Question

19(ii) If T is the time period of uniform revolution of the particle on the circle, then the speed of the object at B is:-

A) 2π/2T

B) √2R/T

C) 2πR/T

D) R/T​

Answer 1

Answer:

Option a

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Answer 2

Therefore the speed of the object is 2πR/T. (Option-C)

Given:

The time period of uniform revolution of the particle = T sec

To Find:

The speed of the object.

Solution:

The given question can be solved very easily as shown below.

Given that,

The time period of uniform revolution of the particle = T sec

⇒ The frequency of the particle = f = 1/T

⇒ Then Angular velocity = ω = 2πf = 2π/T

⇒ Then velocity of the particle = v = ω × R

⇒ The velocity of the particle = 2π/T × R = 2πR/T

Where R is the radius of the path.

Therefore the speed of the object is 2πR/T.

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