## < ⎙ 11 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
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 Formula

Delay time=(1+(0.7*Damping ratio))/Natural frequency
More formulas
Transfer Function for Open Loop System GO
Damped natural frequency GO
Damping ratio / Damping factor 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

## What is delay time?

It is the time required for the response to reach half of its final value from the zero instant. It is denoted by td. Consider the step response of the second order system for t ≥ 0, when ‘δ’ lies between zero and one. The final value of the step response is one.

## How to Calculate Delay time?

Delay time calculator uses Delay time=(1+(0.7*Damping ratio))/Natural frequency to calculate the Delay time, Delay time is the time required to reach at 50% of its final value by a time response signal during its first cycle of oscillation. . Delay time and is denoted by td symbol.

How to calculate Delay time using this online calculator? To use this online calculator for Delay time, enter Damping ratio (ζ) and Natural frequency n) and hit the calculate button. Here is how the Delay time calculation can be explained with given input values -> 0.107 = (1+(0.7*0.1))/10.

### FAQ

What is Delay time?
Delay time is the time required to reach at 50% of its final value by a time response signal during its first cycle of oscillation. and is represented as td=(1+(0.7*ζ))/ωn or Delay time=(1+(0.7*Damping ratio))/Natural frequency. Damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance and Natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force.
How to calculate Delay time?
Delay time is the time required to reach at 50% of its final value by a time response signal during its first cycle of oscillation. is calculated using Delay time=(1+(0.7*Damping ratio))/Natural frequency. To calculate Delay time, you need Damping ratio (ζ) and Natural frequency n). With our tool, you need to enter the respective value for Damping ratio and Natural frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know