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 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 1

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.

Answer 2

Answer:

Explanation:

Ans is (D)