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# Simple Pendulum Calculator

To use simple pendulum calculator, select the term you want to calculate, fill the required input fields, and click the calculate button

Table of Contents:

## Formula

Period:

**T = 2∏ √(L/g)**

Length:

**L = T ^{2}g/4 ∏^{2}**

Acceleration of Gravity:

**g = 4 ∏ ^{2}L/ T^{2}**

**Where,**

T = Period,

L = Length,

g = Acceleration of Gravity.

A simple pendulum consists of a mass m hanging from a string of length L and fixed at a pivot point P. The simple gravity pendulum is an idealized mathematical model of a pendulum. The Simple Pendulum consists of a weight (or bob) on the end of a mass less cord suspended from a pivot, without friction. When given an initial push, it will swing back and forth at a constantamplitude. In short, a simple pendulum is a hypothetical pendulum suspended by a weightless frictionless thread of constant length.

Simple Pendulum is a device consisting of a small, massive body suspended by an inextensible object of negligible mass from a fixed horizontal axis about which the body and suspension are free to rotate.

The online Simple Pendulum Calculation tool is used to calculate the Length, Acceleration of Gravity and Period of a Simple Pendulum Motion. A simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement.

**Example:**

Calculate the time Period taken for the motion simple pendulum by the given details.

Length (L) = 25 m

Acceleration of Gravity (g) = 30 m/s^{2}

**Solution:**

**Apply Formula:**

T = 2∏ √(L/g)

T = 2*3.14 √(25/30)

T = 6.28 *√ 0.833

T = 6.28 *0.9128

T = 5.73 s

**Period (T) = 5.73 s**