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Angular Displacement

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Question

Calculate the ratio of angular speed of rotation of earth and hour hand of 12hour clock

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Solution

$D e a r s t u d e n t, E a r t h' s R o t a t i o n = 1 r e v / d a y . E a r t h' s R o t a t i o n = 2 π / 24 h o u r s E a r t h' s R o t a t i o n = 2 π / 86, 400 E a r t h' s R o t a t i o n = 7.27 \times 10^{- 5} s e c^{- 1} H o u r h a n d = 2 p i / 12 h o u r s = 2 p i / 43, 200 = 1.45 \times 10^{- 4} s e c^{- 1} H o u r h a n d = 1 r e v o l u t i o n / 12 h o u r s = 2 r e v o l u t i o n s / d a y . T h e a n g u l a r v e l o c i t y o f t h e h o u r h a n d i s d o u b l e t h a t o f t h e e a r t h . R e g a r d s$

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