## < ⎙ 7 Other formulas that you can solve using the same Inputs

Time response in overdamped case
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)))) GO
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
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
Delay time
Delay time=(1+(0.7*Damping ratio))/Natural frequency GO

### Time response in undamped case Formula

Time response in undamped case=1-cos(Natural frequency*Time period of oscillations)
More formulas
Time response in critically damped case GO
Time response in overdamped case GO
Time constant GO
Number of Asymptotes GO
Angle of asymptotes GO

## How is time response obtained in undamped case?

If the damping ratio is equal to zero, the response becomes undamped and oscillations continue indefinitely. The response C(t) for the zero damping case may be obtained by substituting the damping factor as zero.

## How to Calculate Time response in undamped case?

Time response in undamped case calculator uses Time response in undamped case=1-cos(Natural frequency*Time period of oscillations) to calculate the Time response in undamped case, Time response in undamped case occurs when the damping factor in the system becomes zero. Time response in undamped case and is denoted by C(t) symbol.

How to calculate Time response in undamped case using this online calculator? To use this online calculator for Time response in undamped case, enter Natural frequency n) and Time period of oscillations (T) and hit the calculate button. Here is how the Time response in undamped case calculation can be explained with given input values -> 1.5 = 1-cos(10*60).

### FAQ

What is Time response in undamped case?
Time response in undamped case occurs when the damping factor in the system becomes zero and is represented as C(t)=1-cos(ωn*T) or Time response in undamped case=1-cos(Natural frequency*Time period of oscillations). 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 undamped case?
Time response in undamped case occurs when the damping factor in the system becomes zero is calculated using Time response in undamped case=1-cos(Natural frequency*Time period of oscillations). To calculate Time response in undamped case, you need Natural frequency n) and Time period of oscillations (T). With our tool, you need to enter the respective value for 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. Let Others Know