A body is in pure rotation. The linear speed v of a particle, the dist

1.	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 ω of the body are related as ω = v/r. Thus(a) ω ∝ 1/r (b) ω ∝ r (c) ω = 0 (d) ω is independent of r.
Answer» Answer ⇒ Option (d). ω is INDEPENDENT of r. Explanation ⇒ In the given Relation, ω = v/r, ω is the Constant of Proportionality, v is the Velocity of the Particles which is DIRECTLY proportional to the DISTANCE of the particles from the AXIS (r). ∴ v ∝ r ⇒ v = ω × r Since, ω is the constant of Proportionality, its value will be remains same for the given VALUES of v and r. *∴ Option (d). is correct.* *Hope it helps.*

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 ω of the body are related as ω = v/r. Thus(a) ω ∝ 1/r (b) ω ∝ r (c) ω = 0 (d) ω is independent of r.

Answer»

Answer ⇒ Option (d). ω is INDEPENDENT of r.

Explanation ⇒ In the given Relation,

ω = v/r,

ω is the Constant of Proportionality, v is the Velocity of the Particles which is DIRECTLY proportional to the DISTANCE of the particles from the AXIS (r).

∴ v ∝ r

⇒ v = ω × r

Since, ω is the constant of Proportionality, its value will be remains same for the given VALUES of v and r.

∴ Option (d). is correct.

Hope it helps.

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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 ω of the body are related as ω = v/r. Thus(a) ω ∝ 1/r (b) ω ∝ r (c) ω = 0 (d) ω is independent of r.

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