Question

A compact disk with a 12 cm diameter is rotating at 5.24 rad/s.

Answer 1

Answer:

(a) 31.44 m/s (b) 164.74 m/s²

Explanation:

Given that,

The diameter of a disk, d = 12 cm

Radius, r = 6 cm

Angular speed = 5.24 rad/s

(a) Linear speed,

$v=r\omega\\\\v=6\times 5.24\\\\v=31.44\ m/s$

(b) Centripetal acceleration,

$a=\dfrac{v^2}{r}\\\\a=\dfrac{31.44^2}{6}\\\\a=164.74\ m/s^2$