Question

How much time will a body moving in a circular path of radius 14m with a circular velocity of 10m/s take to make one complete circle?

Answer 1

8.8s

speed = distance/time
S = 2πr/t
10 = (2×22/7×14)/t
t = 88/10
t = 8.8s.

Answer 2

Given data :- A body moving in a circular path of radius 14m with a circular velocity of 10m/s.

Here,

→ velocity of body ( v ) = 10 m/s

→ Radius of cicular path ( r ) = 14 m

Solution :-

First here we nee to find circumference of circular path.

→ Circumference of circular path = 2πr

→ Circumference of circular path = 2 × 22/7 × 14

→ Circumference of circular path = 2 × 22 × 2

→ Circumference of circular path = 88 m

Here, we use formula to find time require by body to complete circular path

Let, displacement = 88 m

→ velocity = displacement/time

→ 10 = 88/time

→ time = 88/10

→ time = 8.8 sec.

Hence, time require by body to complete circular path is 8.8 sec.

More info :-

→ Circular motion : The motion of a particle along a complete circle pr a part of it is called circular motion.

→ Uniform Circular Motion [UCM] : A particle is said to perform uniform circular motion if it moves in a cirle or a circular arc at a constant linear speed or constant angular velocity.