Question

A body is in pure rotation. The linear speed v of a particle the distance r of the particle from the axis and the angular velocity omega of the bost are related as

Answer 1

The angular velocity ω is independent of r.

Explanation:

ω = v / r

If the body is at r1 distance the  it's velocity is.

v1 = ωr1

If the body is at r2 distance the  it's velocity is.

v2 = ωr2

• It means that at every point of a circular body the velocity is ω.

• This shows that there is no relation between r and ω.

• Therefore the angular velocity ω is independent of r.

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A body is whirled in a horizontal circle of radius 20 cm. it has an angular velocity of 10 rad . what is its linear velocity at any point on circular path ?

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Answer 2

Answer:

v=rω

Remember, ω is independent of r