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

Time response in critically damped case
Time response in critically damped case=1-e^(-(Natural frequency*Time period of oscillations))*(1+(Natural frequency*Time period of oscillations)) GO
Bandwidth frequency
Bandwidth frequency=Natural frequency*sqrt(1-2*(Damping ratio)^2+sqrt(4*(Damping ratio)^4-4*(Damping ratio)^2+2)) GO
Maximum Overshoot
Maximum overshoot=2.71^(-(Damping ratio*Damped natural frequency)/(sqrt(1-(Damping ratio)^2))) GO
Time response in undamped case
Time response in undamped case=1-cos(Natural frequency*Time period of oscillations) GO
Time constant
Time constant=1/((Damping ratio-sqrt((Damping ratio)^2-1))*Natural frequency) GO
Damped natural frequency
Damped natural frequency=Natural frequency*sqrt(1-(Damping ratio)^2) GO
Resonant frequency
Resonant frequency=Natural frequency*sqrt(1-2*(Damping ratio)^2) GO
Resonant peak
Resonant peak=1/((2*Damping ratio)*sqrt(1-(Damping ratio)^2)) GO
Setting time when tolerance is 5%
Setting time=3/(Damping ratio*Damped natural frequency) GO
Setting time when tolerance is 2%
Setting time=4/(Damping ratio*Damped natural frequency) GO
Delay time
Delay time=(1+(0.7*Damping ratio))/Natural frequency GO

### Time response in overdamped case Formula

Time response in overdamped case=1-(e^(-(Damping ratio-sqrt((Damping ratio^2)-1))*(Natural frequency*Time period of oscillations))/(2*sqrt((Damping ratio^2)-1)*(Damping ratio-sqrt((Damping ratio^2)-1))))
More formulas
Time response in undamped case GO
Time response in critically damped case GO
Time constant GO
Number of Asymptotes GO
Angle of asymptotes GO

## What is the time response in overdamped case?

The time response in overdamped system is the response that does not oscillate about the steady-state value but takes longer to reach steady-state than the critically damped case. For the value of ζ comparatively much greater than one, the effect of faster time constant on the time response can be neglected.

## How to Calculate Time response in overdamped case?

Time response in overdamped case calculator uses Time response in overdamped case=1-(e^(-(Damping ratio-sqrt((Damping ratio^2)-1))*(Natural frequency*Time period of oscillations))/(2*sqrt((Damping ratio^2)-1)*(Damping ratio-sqrt((Damping ratio^2)-1)))) to calculate the Time response in overdamped case, Time response in overdamped case occurs when the damping factor/damping ratio is more than 1 during the process of damping. Time response in overdamped case and is denoted by C(t) symbol.

How to calculate Time response in overdamped case using this online calculator? To use this online calculator for Time response in overdamped case, enter Damping ratio (ζ), Natural frequency n) and Time period of oscillations (T) and hit the calculate button. Here is how the Time response in overdamped case calculation can be explained with given input values -> NaN = 1-(e^(-(0.1-sqrt((0.1^2)-1))*(10*60))/(2*sqrt((0.1^2)-1)*(0.1-sqrt((0.1^2)-1)))).

### FAQ

What is Time response in overdamped case?
Time response in overdamped case occurs when the damping factor/damping ratio is more than 1 during the process of damping and is represented as C(t)=1-(e^(-(ζ-sqrt((ζ^2)-1))*(ωn*T))/(2*sqrt((ζ^2)-1)*(ζ-sqrt((ζ^2)-1)))) or Time response in overdamped case=1-(e^(-(Damping ratio-sqrt((Damping ratio^2)-1))*(Natural frequency*Time period of oscillations))/(2*sqrt((Damping ratio^2)-1)*(Damping ratio-sqrt((Damping ratio^2)-1)))). Damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance, Natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force and The time period of oscillations is the time taken by a complete cycle of the wave to pass a point.
How to calculate Time response in overdamped case?
Time response in overdamped case occurs when the damping factor/damping ratio is more than 1 during the process of damping is calculated using Time response in overdamped case=1-(e^(-(Damping ratio-sqrt((Damping ratio^2)-1))*(Natural frequency*Time period of oscillations))/(2*sqrt((Damping ratio^2)-1)*(Damping ratio-sqrt((Damping ratio^2)-1)))). To calculate Time response in overdamped case, you need Damping ratio (ζ), Natural frequency n) and Time period of oscillations (T). With our tool, you need to enter the respective value for Damping ratio, Natural frequency and Time period of oscillations and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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