A wheel completes 2.4 revolutions in 3 seconds. What is the angular velocity of the wheel in radians per minute? As simplified fraction.

Answer 1

2.4 revolutions in 3 seconds would be 20 x 2.4 = 48 revolutions in a minute since there are 20 three second intervals in a minute.

Each revolution, 48 of them, covers an angle of 2pi radians, so the angle from the center of the wheel would move at 48 * 2pi, or 96 pi radians each minute.