Enter the acceleration due to gravity (m/s^2) and the frequency (hz) into the Pendulum Length Calculator. The calculator will evaluate the Pendulum Length. 

Pendulum Length Formula

The following two example problems outline the steps and information needed to calculate the Pendulum Length.

PL = g / (4*pi^2*f^2)

  • Where PL is the Pendulum Length (m)
  • g is the acceleration due to gravity (m/s^2) 
  • f is the frequency (hz) 

How to Calculate Pendulum Length?

The following example problems outline how to calculate Pendulum Length.

Example Problem #1:

  1. First, determine the acceleration due to gravity (m/s^2). 
    • The acceleration due to gravity (m/s^2) is given as: 9.81.
  2. Next, determine the frequency (hz). 
    • The frequency (hz) is provided as: 2.
  3. Finally, calculate the Pendulum Length using the equation above: 

PL = g / (4*pi^2*f^2)

The values provided above are inserted into the equation below and computed.

PL = 9.81 / (4*pi^2*2^2) = .062 (m)

Example Problem #2: 

For this problem, the variables required are provided below:

acceleration due to gravity (m/s^2) = 9.81

frequency (hz) = 3

Test your knowledge using the equation and check your answer with the calculator..

PL = g / (4*pi^2*f^2) = ?