A insect starts crawling towards the center with a constant velocity of 0.5 m / s just when the disc starts rotating with an angular velocity of 2 t rad /s. Here t is the time in seconds. The radius of the disc is 1 m. Determine the magnitude of the insect's velocity at t = 1 s.
a) 1.00 m / s
Radial velocity of
the insect v r = - 0.5 m / s .
The radial distance covered by the insect till the instant t = 1 s is given by,
At t = 1 s the insect is situated at 1 - 0.5 = 0.5 m from the center.
Hence the radial ( v r ) and the transverse component of the velocity ( v q ) are given by,
The magnitude of the insect's velocity is,
The magnitude of insect 's velocity at t = 1 second is 1.19 m / s .