A solid cylinder of mass 10 kg and radius 0.5 m is rotating about its axis at 20 rad/s. How much is its kinetic energy (in joules)?a)500b)250c)1000d)2000Correct answer is option 'B'. Can you explain this answer?

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A solid cylinder of mass 10 kg and radius 0.5 m is rotating about its axis at 20 rad/s. How much is it's kinetic energy (in joules)?

a)
500
b)
250
c)
1000
d)
2000

Correct answer is option 'B'. Can you explain this answer?

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Verified Answer

A solid cylinder of mass 10 kg and radius 0.5 m is rotating about its ...

CONCEPT:

Kinetic energy (KE):

The energy, which a body has by virtue of its rotational motion, is called rotational kinetic energy.
A body rotating about a fixed axis possesses kinetic energy because its constituent particles are in motion, even though the body as a whole remains in place.
Mathematically rotational kinetic energy can be written as –

Where I = moment of inertia and ω = angular velocity.

The moment of inertia of a solid cylinder of mass 'M' and radius 'R' about the axis of the cylinder

CALCULATION:

Given -

M = 10 kg, R = 0.5 m and ω = 20 rad/s

Mathematically rotational kinetic energy can be written as

Important Point

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A solid cylinder of mass 10 kg and radius 0.5 m is rotating about its axis at 20 rad/s. How much is its kinetic energy (in joules)?a)500b)250c)1000d)2000Correct answer is option 'B'. Can you explain this answer?

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