Question

what is the angular velocity of the minute hand of a clock what is the angular displacement in 20 minutes if the minute hand is 5 metre long what is the linear velocity of the tip​

Answer 1

w=2π/T

Now for minute hand, time period is 1 hour. But you need to convert it in seconds (SI)

So 1 hour =60×60=3600 sec’s

w=2×3.14/ 3600=0.00174 rad/sec.

2. Angular displacement =w•t=0.00174×20×60 . (again in seconds)

=2.0934 rad

3.linear velocity

R=0.05 metres

V=Rw=0.05×0.00174=0.000087 metres per second.

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