Peak time Calculator

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✖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.ⓘ Damped natural frequency [ω_d]

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✖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 [t_p]

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Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 100+ more calculators!

< 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 t_p symbol.

How to calculate Peak time using this online calculator? To use this online calculator for Peak time, enter Damped natural frequency (ω_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 t_p=3.14/ω_d 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 (ω_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.

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