The second hand of the watch made 20 revolutions. Find the angle of rotation of the end of the arrow and the angular velocity

One revolution of the second hand – 360 ° or 2p rad.

This means that in 20 revolutions the second hand will turn to:

360 * 20 = 7200 ° or 2p * 20 = 40p rad.

To find the angular velocity, you need to divide the angle of rotation by time.

ω = φ / t.

One revolution of the second hand is equal to a minute, 20 revolutions will take 20 minutes.

20 minutes = 1200 s.

40p / 1200 = p / 30 = 0.105 rad / s.

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