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A body is in pure rotation. The linear speed v of a particle, the distance r of the particle from the axis and the angular velocity ω of the body are related as ω=vr.

Thus,

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Important Questions on Rotation

MEDIUM
JEE Main
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 9 - Rotation>Objective Problems>Q 54
The motor of an engine is rotating about its axis with an angular velocity of 100 rpm. It comes to rest is 15 s, after being switched off. Assuming constant angular deceleration. What are the numbers of revolutions made by it before coming to rest?
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JEE Main
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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 9 - Rotation>Objective Problems>Q 55
A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first 2 s, it rotates through an angle θ1, in the next 2 s; it rotates through an angle θ2. The ratio of θ2θ1, is
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JEE Main
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 9 - Rotation>Objective Problems>Q 56
A wheel is rotating at 900 rpm about its axis. When power is cut-off it comes to rest in 1 min. The angular retardation in rad s-2 is
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JEE Main
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 9 - Rotation>Objective Problems>Q 57
If the equation for the displacement of a particle moving on a circular path is given by θ=2t3+0.5, where θ is in radian and t is in second, then the angular velocity of the particle after 2 s is
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JEE Main
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 9 - Rotation>Objective Problems>Q 58
A constant torque of 1000 N-m turns a wheel of moment of inertia 200 kg-m2 about an axis through its centre. Its angular velocity after 3 s is
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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 9 - Rotation>Objective Problems>Q 59

A table fan, rotating at a speed of 2400 rpm is switched off and the resulting variation of the rpm with time is shown in the figure. The total number of revolutions of the fan before it comes to rest is

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JEE Main
IMPORTANT
Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 9 - Rotation>Objective Problems>Q 60
A wheel is at rest. Its angular velocity increases uniformly and becomes 80 rad s-1 after 5 s. The total angular displacement is
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JEE Main
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Complete Study Pack for Engineering Entrances Objective Physics Vol 1>Chapter 9 - Rotation>Objective Problems>Q 61
A rigid body rotates about a fixed axis with variable angular velocity equal to α-βt, at the time t, where α, β are constants. The angle through which it rotates before its stops