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Constrained Motion : Intuitive Approach

A merry-go-ro...

Question

A merry-go-round turns through 6000 degrees in 3 s from rest. _____ is the average angular speed of the ride.

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Solution

$θ_{1} = 0, θ_{2} = 60$ and t = 3 secs
Angular velocity = $(θ_{2} - θ_{1}) / t$ =60/3 = 20 degrees/sec
In radians/sec, we can write 20 degrees/sec as = $2000 \times \frac{π}{180} = 35 r a d i a n s / s$

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