A clock has 75 cm, 60 cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly (Take π = 3.14) :
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Question

A clock has 75 cm, 60 cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly (Take π = 3.14) :

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G1 Physics · Accepted Answer

Minute hand completes half a revolution in 30 minutes. Distance travelled by its tip: s(minute) = πr(minute) = π × 0.60 Second hand completes 30 revolutions in 30 minutes. Distance travelled by its tip: s(second) = 30 × 2π × 0.75 Difference: x = s(second) - s(minute) = 30 × 2π × 0.75 - π × 0.60 Using π = 3.14: x ≈ 139.4 m