Answered: 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…

College Physics

11th Edition

ISBN: 9781305952300

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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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.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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