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Periodic Time for One Beat of SHM Calculator

Formula

The formula to calculate the Periodic Time for One Beat of SHM is:

$t_p = \pi \sqrt{\frac{L_{\text{string}}}{g}}$

Definition

The Periodic Time for One Beat of SHM is the time required for one complete cycle of simple harmonic motion. It is calculated based on the length of the string and the acceleration due to gravity.

Example Calculation

Let's assume the following values:

Length of String = 0.049 meters
Acceleration due to Gravity = 9.8 m/s²

Using the formula:

$t_p = \pi \sqrt{\frac{0.049}{9.8}} \approx 0.222144146907918 \, \text{seconds}$

The Periodic Time for One Beat of SHM is approximately 0.222144146907918 seconds.

Conversion Chart

Length of String (meters)	Periodic Time (seconds)
0.04	0.200708992315449
0.042	0.205665516254177
0.044	0.210505367047758
0.046	0.215236415449908
0.048	0.219865685170605
0.05	0.224399475256414
0.052	0.228843460634487
0.054	0.233202775401542
0.056	0.237482082344745
0.058	0.241685631378058