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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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Important Questions on Rotation

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JEE Main
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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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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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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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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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MEDIUM
JEE Main
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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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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
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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