Question

An insect trapped in a circular groove of radius 12cm moves along the groove steadily and completes 7 revolutions in 100s. (a) What is the angular speed and the linear speed of the motion? (b) Is the acceleration vector a constant vector? What is its magnitude?

Answer 1

Answer:

here is your answer

Explanation:

Solution :

Her, T=100/7s,r=12cm

(a) Angular speed , ω=2πT=(2×22/7(100/7) ltbrltgt =0.44rad/s

Linear speed, v=rω12×0.44

=5.3cms−1

(b) The given motion is a uniform circular motion. Here the direction of velocity id along the tangent to the circle at every point. The acceleration in this motion is centripetal acceleration. It is alwys directed towards the centre of the circle. Since this direction changes therfore, the acceleration here is not a constant vector. The magnitude of acceleration is _(c) =omega ^(2) =(0.44 )^(2) xx 12 2.3 cm s^(2)`.

hope it helps you

Answer 2

see this attachment mate