Question

Uniform circular motion describes the motion of a body traversing a circular

path at constant speed. Since the body describes circular motion, its distance

from the axis of rotation remains constant at all times. Though the body’s

speed is constant, its velocity is not constant.

(i) What is the distance travelled by the object if it goes a complete round in a

circular path of radius 50m?
(ii) What is the displacement in the above situation?

(iii) Calculate the speed of the object if it takes 20sec to complete a round.

(iv) Calculate the average speed after completing 3 round
pls give ans and working​

Answer 1

Answer:

(i) 314 m

(ii) 0 m

(iii) 15.7 m/s

(iv) 15.7 m/s

Explanation:

(i) The Body is travelling in a circular path that means it is covering the distance of the circumference of the path of radius 50 m.

Hence, Distance Travelled = Circumference of circle

or, Distance = 2πr = 2×3.14×50 = 314 m

(ii) Displacement is the shortest path between two points. And since the body is moving in a circular path, then The point where the body starts and the point where it stops is the same.

Hence, the shortest path is 0 m

(iii) & (iv) Since the body is moving with uniform speed it's speed won't change. And that is also true for average speed.

Hence, calculating speed = (Total Distance)/ (Total Time)

= 314/20 = 15.7 m/s

Average speed = (314×3)/(20×3) = 15.7 m/s