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A pendulum takes 60 seconds to swing through 2 complete cycles. A. How long does it take to complete one cycle? B. What is its period? C. What is its frequency?
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31 votes
31 votes
A pendulum takes 60 seconds to swing through 2 complete cycles.

A. How long does it take to complete one cycle?
B. What is its period?
C. What is its frequency?

User Bjoseph
by
2.8k points

2 Answers

8 votes
8 votes
A : 30 seconds
B: T = 2π Square root of√L/g,
C: how many back-and-forth swings there are in a second, measured in hertz. f = [√(4.9)]/6.28 = 2.21/6.28 = 0.353 Hz.
User Pav Ametvic
by
3.3k points
22 votes
22 votes
A. If nobody is messing with the pendulum, it's doing one complete cycle every 30 seconds.

B. That's exactly what "period" means, so A. and B. are the same number ... 30 seconds.

C. Frequency = 1/period.
1/30s = 0.0333.../s.
That's 0.0333... Hz.

User Ivan Doroshenko
by
2.9k points
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