Question

An analog clock typically has three ‘hands’, that track seconds, minutes, and hours, respectively. Find the...

An analog clock typically has three ‘hands’, that track seconds, minutes, and hours, respectively. Find the angular velocity w of each hand in units of radians per second.

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Homework Answers

Answer #1

Time period of full rotation of second hand = Ts = 60 sec

Time period of full rotation of minute hand = Tm = 60 minutes = 3600 sec

Time period of full rotation of hour hand = Th = 12 hours = 43200 sec

Angular velocity of second hand = s

Angular velocity of minute hand = m

Angular velocity of hour hand = h

= 2/T

s = 2/Ts

s = 2/60

s = 0.1047 rad/s

m = 2/Tm

m = 2/3600

m = 1.745 x 10-3 rad/s

h = 2/Th

h = 2/43200

h = 1.454 x 10-4 rad/s

Angular speed of second hand = 0.1047 rad/s

Angular speed of minute hand = 1.745 x 10-3 rad/s

Angular speed of hour hand = 1.454 x 10-4 rad/s

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