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Simple Pendulum Period Calculator

Find the period and frequency of a simple pendulum from its length.

Inputs

Results

Period2.006409s
Frequency0.4984028Hz

Chart

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How to use the simple pendulum period calculator

Find the period and frequency of a simple pendulum from its length. Enter length, gravity in the fields above; the period, frequency are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Period (s) = 2 × π × √(L / gr)
Frequency (Hz) = 1 / [Period]

Variables

  • L — Length (m)
  • gr — Gravity (m/s²)

Worked example

With length = 1 m, gravity = 9.80665 m/s², the calculator gives period ≈ 2.006409 s; frequency ≈ 0.4984028 Hz.

Frequently asked questions

What is the formula for the simple pendulum period calculation?

Period (s) = 2 × π × √(L / gr). Frequency (Hz) = 1 / [Period]. Here L is length (m), gr is gravity (m/s²).

What inputs do I need for the simple pendulum period calculator?

You need length in m, gravity in m/s². Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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