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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.
How many revolutions does the engine make during this time?

Text Solution

Verified by Experts

The angular displacement in time t is given by
`theta=omega_(0)t+(1)/(2)alphat^(2)`
`=(40pixx16xx(1)/(2)xx4pixx16^(2))"rad"`
`=(640pi+512pi)"rad"`
`=1150pi" rad"`
Number of revolutions = `(1152pi)/(2pi)=576`
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