Problem: A 10 cm radius disk is rotating about an axis through its center with a small ant at the rim. From t = 0s to t = 5s, it rotates at a constant angular speed of 5 rad/s. From 5s to 10s, it has an angular acceleration is 15 rad/s2. From 10s to 17s, the disk slows to a stop under constant angular acceleration. (a) At 7s, what is the linear, tangential acceleration of the ant? (b) At 7s, what is the linear, centripetal acceleration of the ant? (c) At 7s, what is the linear acceleration of the ant?

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Problem Details

A 10 cm radius disk is rotating about an axis through its center with a small ant at the rim. From t = 0s to t = 5s, it rotates at a constant angular speed of 5 rad/s. From 5s to 10s, it has an angular acceleration is 15 rad/s2. From 10s to 17s, the disk slows to a stop under constant angular acceleration.

(a) At 7s, what is the linear, tangential acceleration of the ant?

(b) At 7s, what is the linear, centripetal acceleration of the ant?

(c) At 7s, what is the linear acceleration of the ant?

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