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Pendulum
Pendulum
Period of a simple pendulum
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Length (L) (m)
Gravity (g) (m/s²)
Amplitude (θ₀) (°)
T = 2π·√(L/g)
Period (T)
2.0413
s
Small-angle period
2.0064
s
Frequency
0.4899
Hz
Angular frequency
3.078
rad/s
Amplitude factor
1.01741×
T includes the large-amplitude correction T = T₀ / AGM(1, cos(θ₀/2)).
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Pendulum
Diagram of a pendulum at amplitude 30° with length 1 m, period 2.0413 s.
30°
pivot
T = 2.0413 s