SOLUTION: A clock has a pendulum 22 cm long. If it swings through an angle of 32 degrees, how far does the bottom of the bob travel in one swing?

Algebra ->  Length-and-distance -> SOLUTION: A clock has a pendulum 22 cm long. If it swings through an angle of 32 degrees, how far does the bottom of the bob travel in one swing?       Log On


   

Question 1151597: A clock has a pendulum 22 cm long. If it swings through an angle of 32 degrees, how far does the bottom of the bob travel in one swing?
Found 2 solutions by zarabella, Alan3354:
Answer by zarabella(1) About Me  (Show Source):
You can put this solution on YOUR website!
You need to find the length of the arc
L= arc ength
L=(q/180) * (pi) * (r) where q=32ยบ , pi=3.14159, and r=22 cm
L=(32/180)(pi)(22)
L=(8/45)(pi)(22)
L=(176/45)(pi) cm, or
L=(176/45)(3.14159)
L=552.91984/45
L=12.287 cm

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A clock has a pendulum 22 cm long. If it swings through an angle of 32 degrees, how far does the bottom of the bob travel in one swing?
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Find the circumference of a circle with a radius of 22 cm.
Multiply that by 32/360
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PS Pendulum clocks seldom, if ever, have a swing of 10 degrees or more off center.