Home
Class 11
PHYSICS
A solid sphere of mass 1 kg and of radiu...

A solid sphere of mass 1 kg and of radius 10 cm is rotating about one of its diameter with an angular velocity of `pi` rad . `s^(-1)`. Calculate the kinetic energy of the sphere by using the relevant formula.

Text Solution

Verified by Experts

Let the moment of inertia of the sphere about its diameter `I =(2)/(5)"MR"^(2),` M = mass of the and R = radius of the sphere. Kinetic energy of the body
=rotational kinetic energy of the body
=`(1)/(2)Iomega^(2)=(1)/(2)xx(2)/(5)"MR"^(2).omega^(2)`
`=(1)/(5)xx1000xx(10)^(2)xxpi^(2)`
=197392.09 erg.
Promotional Banner

Topper's Solved these Questions

  • ROTATION OF RIGID BODIES

    CHHAYA PUBLICATION|Exercise Section Related Question|2 Videos

  • ROTATION OF RIGID BODIES

    CHHAYA PUBLICATION|Exercise HIGHER ORDER THINKING SKILL (HOTS) QUESTIONS|20 Videos

  • QUESTION PAPERS OF WBCHSE -2018

    CHHAYA PUBLICATION|Exercise SECTION -II|20 Videos

  • SIMPLE HARMONIC MOTION

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|16 Videos

Similar Questions

Explore conceptually related problems

Moment of inertia of a disc is 100 g. cm^(2) . If the disc rotates with an angular velocity of 2 rad .s^(-1) the rotational kinetic energy of the disc is

A wheel is rotating 300 times per minute. The angular velocity of the wheel in rad cdot s^(-1) unit is

A solid sphere of diameter 2 cm and of mass 20 g is rolling with a velocity of 3 cm. s^(-1) . What is the total kinetic energy of the sphere?

A wheel of mass 5 kg and radius 0.4 m is rolling on a road without sliding with angular velocity 10 rad. s^(-1) . The moment of inertia of the wheel about the axis of rotation is 0.65 kg . m^(2) . What is the percentage of the kinetic energy of rotation in the total kinetic energy of the wheel ?

If wheel revolves 120 times per minute then its angular velocity in rad cdot s^(-1) unit is

A disc of mass 2 Kg and radius 1 m rotates about its own axis with and angular speed 60 rpm. Find its kinetic energy and angular momentum .

A particle is moving along a circular path of radius 2 m with constant angular velocity of 3 rad cdot s^(-1) . Detemine the angular displacement (in rad) of the particle in 3 s.

A thin circular ring of mass M and radius R is rotating about its own axis with a constant angular velocity omega . Two object each of mass m are placed gently on the opposite ends of a diameter of the ring. What will be the angular velocity of the ring?