Question

A table clock has its minute hand 4.5cm long. Find the average velocity of the tip of the minute hand

Answer 1

Speed of hour hand=0.5 degrees per minute.
Speed of minutes hand=6 degrees per minute
angular distance moved by the minute hand between

12.00Am o 12.30 Am=30 (6 degrees ) =180 degrees
average angular velocity in this period is
π/1800 rad/s
so, angular velocity of the tip of minute hand will be
4.5 x π/1800
=0.0025πcm/s
similarly for the second part the minute hand will cover( 6

degrees)(750)=4500 degrees
Angular velocity in this period is
25π/750x60=π/1800 rad/s
Average velocity of the tip of minute hand will be
4.5 x π/1800=0.0025πcm/s