Question

A body in uniform circular motion with half of time
period equals to T, has a speed
(R : radius of circle)

( 1) R/πT
(2) R/T
(3)2πR/T
(4)πR/T​

Answer 1

total time is =2T

• distance =2

Answer 2

Answer:

$v=\dfrac{2\pi R}{T}$

Explanation:

Given that.

Time period of the body in circular motion is T

The radius of the circular path is R

The speed of an object is given by total distance divided by total time taken. Mathematically, it is given by :

$v=\dfrac{d}{t}$

On circular path, total distance is equal to the circumference of the circle such that, $d=2\pi r$

$v=\dfrac{2\pi R}{T}$

So, the speed of the body in uniform circular motion is $\dfrac{2\pi R}{T}$. Hence, this is the required solution.