A turntable rotates counterclockwise at 63 rpm. A speck of dust on the turntable is at θ = 0.57 rad at t = 0 s. What is the angle of the speck at t = 9.5 s? Your answer should be between 0 and 2π rad.

Answer 1

Va=63rev/min * 6.28rad/rev * 1min/60s=
6.594 rad/s.

Angle=0.57 + 6.594rad/s*9.5s=63.21 rad.
or 0.4132 rad.