Asked by Jessica
The length of a simple pendulum is 0.58 m, the pendulum bob has a mass of 285 g, and it is released at an angle of 16 degrees to the vertical.
With what frequency does it oscillate?
With what frequency does it oscillate?
Answers
Answered by
MathMate
The period of a simple pendulum of length L with small amplitudes is
T=2π√(L/g)
Frequency is the reciprocal of period, T.
For small amplitudes, it is (approximately) not dependent on the mass nor the amplitude (angle).
For higher amplitudes, or greater accuracy, the following series expansion can be used:
T=2π√(L/g)*(1+θ²/16+11θ^4/3072+...)
which turns out to be:
1.5353 s. instead of 1.5278 s. using the simple formula.
T=2π√(L/g)
Frequency is the reciprocal of period, T.
For small amplitudes, it is (approximately) not dependent on the mass nor the amplitude (angle).
For higher amplitudes, or greater accuracy, the following series expansion can be used:
T=2π√(L/g)*(1+θ²/16+11θ^4/3072+...)
which turns out to be:
1.5353 s. instead of 1.5278 s. using the simple formula.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.