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A fly wheel rotates with a uniform angul...

A fly wheel rotates with a uniform angular acceleration. If its angular velocity increases form `20 pi` rad/s to `40 pi` rad/s in 10 seconds. Find the number of rotations in that period.

Text Solution

Verified by Experts

Initial angular velocity `omega_0` = `20 pi ` rad/sec
Final angular velocity `omega`= `40pi` rad/sec
Time (t) = 10 seconds
Angular acceleration `alpha = (omega-omega_0)/(t) =( 40 pi - 20 pi)/(10)`
`alpha = 2pi` rad/`sec^2`
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