The wheel makes 25 revolutions in 1 second. What is the angular velocity?

The angular velocity is usually expressed in radians. It remains to go from revolutions per second to radians per second.
The angle of rotation in radians is f = n * 2 * pi, where n is the number of revolutions.
Angular velocity w = f / t = (n * 2 * pi) / t = (25 * 2 * 3.14 rad) / 1 s = 157 rad / s.
Answer: 157 rad / s.



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