Question

If a body is in a uniform circular motion with a speed of 2m/s having a radius 1m then average revolution of body after revolution of 1320 degree is​

Answer 1

Given : If a body is in a uniform circular motion with a speed of 2m/s having a radius 1 m.

To find : The average velocity of body after revolution of 1320°.

solution : we know, 360° = 2π

so, 1320° = 2π/360 × 1320 = 66π/9 = 6π + 4π/3

we know, displacement covers in one revolution (2π radian) is zero.so, displacement covers in three revolution (i.e., 6π radian) is zero.

now displacement due to 4π/3 , s = 2rsin(120°)

= 2 × 1 × √3/2

= √3 m = 1.732

time taken to revolve 22π/3 , t = θ/ω

= (22π/3)/(v/r)

= (22π/3)/(2/1)

= 11π/3 seconds

now the average velocity = net displacement/total time

= (1.732)/(11π/3)

= 1.732 × 3/11π

= 0.15 m/s

Therefore the average velocity of body is 0.15 m/s.