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Calcimator

Pendulum Calculator

Calculate the period and frequency of a simple pendulum from its length and local gravitational acceleration using T = 2π√(L/g).

Inputs

ft
m/s²

Results

Period

2.01 s

Frequency

0.5 Hz

Angular Frequency3.13 rad/s
How to Use This Calculator
  1. Enter Pendulum Length and Gravitational Acceleration.
  2. Review Period (s) and Frequency (Hz).
  3. Use Angular Frequency (rad/s) to inform your decision.
  4. Use the chart to visualize the results and explore different scenarios by adjusting inputs.

How the result changes with Gravitational Acceleration

Gravitational AccelerationPeriodFrequency
101.99 s0.5 Hz
351.06 s0.94 Hz
650.78 s1.28 Hz
900.66 s1.51 Hz

What each input means

Pendulum Length
Length of the pendulum from the pivot to the center of mass.
Gravitational Acceleration
Local gravitational acceleration. Earth surface ≈ 9.81 m/s², Moon ≈ 1.62 m/s².

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Pendulum Length = 1, Gravitational Acceleration = 9.81 = 2 input(s) provided
  2. Calculate Period
    Period = 2
    2.0061 = 2.0061
  3. Calculate Frequency
    Frequency
    0.4985 = 0.4985
  4. Calculate Angular Frequency
    Angular Frequency
    3.132 = 3.132

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