Spring Velocity Calculator, Formula, Spring Velocity Calculation

Spring Velocity Calculator:

Enter the values of Spring Constant k_(N/m), Maximum Displacement x_(m) & Mass m_(kg) to determine the value of Spring Velocity Vs_(m/s).

Spring Velocity Formula: 

The Spring Velocity Vs_(m/s) in meter per second is equal to the SQRT of Spring Constant k_(N/m) in Newton per  Meter to multiply the Maximum Displacement x_(m) in meter is divided by the Mass m_(kg) in kilogram.

The Formula of Spring Velocity can be writtern as,

Vs_(m/s) = √ ( k_(N/m) * x²_(m) / m_(kg) )

Here,

Vs_(m/s) = Spring Velocity in meter per second

k_(N/m) = Spring Constant in Newton per Meter

x_(m) = Maximum Displacement in meter

m_(kg) = Mass in kilogram

Example Problems for Spring Velocity:

1)Calculate the Spring Velocity and given for Spring Constant = 6N/m , Maximum Displacement = 4m , Mass = 2kg.

Solution

Vs = √  ( k * x² / m )

Vs = √  ( 6 * 4² / 2 )

Vs = 6.92m/s.

2)Calculate the Mass and given for Spring Constant = 6N/m , Maximum Displacement = 4m , Spring Velocity = 6.92m/s.

Solution

Vs = √  ( k * x² / m )

6.92 = √  ( 6 * 4² / m )

m = 2kg.

Spring Example Max Speed and Acceleration: