Question

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

Answer 1

Answer:

Explanation:

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)`.