National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 50+ more calculators!

## < 11 Other formulas that you can solve using the same Inputs

Impulsive Force
Impulsive Force=(Mass*(Final Velocity-Initial Velocity))/Time Taken to Travel GO
Specific Heat Capacity
Specific Heat Capacity=Energy Required/(Mass*Rise in Temperature) GO
Centripetal Force or Centrifugal Force when angular velocity, mass and radius of curvature are given
Centripetal Force=Mass*(Angular velocity^2)*Radius of Curvature GO
Potential Energy
Potential Energy=Mass*Acceleration Due To Gravity*Height GO
Moment of Inertia of a rod about an axis through its center of mass and perpendicular to rod
Moment of Inertia=(Mass*(Length of rod^2))/12 GO
Centripetal Force
Moment of inertia of a circular disc about an axis through its center and perpendicular to its plane
Moment of inertia of a circular ring about an axis through its center and perpendicular to its plane
Kinetic Energy
Kinetic Energy=(Mass*Velocity^2)/2 GO
Force
Force=Mass*Acceleration GO
Density
Density=Mass/Volume GO

### Damping ratio / Damping factor Formula

Damping ratio=Damping coefficient/(2*sqrt(Mass*Spring constant))
More formulas
Transfer Function for Open Loop System GO
Delay time GO
Damped natural frequency GO
Peak time GO
Setting time when tolerance is 5% GO
Setting time when tolerance is 2% GO
Rise time GO
Maximum Overshoot GO
Time period of oscillations GO
Number of oscillations GO
Rise time when delay time is given GO
Resonant peak GO
Resonant frequency GO
Bandwidth frequency GO

## How is damping ratio used?

To characterize the amount of damping in a system a ratio called the damping ratio (also known as damping factor and % critical damping) is used. This damping ratio is just a ratio of the actual damping over the amount of damping required to reach critical damping. The formula for the damping ratio is used for the mass-spring-damper model.

## How is damping factor obtained?

The damping ratio provides a mathematical means of expressing the level of damping in a system relative to critical damping. For a damped harmonic oscillator with mass m, damping coefficient c, and spring constant k, it can be defined as the ratio of the damping coefficient in the system's differential equation to the critical damping coefficient. The damping ratio is dimensionless, being the ratio of two coefficients of identical units.

## How to Calculate Damping ratio / Damping factor?

Damping ratio / Damping factor calculator uses Damping ratio=Damping coefficient/(2*sqrt(Mass*Spring constant)) to calculate the Damping ratio, Damping ratio / Damping factor is a parameter, usually denoted by ζ (zeta) that characterizes the frequency response of a second-order ordinary differential equation. It is particularly important in the study of control theory. It is also important in the harmonic oscillator. Damping ratio and is denoted by ζ symbol.

How to calculate Damping ratio / Damping factor using this online calculator? To use this online calculator for Damping ratio / Damping factor, enter Mass (m), Spring constant (k) and Damping coefficient (c) and hit the calculate button. Here is how the Damping ratio / Damping factor calculation can be explained with given input values -> 0.593809 = 50/(2*sqrt(35.45*50)).

### FAQ

What is Damping ratio / Damping factor?
Damping ratio / Damping factor is a parameter, usually denoted by ζ (zeta) that characterizes the frequency response of a second-order ordinary differential equation. It is particularly important in the study of control theory. It is also important in the harmonic oscillator and is represented as ζ=c/(2*sqrt(m*k)) or Damping ratio=Damping coefficient/(2*sqrt(Mass*Spring constant)). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Spring constant is the displacement of the spring from its equilibrium position and Damping coefficient is a material property that indicates whether a material will bounce back or return energy to a system.
How to calculate Damping ratio / Damping factor?
Damping ratio / Damping factor is a parameter, usually denoted by ζ (zeta) that characterizes the frequency response of a second-order ordinary differential equation. It is particularly important in the study of control theory. It is also important in the harmonic oscillator is calculated using Damping ratio=Damping coefficient/(2*sqrt(Mass*Spring constant)). To calculate Damping ratio / Damping factor, you need Mass (m), Spring constant (k) and Damping coefficient (c). With our tool, you need to enter the respective value for Mass, Spring constant and Damping coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know