Monday, January 3, 2011

Length of Arc Application

An hour hand on a clock is 15cm in length.
In 7 hours, how far does the hour hand move?
What is the angle the hand has moved in &theta and in degrees?

Solved:
12 hours on a clock (full circle, 2Π)
7 hours pass =>
(7/12)(2Π) = 7Π/6θ or 210°

Distance:
s=rθ
s=(15cm)(7Π/6θ) => 54.98cm

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