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Minute hand has length of 1 cm find it`s angular velocity

Minute hand has length of 1 cm find it`s angular velocity

Grade:11

1 Answers

Arun
25750 Points
6 years ago
The end of the arrow of the hand rotates in a circle of radius 5 cm. It moves the circumference = 2 π 5 cm in one rotation, that is 60 minutes = 3600 seconds.

So the LINEAR speed of the TIP of the minute hand = 2π * 0.01 meter / 3600 sec
         = 0.0000174 meters/sec or 0.017 mm/sec
         = 6.28cm / hour

The angular speed of the minutes hand is :
         360 degrees / 3600 seconds = 0.1 degree/second

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