# Pendulum Velocity Calculator, Formula, Calculation

## Pendulum Velocity Calculator:

Enter the values of Angle of Swing a(rad) , Length of the pendulum L(m) , Gravity g(m/s2) & Time t(s) to determine the value of Pendulum Velocity V(m/s) .

 Enter Angle of Swing: rad Enter Length of the pendulum: m Enter Gravity: m/s2 Enter Gravity: m/s2 Enter Length of the pendulum: m Enter Time: s Result – Pendulum Velocity: m/s

## Pendulum Velocity Formula:

The Pendulum Velocity V(m/s) in meter per second is equal to the Angle of Swing a(rad) in radians and multiply the SQRT of the Length of the pendulum L(m) meter to multiply the gravity g(m/s2) in meter per second square and again multiply the Sin of SQRT of gravity g(m/s2) in meter per second square to divided by the Length of the pendulum L(m) meter into multiply the Time t(s) in second.

The Equation of Pendulum Velocity can be writtern as,

V(m/s) = a(rad) * SQRT ( L(m) * g(m/s2) ) * Sin ( SQRT ( g(m/s2) / L(m) ) * t(s) )

Here,

V(m/s) = Pendulum Velocity in meter per second

L(m) = Length of the pendulum in meter

g(m/s2) = gravity in meter per second square

t(s) = Time in second

### Example Problems for Pendulum Velocity:

1)Calculate the Pendulum Velocity and given for Angle of Swing = .30rad , Length of the pendulum = 5m , gravity = 9.81m/s2 , Time = 4s.

V = a * SQRT ( L * g ) * Sin ( SQRT ( g / L ) * t )

V = .30 * SQRT ( 5 * 9.81 ) * Sin ( SQRT ( 9.81 / 5 ) * 4 )

V = 1.321m/s.

2)Calculate the Time and given for Angle of Swing = .30rad , Length of the pendulum = 5m , gravity = 9.81m/s2 , Pendulum Velocity = 1.321m/s.