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) .

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

a_(rad) = Angle of Swing in radians

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.

Answer

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.

Answer

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

1.321 = .30 * SQRT ( 5 * 9.81 ) * Sin ( SQRT ( 9.81 / 5 ) * t )

t = 4s.