A flywheel rotates about an axis. Due to friction at the axis, it experiences an angular retardation proportional to its angular velocity. If its angular velocity falls to half while it makes n rotations, how many more rotations will it make before coming to rest?
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Explanation:
Answer :
n3
Solution :
α=−kω
dωdt=−kdθdt
∫ω04ω0dω=−k∫n0dθ
34ω0=kn
∫0ω0dω=−k∫n0dθ
ω0=kn'
⇒n'=ω0k=4n3
Δn=4n3−n=n3
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Answer:
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