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A carnival carousel accelerates non-uniformly from rest, moving through an angle

ID: 1443069 • Letter: A

Question

A carnival carousel accelerates non-uniformly from rest, moving through an angle of 8.70 rad in 6.60 s. If it's turning at 3.35 rad/s at that time, find the following. (a) Find its average angular speed during that time interval.
rad/s

(b) Find its average angular acceleration during that time interval.
rad/s2
A carnival carousel accelerates non-uniformly from rest, moving through an angle of 8.70 rad in 6.60 s. If it's turning at 3.35 rad/s at that time, find the following. (a) Find its average angular speed during that time interval.
rad/s

(b) Find its average angular acceleration during that time interval.
rad/s2
(a) Find its average angular speed during that time interval.
rad/s

(b) Find its average angular acceleration during that time interval.
rad/s2

Explanation / Answer

Initial angular velocity = 0

Final angular velocity = 3.35 rad/s

time taken = 6.60 s

angular displacement = 8.70 rad.

(a)

average angular velocity = angular displacement / time = 8.70 / 6.60 = 1.32 rad/s

(b)

average angular acceleration = change in angular velocity / time = 3.35 - 0 / 6.60 = 0.508 rad/s2

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