Part A Calculate the angular velocity (in r a d / s ) of the second, minute, and

Question

Part A Calculate the angular velocity (in rad/s) of the second, minute, and hour hands on a wall clock. Part D What is the period of each of these hands? seconds, minute and hours?

Part A Calculate the angular velocity (in rad/s) of the second, minute, and hour hands on a wall clock. Part D What is the period of each of these hands? seconds, minute and hours?

Part A Calculate the angular velocity (in rad/s) of the second, minute, and hour hands on a wall clock. Calculate the angular velocity (in rad/s) of the second, minute, and hour hands on a wall clock. Part D What is the period of each of these hands? seconds, minute and hours?

Part D What is the period of each of these hands? seconds, minute and hours?

Explanation / Answer

eriod is the time it takes to complete one full cycle of motion.
so period of second hand would be 60 seconds (it takes 60 seconds to complete its cycle)
period of minute hand would be 60 minutes = 3600 seconds
period of hour hand would be 12 hours = 43200 seconds

angular velocity would be 1 round per the period
1 round is 360 degrees or 2? (pi) in radians
so:
angular velocity for second hand w=2?/60s = ~0.10472 rad/s *
for minute hand --> w=2?/3600s = ~0.00174 rad/s *
for hour hand --> w=2?/43200s = ~0.00014 rad/s *

* ?=3.141592654

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