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MrRa [10]
3 years ago
7

The length (L) of a simple pendulum is directly proportional to the square of the time period (T). Which type of graph can best

describe this relationship?
Physics
2 answers:
iris [78.8K]3 years ago
8 0
L=T^2 so that would be a parabola
forsale [732]3 years ago
6 0

Answer:

L=T^2 so its parabola

Explanation:

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Answer:

L=6.21m

Explanation:

For the simple pendulum problem we need to remember that:

\frac{d^{2}\theta}{dt^{2}}+\frac{g}{L}sin(\theta)=0,

where \theta is the angular position, t is time, g is the gravity, and L is the length of the pendulum. We also need to remember that there is a relationship between the angular frequency and the length of the pendulum:

\omega^{2}=\frac{g}{L},

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There is also an equation that relates the oscillation period and the angular frequeny:

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(\frac{2\pi}{T})^{2}=\frac{g}{L}\\\\L=g(\frac{T}{2\pi})^{2}\\\\L=9.8(\frac{5}{2\pi})^{2}\\\\L=6.21m

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