions than those without these traits.

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What is moment arm distance?

Answers

The distance between the force's line of action and the center of moments, also known as the moment arm or lever arm, is perpendicular. Force times distance equals moment.

Moment distance: what is it?

A force's moment is determined by its magnitude and distance from the rotational axis. The strength of a force is measured by its moment around a point (the perpendicular distance of the line of action of the force from the point).

What exactly are moment and lever arms?

The distance from an axis to the line of action of a force is known as the moment arm (or lever arm) of a force system. In other words, the moment arm controls the torque's quality.

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hello please help i’ll give brainliest

Answers

Answer:

Oceanic crust moves easly. Continental crust does not move

What causes high latency?

Answers

A low bandwidth will result in a high ping (delay) and, most likely, lag while you're playing. It will also affect how quickly data is delivered and then received.

When latency is high, what does that mean?

Because of the temporal lag caused by high latency, gaming might be much less enjoyable. It is essential because low latency allows for more fluid gameplay. Typically, a latency (or ping) of 40–60 milliseconds (ms) or less is considered to be acceptable.

What happens when latency is reduced?

Your website resources will load more quickly if server latency is reduced, which will also improve the time it takes for visitors to load all of your pages.

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An electrical conductor that has very low resistance to current at low temperatures is called a(n) .

Answers

An electrical conductor that has very low resistance to current at low temperatures is called a(n) Superconductor.

Superconductors are magnetic, right?

A superconductor's hatred of magnetic fields is one of its basic characteristics. A superconductor generates its own equal and opposite magnetic field when a magnetic field is applied by a scientist.

What is the name of a permanent magnet's two poles?

A north-seeking pole (north pole) and a south-seeking pole (south pole) are found at either end of every magnet. Depending on how they are arranged, these two oppositely charged poles enable magnets to both repel and attract other magnets.

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How do you find thermal energy from kinetic and potential energy?

Answers

Thermal energy can be found from kinetic and potential energy by calculating the amount of work done on an object. Work is equal to the amount of force multiplied by the distance moved by the object.

The Kinetic energy is equal to the mass of the object multiplied by the square of its velocity. Potential energy is equal to the mass of the object multiplied by the acceleration of gravity multiplied by the height of the object. Thermal energy is equal to the sum of the kinetic and potential energies.

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01) When operating a simple machine an effort of 60N is used to lift the load of 240 N. Find the mechanical advantage.

02) When operating the same machine the effort arm moves 4m while load moves 1m. Find velocity ratio

03) In the same machine find work input.

04) In the same machine find work output.

05) Find the efficiency of this simple machine.

Useless answers will be reported!

Answers

Answer:

1 MA= load/effort

MA= 240/60

MA=4

2.VR=Distance moved by effort/ Distance moved by Load

VR=4/1

= 4

5. Efficiency= MA/VR

4/4*100/1

=100%

What is the tangential speed of a passenger on a Ferris wheel that has a radius of 42 m and rotates once in 25 sec

Answers

Where r is the radius, v is the tangential speed, and is the angular speed The tangential speed is 2.1 m/s as a result.

Any object traveling in a circular motion has a linear speed known as tangential velocity. On a turntable, a point in the center moves less distance in a full rotation than a point near the outside edge. Tangential speed and tangential velocity are not the same thing. The amount of tangential velocity, which is generally referred to as velocity, is what you are referring to. Technically, the nomenclature is incorrect, and speed is actually its magnitude whereas tangential velocity comes with the direction, a.The circle's circumference divided by the duration required for one complete spin gives us the tangential velocity: 2*pi*r/t. The relationship between it and angular velocity is also shown by the formula V = w * r, w.

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Solve these 5 items in your notebook and take a clear and readable photo. PS. You need to balance the equation before u identify the type of chemical reaction.

Answers

Answer:

that is not physics pls dont do that again

Explanation:



1. What are the criteria for accepting a theory as a physical law?

Answers

A theory must meet certain requirements in order to be accepted as a physical law , 1. It must explain the available data 2. It need to offer hypotheses that can be verified by science.

A physical law outlines the broad relationships between and, when necessary, changes in the physical quantities that define the states of a physical system. Typically, this is described mathematically. These laws are also known as natural laws or are associated with them in the physical realm. A physical law applies with a very high probability when it falls within its scope of applicability. Physical experiments and observations that are specifically focused are used to test this validity range. The law is established if the outcomes match the predictions.

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Like the Kelvin scale, the Rankine scale is an absolute temperature scale: Absolute zero is zero degrees Rankine (0∘R). However, the units of this scale are the same size as those on the Fahrenheit scale (∘F) rather than the Celsius scale (∘C).
A) Given that water at standard pressure freezes at 0∘C, which corresponds to 32∘F, and that it boils at 100∘C, which corresponds to 212∘F, calculate the temperature difference ΔT in degrees Fahrenheit that corresponds to a temperature difference of 1 K on the Kelvin scale.
B) What is the numerical value of the triple-point temperature Ttriple of water on the Rankine scale?

Answers

The temperature difference of  1 K on the Kelvin scale is equivalent to the temperature difference of (5/9)°F on the Fahrenheit scale.  Triple-point temperature of water is approximately 491 degrees Rankine.

The unit of scales on the Rankine scale is the same as those on the Fahrenheit scale. Hence, from the freezing point of water (0⁰C) to the boiling point of water(100⁰C) , Rankine scale is divided into 180 scales.

The absolute zero is zero degrees Rankine.  In Celsius scale, absolute zero is −273 °C.

A). A unit scale on the Kelvin scale is the same size as a unit scale in the Celsius scale. Hence,

ΔT 1 K = ΔT 1°C

The ratio of Celsius and Fahrenheit scale is 5/9, therefore:

K/F = C/F = 5/9

Hence,

ΔT 1 K = ΔT (5/9)°F

B) Triple-point temperature of water is approximately 0 °C. Since zero degrees Rankine is equivalent to  −273 °C, hence:

0 °C = 0 - (9/5)(-273) = 491 degrees Rankine.

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