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The angular velocity of a motor wheel ch...

The angular velocity of a motor wheel changes from `180` rpm to `300` rpm in `4` seconds. Calculate the no. of revolutions does the engine make during this time.

Text Solution

Verified by Experts

`omega=omega_(0)+alpha t`
`implies((300-180))/(60)=alphaxx4`
`impliesalpha=(2)/(4)=0.5 rev//s^(-2)`
using `theta=omega_(0)t+(1)/(2)alphat^(2)`
`=(180)/(60)xx4+(1)/(2)xx0.5xx16`
`=16` revolution
Hint : Use kinematic equations of rotational motion.
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Knowledge Check

  • The angular speed of a motor wheel is increased from 1200 rpm to 3120 rpm in 16 seconds How many revolutions does the engine make during this time ?

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