Pendulum Period Table (by Length)
Vary the string length over a range and step to list the simple pendulum period T=2π√(L/g) and frequency in a table. Set length range, step, and gravity.
Input
Vary the string length by range (start and end) and step width to view the simple pendulum period and frequency in a table.
m
m
m
m/s²
Default is standard gravity 9.80665 m/s squared.
Result
Period table by length (4 rows)
| Length | Period | Frequency |
|---|---|---|
| 0.5 m | 1.418746 s | 0.704848 Hz |
| 1 m | 2.006409 s | 0.498403 Hz |
| 1.5 m | 2.457339 s | 0.406944 Hz |
| 2 m | 2.837491 s | 0.352424 Hz |
Period T = 2π√(L/g), frequency f = 1/T. An idealized simple pendulum model using the small-amplitude approximation.
How it works
- The simple pendulum period in the small-amplitude approximation is T = 2π√(L/g), where L is the string length in meters and g is the gravitational acceleration in m/s squared.
- The frequency is f = 1/T in hertz, the reciprocal of the period.
- The table varies the length from the start value to the end value by the step width and lists the period and frequency for each length.
- The standard gravity g = 9.80665 m/s squared is used as the default and can be changed.
- This is an idealized simple pendulum model that ignores string mass, air resistance, and large-amplitude corrections.
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Pendulum Period Table (by Length)