Physics, asked by Vishalagnii3493, 1 year ago

Does angular momentum change with radius?

Answers

Answered by Humanbeings
0

Yes, angular momentum of a rotating body changes with radius.

Explanation:

The angular momentum

J

of a point mass

m

rotating with a linear velocity

v

at a radius

r

about an axis is given as

J

=

m

(

r

×

v

)

In scalar form, the angular momentum

J

of a point mass

m

rotating with an angular velocity

ω

at a radius

r

about an axis is given as

J

=

m

v

r

J

=

m

(

r

ω

)

r

J

=

m

r

2

ω

J

r

2

The above equation shows that the angular momentum of a rotating body varies with the square of radius

r

.

In case of an extended body

r

is the distance of center of mass from the axis of rotation.

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