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The angular speed of a motor wheel is in...

The angular speed of a motor wheel is increased from 1200 rpm to 3120 rpm is 16 seconds.
What is its angular acceleration, assuming the acceleration to be uniform?

Text Solution

Verified by Experts

We shall use `omega=omega_(0)+alphat`
`omega_(0)` = initial angular speed in rad/s
`=2pixx` angular speed in rev/s
`=(2pixx"angular speed in rev/min")/("60s/min")`
`=(2pixx1200)/(60)" rad/s"`
`=40pi" rad/s"`
The angular acceleration of the engine
`=4pi" rad/s"^(2)`
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