 Top

Simple Pendulum Calculator
Top
Simple Pendulum Calculator is an online tool for calculating Simple Pendulum easily. It takes the inputs and calculates the Simple Pendulum, so it is handy for solving problems requiring Simple Pendulum Calculations.

## Step by Step Calculation

Step 1 :

The simple Pendulum is a mass (or bob) on the end of a massless string, which, when initially displaced, will swing back and forth under the influence of gravity over its central (lowest) point.

Formula:

Period :

T = 2∏ √(L / g ) .

Length :

L = T2g / 4∏2 .

Acceleration of gravity :

g = 4∏2L / T2

Step 2 :

State the equation you plan to use and plug in the values.

## Example Problems

1. ### At the Newyork Academy of Sciences the length of the pendulum is 90m ,The acceleration of gravity at this location is:9.8 m/s/s.Calculate the period ?

Step 1 :

The given:

Length (L) = 90 m.

Acceleration of gravity (g) = 9.8 m/s2

Period (T) = ? s

Step 2 :

Plug the values in the formula.

Period :

T = 2∏ √(L / g ) . where ∏ = 3.142

T = 2∏ √(90 m / 9.8 m/s2 )

T = 2∏ √(9.18 s2)

T = 2∏ (3.03 s).

T = 2 * 3.142* 3.03 s.

T = 19.041 s

2. ### A simple pendulum has a period of 2.400 seconds where "g" = 9.810 m/s/s.Find the length?

Step 1 :

The given:

Length (L) = ? m.

Acceleration of gravity (g) = 9.810 m/s2

Period (T) = 2.400 s

Step 2 :

Plug the values in the formula.

Length :

L = T2g / 4∏2 . where ∏ = 3.142

L = (2.400)2 * 9.810 / 4* (3.142)2.