Question

A body covers a circular path of radius "R" in 20sec. calculate distance and displacement of the body at the end of 50th sec.​

Answer 1

✓ Given :

» Body covers circular path of radius R in 20 secs.

✓ To find :

» Distance and displacement at the 50 th secs.

✓ Solution :

One circular path ( full rotation) = 2πr units.

» Circumference = 2πr units.

Time = 20 seconds.

Speed = distance travelled / time taken

Speed = 2πr / 20

» Speed = πr / 10

Now ,

Speed = distance travelled / 50 = πr/10

Therefore distance = 5πr units.

Displacement is the shortest distance travelled = 2r

where r is the radius.

» distance = 5πr units.

» Displacment = 2r units.

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