an insect trapped in a circular groove of radius 12cm moves along the groove steadily and completes 7 revolutions in 100s.
a)what is angular speed?
b)ehat is linear speed?
c)what is the acceleration?
Given that,
r = 12cm = 0.12m
1. Angular speed = 7 revolution in 100s (since, 1 revolution = 2*3.14*r)
= 7*(2*3.14*0.12)/(100)
= 0.053 rad/s
Linear speed, v = Angular speed *radius
=> v = 0.053*0.12 = 6.3*10-3 m/s =0.63 cm/s
2. Value of acceleration is constant here and always acts towards the center.
It is given by
a = v2/r = 0.033 cm/s2.