To understand rotation about fixed axes in a simple system. A child is pushing a playground merry-go-round. The angle through which the merry-go-round has turned varies with time according to the angular displacement function θ(t)=γt+βt3, where γ=0.400rad/s and β=0.0120rad/s3.   Calculate the angular velocity ω of the merry-go-round as a function of time. What is ω0, the angular velocity’s initial value? Calculate the instantaneous value of the angular velocity ω(t) at time t=5.00s. Calculate the average angular velocity ωavg for the time interval t=0 to t=5.00s.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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To understand rotation about fixed axes in a simple system.

A child is pushing a playground merry-go-round. The angle through which the merry-go-round has turned varies with time according to the angular displacement function θ(t)=γt+βt3, where γ=0.400rad/s and β=0.0120rad/s3.

 

Calculate the angular velocity ω of the merry-go-round as a function of time.

What is ω0, the angular velocity’s initial value?

Calculate the instantaneous value of the angular velocity ω(t) at time t=5.00s.

Calculate the average angular velocity ωavg for the time interval t=0 to t=5.00s.

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