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Q.

The angular speed of the wheel of a vehicle is increased from 360 rpm to 1200 rpm in 14 s. Its angular acceleration is [NEET 2020]

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a

2πrad/s2

b

28πrad/s2

c

120πrad/s2

d

1 rad/s2

answer is A.

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Detailed Solution

Initial angular speed of wheel,ω0=2πf0=2π×36060rad/s=12πrad/sFinal angular speed of wheel,ω=2πf=2π×120060rad/s=40πrad/st = 14 sFrom the equation of rotational motion,  ω=ω0+αt⇒  α=ω-ω0t=40π-12π14=28π14=2πrad/s2
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