A CD has a diameter of 12.0 cm.If the CD is rotating at a constant angular velocity of 20 radians per seconds,then the tangential velocity of a point on the circumference is
A) 2.0 m/s.
B) 1.9 m/s.
C) 1.5 m/s.
D) 1.2 m/s.
E) 1.0 m/s.

Question

Quizplus · Accepted Answer

The tangential velocity of a point on the circumference of a rotating object can be found using the formula:

v = ωr

where v is the tangential velocity, ω is the angular velocity, and r is the radius of the object. In this case, the radius of the CD is half of its diameter, or 6.0 cm (0.06 m). Substituting the given values, we get:

v = (20 rad/s) (0.06 m) = 1.2 m/s

Therefore, the correct choice is D) 1.2 m/s.

A CD Has a Diameter of 12