Question

16. Olympic ice skaters are able to spin at about 5 rev/s.

(a) What is their angular velocity in radians per second?
(b) What is the centripetal acceleration of the skater's nose it
it is 0.120 m from the axis of rotation?​

Answer 1

a) w = 31.4 rad / s, b) a = 118.4 m / s²

Step-by-step explanation:

a) let's reduce to the SI system

w = 5 rev / s (2pi rad / 1 rev)

w = 31.4 rad / s

b) the expression for the centripetal acceleration is

a = v² / r

linear and angular variables are related

v = w r

we substitute

a = w² r

a = 31.4² 0.120

a = 118.4 m / s²