SOLUTION: A 1 metre pendulum swings through an angle of 8 degrees. How much lateral space (side to side space) does it need to swing?
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Question 1079989: A 1 metre pendulum swings through an angle of 8 degrees. How much lateral space (side to side space) does it need to swing?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52925) (Show Source): You can put this solution on YOUR website!
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It needs 1 meter * sin(8°) lateral space in each direction.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A 1 metre pendulum swings through an angle of 8 degrees. How much lateral space (side to side space) does it need to swing?
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It swings 4 degs to each side.
--> 2sin(4) meters
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The other tutor's answer was close.
2sin(4)/sin(8) =~ 0.99756
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Pendulums used for timing, as in clocks, usually limit the swing to 8 degs.
The characteristics are not clearly defined for larger angles.
For angles <= 8 degs, the sine is "nearly the same" as the tangent.
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