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

Question

A carnival carousel accelerates non-uniformly from rest, moving through an angle of 7.80 rad in 6.10 s. If it's turning at 3.90 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

6. A circular track has a radius of 110 m.

(a) Calculate the distance around the track.
_____ m

(b) If a runner jogs 253 m along the track, through what angle has he run?
_____ rad

Explanation / Answer

given,

radius = 110 m

distance of the track = 2 * pi * r

distance of the track = 2 * pi * 110

distance of the track = 691.1503 m

distance = angle * r

253 = angle * 110

angle = 253 / 110

angle = 2.3 rad

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