Question

1. A cyclist moving on a circular track of radius 100 m
completes one revolution in 4 minutes. What is his
(i) average speed (ii) average velocity in one full
revolution ? [Ans. (i) 50 metre/minute (ii) 0]​

Answer 1

Explanation:-

R = 100 m

t = 4 minutes

To find :-

It's average speed and velocity.

Solution:-

As , The particles moves in the circular path.

So, Distance covers in one revolution is $S = 2 \pi r$

→$S =2 \times \dfrac{314}{100}\times 100$

→$S =2 \times 314$

→$S = 628 m$

Average speed of cyclists will be :-

→$A_v =\dfrac{\text{Total distance travelled}}{\text{Total time taken }}$

→$A_v = \dfrac{100}{4}$

→$A_v= 25 m /min$

Average speed of cyclists is 25 m/min.

Average velocity is defined as the total displacement covered by the particle to total time taken.

As displacement covered by particle is 0.

hence,

Average velocity will be 0.