Question

On (A) : Kinematics of circular motion
wo racing cars of masses mi and m2 are moving in circles of radii r and 2r respectively and their
angular speeds are equal. The ratio of the time taken by cars to complete one revolution is :
A) mi:ma
(B) 1:2
(C) 1:1
(D) mi: 2m2​

Answer 1

Hello dear,

◆ Answer -

(C) 1:1

◆ Explaination -

Given that angular speed of two cars are equal.

ω1 = ω2

2π/T1 = 2π/T2

T1 = T2

T1:T2 = 1:1

Therefore, ratio of time taken by cars to complete one resolution is 1 : 1.

* Time period of circular motion is independent of mass of a car.

Thanks dear. Hope this helps you.

Answer 2

◆ Answer -

(C) 1:1

◆ Explaination -

Given that angular speed of two cars are equal.

ω1 = ω2

2π/T1 = 2π/T2

T1 = T2

T1:T2 = 1:1

Therefore, ratio of time taken by cars to complete one resolution is 1 : 1.