the minute hand of a clock is 7 cm long. find the displacement & distance covered by it from 9:00 a.m. to 9:30 a.m
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210cm this question ka ans Golu Kumar
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Length of the minute hand = 20 cm = 0.2 m
Let the positions be like :
From 9 :00 am to 9:30 am , the minute hand of the clock moves from position A to position C along the position C along the path ABC .
So ,
a) The distance ABC covered by minute hand =
Length of circular arc ABC =
πl = (22/7) × 0.2 m = 0.63 m
The required distance = 0.63 m
b) The displacement of the minute hand =
length of the chord AOC =
2l = 2 × 0.2 = 0.4 m
The required displacement = 0.4 m
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