 National Institute of Information Technology (NIIT), Neemrana
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## < 6 Other formulas that you can solve using the same Inputs

Maximum Overshoot
Maximum overshoot=2.71^(-(Damping ratio*Damped natural frequency)/(sqrt(1-(Damping ratio)^2))) GO
Number of oscillations
Number of oscillations=(Setting time*Damped natural frequency)/(2*3.14) GO
Time period of oscillations
Time period of oscillations=(2*3.14)/Damped natural frequency 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
Rise time
Rise time=(3.14-Theta)/Damped natural frequency GO

### Peak time Formula

Peak time=3.14/Damped natural frequency
More formulas
Transfer Function for Open Loop System GO
Delay time GO
Damped natural frequency GO
Damping ratio / Damping factor 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 peak time?

It is the time required for the response to reach the peak value for the first time. It is denoted by tp. At t=tp, the first derivate of the response is zero. The expression for peak time is: tp=π/ωd From the above equation, we can conclude that the peak time tp and the damped frequency ωd are inversely proportional to each other.

## How to Calculate Peak time?

Peak time calculator uses Peak time=3.14/Damped natural frequency to calculate the Peak time, Peak time is simply the time required by response to reach its first peak i.e. the peak of first cycle of oscillation, or first overshoot. Peak time and is denoted by tp symbol.

How to calculate Peak time using this online calculator? To use this online calculator for Peak time, enter Damped natural frequency d) and hit the calculate button. Here is how the Peak time calculation can be explained with given input values -> 0.261667 = 3.14/12.

### FAQ

What is Peak time?
Peak time is simply the time required by response to reach its first peak i.e. the peak of first cycle of oscillation, or first overshoot and is represented as tp=3.14/ωd or Peak time=3.14/Damped natural frequency. Damped natural frequency is a particular frequency at which if a resonant mechanical structure is set in motion and left to its own devices, it will continue to oscillate at a particular frequency.
How to calculate Peak time?
Peak time is simply the time required by response to reach its first peak i.e. the peak of first cycle of oscillation, or first overshoot is calculated using Peak time=3.14/Damped natural frequency. To calculate Peak time, you need Damped natural frequency d). With our tool, you need to enter the respective value for Damped 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