Question

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

a. What is the linear speed _______m/s
b. What is the centripetal acceleration of a point on its outer rim _______
c. Consider a point on the CD that is halfway between its center and its outer rim. Without repeating all of the calculations required for parts (a) and (b), determine the linear speed of this point. _______m/s
d. Determine the centripetal acceleration of this point. _______

Answer 1

(a) 31.44 m/s (b) 164.74 m/s²

Step-by-step 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* 5.24\\\\v=31.44\ m/s`

(b) Centripetal acceleration,

`a=(v^2)/(r)\\\\a=(31.44^2)/(6)\\\\a=164.74\ m/s^2`