Question

6. A body moving along circular path of radius 21m describes an angle of 60° at the centre of the circle while moving from A to B. If the time taken is 10 sec then in average speed and average velocity
need the correct solution
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Answer 1

It is given that the radius of the circular path is 21 m and the body describes an angle of 60° at the center of the circle.

We have to find the average speed and average velocity.

1) $average speed =\frac{total distance}{total time}$

total distance = arc length

arc length = radius × angle at centre

                  = 21 × $\frac{\pi }{3}$

                   = 7π

∴ average speed = $\frac{7\pi }{10}$

                             = $0.7\pi$

                              = $2.2$

2) $average velocity =\frac{total displacement }{total time}$

                              = $\frac{21}{10}$

                              =$2.1$