There are two points or on a disk with point 1 having a radius of 20 cm and point 2 has a radius of 40 cm. The disk in spinning at 0.3 radians/sec. What is the linear velocity of the point with a radius of 20 cm? What is the linear velocity of the point at a radius of 40 cm?   - How does the linear velocity at 20 cm compare with that at 40 cm? How does the angular velocity, ω, compare at 20 cm and 40 cm? 40 cm has both the higher angular velocity and the higher linear velocity. 20 cm and 40 cm have the same angular velocity, but 40 cm has a higher linear velocity. 20 cm and 40 cm have the same linear velocity, but 40 cm has a higher angular velocity. 20 cm and 40 cm have the same linear velocity and angular velocity. - Now, lets say that the rotating disk is speeding up. What is true of the angular acceleration, α?  20 cm and 40 cm have the same angular acceleration, α.  40 cm has a larger angular acceleration, α than 20 cm.  20 cm has a larger angular acceleration, α than 40 cm.

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Chapter10: Fixed-axis Rotation
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Problem 36P: The angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as...
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There are two points or on a disk with point 1 having a radius of 20 cm and point 2 has a radius of 40 cm. The disk in spinning at 0.3 radians/sec.

What is the linear velocity of the point with a radius of 20 cm?

What is the linear velocity of the point at a radius of 40 cm?

 

- How does the linear velocity at 20 cm compare with that at 40 cm? How does the angular velocity, ω, compare at 20 cm and 40 cm?

40 cm has both the higher angular velocity and the higher linear velocity.
20 cm and 40 cm have the same angular velocity, but 40 cm has a higher linear velocity.
20 cm and 40 cm have the same linear velocity, but 40 cm has a higher angular velocity.
20 cm and 40 cm have the same linear velocity and angular velocity.

- Now, lets say that the rotating disk is speeding up. What is true of the angular acceleration, α?
 20 cm and 40 cm have the same angular acceleration, α.
 40 cm has a larger angular acceleration, α than 20 cm.
 20 cm has a larger angular acceleration, α than 40 cm.

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