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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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Important Questions on Rotation

MEDIUM
JEE Main
IMPORTANT
A wheel is at rest. Its angular velocity increases uniformly and becomes 80 rad s-1 after 5 s. The total angular displacement is
MEDIUM
JEE Main
IMPORTANT
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
EASY
JEE Main
IMPORTANT
A flywheel having a radius of gyration of 2 m and mass 10 kg rotates at an angular speed of 5 rad s-1 about an axis perpendicular to it through its centre. The kinetic energy of rotation is
EASY
JEE Main
IMPORTANT
A wheel is rotating at the rate of 33 rpm. If it comes to stop in 20 s. Then, the angular retardation will be
MEDIUM
JEE Main
IMPORTANT
A sphere of moment of inertia I rolls down an inclined plane without slipping. The ratio of the rotational kinetic energy to the translational kinetic energy is nearly
MEDIUM
JEE Main
IMPORTANT
Total KE of sphere of mass M rolling with velocity v is
MEDIUM
JEE Main
IMPORTANT
A sphere cannot roll without applying external force on
EASY
JEE Main
IMPORTANT
The centre of a wheel rolling on a plane surface moves with a speed v0. A particle on the rim of the wheel at the same level as the centre will be moving at speed