Question

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true? Check all that apply. The angular velocity is 10π rad/sec. multiple can be chosen

A)The angular velocity is 10π rad/min.
B)The angular velocity is 60π rad/min.
C)The angular velocity is 600π rad/sec.
D)The angular velocity is 600π rad/min.

Answer 1

A and D

Explanation:

a)

`(.5 rev)/(.1 )` = 5 rev/sec

-- Convert to radians

`(5 rev)/(1 sec) * 2\pi =10 (radians)/(sec)`

d)

`10(rad)/(sec)*(60 sec)/(1 min)` = 600 rad/min

Answer 2

we know that

The angular velocity is 10π rad/sec
step 1
convert to rad/min
1 min-----60 sec
X min----> 1 sec
X=1/60 min
V=10π rad/(1/60)------> V=600 π rad/min

the answer is the option
D)The angular velocity is 600π rad/min.