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The angular velocity of a body changes from ω1 to ω2 without applying external torque. Then find the ratio of initial radius of gyration to final radius of gyration.

Important Questions on Rotational Mechanics

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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>BEGINNER'S BOX - 5>Q 4
A stone is attached to a string and is revolved in a circular path with constant angular velocity ω. In this state its angular momentum is L. If the length of the string is reduced to half, and again it is revolved with the same angular velocity ω then find its angular momentum.
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>BEGINNER'S BOX - 5>Q 5
A thin uniform thin rod of mass m and length l is suspended from one of its ends and is rotated at the rate of f rotations per second. Find the rotational kinetic energy of the rod.
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>BEGINNER'S BOX - 5>Q 6
A wheel of the moment of inertia 10 kg m2 rotates at the rate of 10 revolutions per minute. Find the work done in increasing its speed to 5 times of its initial value.
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>BEGINNER'S BOX - 5>Q 7
A solid ball of mass 1 kg and radius 3 cm is rotating about its own axis with an angular velocity of 50 rad sec-1. Find its kinetic energy of rotation.
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>BEGINNER'S BOX - 5>Q 8
When sand is poured gradually on the edge of a rotating disc, what will be the change in its angular velocity?
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>BEGINNER'S BOX - 6>Q 1
The moment of inertia of a wheel about its axis of rotation is 3.0 MKS units. Its kinetic energy is 600 J. Find its period of rotation.
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>BEGINNER'S BOX - 6>Q 2
The moment of inertia of a wheel is 1000 kg m2. At a given instant, its angular velocity is 10 rad s-1. After the wheel rotates through an angle of 100 rad, its angular velocity increases to 100 rad s-1. Calculate the torque applied on the wheel.  
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Beta Question Bank for Medical: Physics>Chapter 10 - Rotational Mechanics>BEGINNER'S BOX - 6>Q 3
The moment of inertia of a wheel is 1000 kg m2. At a given instant, its angular velocity is 10 rad s-1. After the wheel rotates through an angle of 100 rad, its angular velocity increases to 100 rad s-1. Calculate the torque applied on the wheel.