- #1

physics1234

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Ok, I figured out that the radius is 0.011m and then got stuck. How can you find distance without time?

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- Thread starter physics1234
- Start date

In summary, in this problem you need to find the distance a coin rolls before coming to rest. The coin has a diameter of 2.20 cm and starts with an initial angular speed of 15.9 rad/s. It then experiences an angular acceleration of magnitude 1.76 rad/s2, causing it to slow down. To find the distance, you can use the definition of acceleration and the angular equations. You do not need to find the time, but you could if needed.

- #1

physics1234

- 21

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Ok, I figured out that the radius is 0.011m and then got stuck. How can you find distance without time?

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- #2

Doc Al

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You don't *need *to find the time, but you could find it using the definition of acceleration.

- #3

physics1234

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What would be the best way to do it then?

- #4

Doc Al

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Tell me the definition of acceleration.

- #5

physics1234

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The changing of an object's velocity with time.

- #6

OlderDan

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In this problem you are given an initial angular velocity and angular acceleration. You know the final angular velocity is zero. You can find the angular diplacement and use that to find the distance the coin rolls. The angular equations are directly analogous to the linear equations.physics1234 said:The changing of an object's velocity with time.

- #7

Doc Al

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Right, acceleration is the rate of change of velocity; analogously,physics1234 said:The changing of an object's velocity with time.

[tex]\alpha = \Delta \omega / \Delta t[/tex]

You can use that to find the time. (You can also make use of any other kinematic relationships you know.)

Angular speed is the rate at which an object rotates or moves around a fixed point. It is measured in radians per second (rad/s) or degrees per second (deg/s).

Angular speed is the rate of change of angular displacement, while linear speed is the rate of change of linear displacement. In simpler terms, angular speed measures how fast an object is rotating, while linear speed measures how fast an object is moving in a straight line.

The formula for angular acceleration is a = (ω2 - ω1) / (t2 - t1), where ω2 and ω1 are the final and initial angular velocities respectively, and t2 and t1 are the final and initial times.

Angular acceleration determines the rate at which an object's angular velocity changes. If the angular acceleration is positive, the object's angular velocity increases, causing it to rotate faster. On the other hand, if the angular acceleration is negative, the object's angular velocity decreases, causing it to rotate slower.

Angular speed and angular velocity are closely related, but they are not the same. Angular speed is the magnitude of angular velocity, while angular velocity also includes the direction of rotation. In other words, angular velocity is a vector quantity, while angular speed is a scalar quantity.

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