Enter the angle, length, and time into the calculator to determine the pendulum velocity.

Pendulum Velocity Formula

The following equation is used to calculate the Pendulum Velocity.

V = a * SQRT( L*g) *sin (sqrt ( g/L) * t)

  • Where V is the pendulum velocity (m/s)
  • L is the length of the pendulum (m)
  • a is the angle of swing
  • t is the time (s)

What is a Pendulum Velocity?


Pendulum velocity describes the instantaneous tangential velocity of a pendulum at any given angle.

How to Calculate Pendulum Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate Pendulum Velocity.

First, determine the length of the pendulum. In this example, the length of the pendulum is found to be 4m.

Next, determine the angle of the swing. For this problem, the angle of swing is found to be .35 radians.

Next, determine the time. In this case, the time is measured to be 3s.

Finally, calculate the Pendulum Velocity using the formula above:

V = a * SQRT( L*g) *sin (sqrt ( g/L) * t)

V = .35 * sqrt( 4*9.81) *sin (sqrt ( 9.81/4) * 3)

V = 2.19 m/s