Rise Time given Delay Time Calculator

↳

Electronics

Chemical Engineering

Civil

Electrical

Electronics and Instrumentation

Materials Science

Mechanical

Production Engineering

⤿

Second Order System

Fundamental Parameters

✖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 [t_d]

+10%

-10%

✖Rise Time is the time required to reach at final value by a under damped time response signal during its first cycle of oscillation.ⓘ Rise Time given Delay Time [t_r]

⎘ Copy

👎

Formula

✖

Rise Time given Delay Time

Formula

`"t"_{"r"} = 1.5*"t"_{"d"}`

Example

`"0.06s"=1.5*"0.04s"`

Calculator

LaTeX

Reset

👍

Download Electronics Formula PDF

Rise Time given Delay Time Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rise Time = 1.5*Delay Time
t_r = 1.5*t_d
This formula uses 2 Variables

Variables Used

Rise Time - (Measured in Second) - Rise Time is the time required to reach at final value by a under damped time response signal during its first cycle of oscillation.
Delay Time - (Measured in Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Delay Time: 0.04 Second --> 0.04 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_r = 1.5*t_d --> 1.5*0.04

Evaluating ... ...

t_r = 0.06

STEP 3: Convert Result to Output's Unit

0.06 Second --> No Conversion Required

FINAL ANSWER

0.06 Second <-- Rise Time

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Control System » Second Order System » Rise Time given Delay Time

Credits

Created by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has created this Calculator and 500+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 17 Second Order System Calculators

Time Response in Overdamped Case

Go Time Response for Second Order System = 1-(e^(-(Overdamping Ratio-(sqrt((Overdamping Ratio^2)-1)))*(Natural Frequency of Oscillation*Time Period for Oscillations))/(2*sqrt((Overdamping Ratio^2)-1)*(Overdamping Ratio-sqrt((Overdamping Ratio^2)-1))))

Time Response of Critically Damped System

Go Time Response for Second Order System = 1-e^(-Natural Frequency of Oscillation*Time Period for Oscillations)-(e^(-Natural Frequency of Oscillation*Time Period for Oscillations)*Natural Frequency of Oscillation*Time Period for Oscillations)

Bandwidth Frequency given Damping Ratio

Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

Rise Time given Damping Ratio

Go Rise Time = (pi-(Phase Shift*pi/180))/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))

Time Response in Undamped Case

Go Time Response for Second Order System = 1-cos(Natural Frequency of Oscillation*Time Period for Oscillations)

Peak Time given Damping Ratio

Go Peak Time = pi/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))

First Peak Undershoot

Go Peak Undershoot = e^(-(2*Damping Ratio*pi)/(sqrt(1-Damping Ratio^2)))

First Peak Overshoot

Go Peak Overshoot = e^(-(pi*Damping Ratio)/(sqrt(1-Damping Ratio^2)))

Number of Oscillations

Go Number of Oscillations = (Setting Time*Damped Natural Frequency)/(2*pi)

Time of Peak Overshoot in Second Order System

Go Time of Peak Overshoot = ((2*Kth Value-1)*pi)/Damped Natural Frequency

Rise Time given Damped Natural Frequency

Go Rise Time = (pi-Phase Shift)/Damped Natural Frequency

Delay Time

Go Delay Time = (1+(0.7*Damping Ratio))/Natural Frequency of Oscillation

Time Period of Oscillations

Go Time Period for Oscillations = (2*pi)/Damped Natural Frequency

Setting Time when Tolerance is 2 Percent

Go Setting Time = 4/(Damping Ratio*Damped Natural Frequency)

Setting Time when Tolerance is 5 Percent

Go Setting Time = 3/(Damping Ratio*Damped Natural Frequency)

Peak Time

Go Peak Time = pi/Damped Natural Frequency

Rise Time given Delay Time

Go Rise Time = 1.5*Delay Time

< 16 Second Order System Calculators

Time Response in Overdamped Case

Time Response of Critically Damped System

Rise Time given Damping Ratio

Go Rise Time = (pi-(Phase Shift*pi/180))/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))

Time Response in Undamped Case

Go Time Response for Second Order System = 1-cos(Natural Frequency of Oscillation*Time Period for Oscillations)

Peak Time given Damping Ratio

Go Peak Time = pi/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))

First Peak Undershoot

Go Peak Undershoot = e^(-(2*Damping Ratio*pi)/(sqrt(1-Damping Ratio^2)))

First Peak Overshoot

Go Peak Overshoot = e^(-(pi*Damping Ratio)/(sqrt(1-Damping Ratio^2)))

Number of Oscillations

Go Number of Oscillations = (Setting Time*Damped Natural Frequency)/(2*pi)

Time of Peak Overshoot in Second Order System

Go Time of Peak Overshoot = ((2*Kth Value-1)*pi)/Damped Natural Frequency

Rise Time given Damped Natural Frequency

Go Rise Time = (pi-Phase Shift)/Damped Natural Frequency

Delay Time

Go Delay Time = (1+(0.7*Damping Ratio))/Natural Frequency of Oscillation

Time Period of Oscillations

Go Time Period for Oscillations = (2*pi)/Damped Natural Frequency

Setting Time when Tolerance is 2 Percent

Go Setting Time = 4/(Damping Ratio*Damped Natural Frequency)

Setting Time when Tolerance is 5 Percent

Go Setting Time = 3/(Damping Ratio*Damped Natural Frequency)

Peak Time

Go Peak Time = pi/Damped Natural Frequency

Rise Time given Delay Time

Go Rise Time = 1.5*Delay Time

< 25 Control System Design Calculators

Time Response in Overdamped Case

Time Response of Critically Damped System

Bandwidth Frequency given Damping Ratio

Go Bandwidth Frequency = Natural Frequency of Oscillation*(sqrt(1-(2*Damping Ratio^2))+sqrt(Damping Ratio^4-(4*Damping Ratio^2)+2))

Rise Time given Damping Ratio

Go Rise Time = (pi-(Phase Shift*pi/180))/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))

Percentage Overshoot

Go Percentage Overshoot = 100*(e^((-Damping Ratio*pi)/(sqrt(1-(Damping Ratio^2)))))

Time Response in Undamped Case

Go Time Response for Second Order System = 1-cos(Natural Frequency of Oscillation*Time Period for Oscillations)

Peak Time given Damping Ratio

Go Peak Time = pi/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))

First Peak Undershoot

Go Peak Undershoot = e^(-(2*Damping Ratio*pi)/(sqrt(1-Damping Ratio^2)))

First Peak Overshoot

Go Peak Overshoot = e^(-(pi*Damping Ratio)/(sqrt(1-Damping Ratio^2)))

Gain-Bandwidth Product

Go Gain-Bandwidth Product = modulus(Amplifier Gain in Mid Band)*Amplifier Bandwidth

Resonant Frequency

Go Resonant Frequency = Natural Frequency of Oscillation*sqrt(1-2*Damping Ratio^2)

Number of Oscillations

Go Number of Oscillations = (Setting Time*Damped Natural Frequency)/(2*pi)

Time of Peak Overshoot in Second Order System

Go Time of Peak Overshoot = ((2*Kth Value-1)*pi)/Damped Natural Frequency

Rise Time given Damped Natural Frequency

Go Rise Time = (pi-Phase Shift)/Damped Natural Frequency

Steady State Error for Type Zero System

Go Steady State Error = Coefficient Value/(1+Position of Error Constant)

Delay Time

Go Delay Time = (1+(0.7*Damping Ratio))/Natural Frequency of Oscillation

Steady State Error for Type 2 System

Go Steady State Error = Coefficient Value/Acceleration Error Constant

Time Period of Oscillations

Go Time Period for Oscillations = (2*pi)/Damped Natural Frequency

Steady State Error for Type 1 System

Go Steady State Error = Coefficient Value/Velocity Error Constant

Setting Time when Tolerance is 2 Percent

Go Setting Time = 4/(Damping Ratio*Damped Natural Frequency)

Setting Time when Tolerance is 5 Percent

Go Setting Time = 3/(Damping Ratio*Damped Natural Frequency)

Number of Asymptotes

Go Number of Asymptotes = Number of Poles-Number of Zeroes

Peak Time

Go Peak Time = pi/Damped Natural Frequency

Q-Factor

Go Q Factor = 1/(2*Damping Ratio)

Rise Time given Delay Time

Go Rise Time = 1.5*Delay Time

Rise Time given Delay Time Formula

Rise Time = 1.5*Delay Time
t_r = 1.5*t_d

What is rise time?

Rise time is the time taken for a signal to cross a specified lower voltage threshold followed by a specified upper voltage threshold. This is an important parameter in both digital and analog systems. In digital systems it describes how long a signal spends in the intermediate state between two valid logic levels. In analog systems it specifies the time taken for the output to rise from one specified level to another when the input is driven by an ideal edge with zero rise time. This indicates how well the system preserves a fast transition in the input signal.

What other ways are there to calculate rise time?

There are many other ways to calculate rise time other than the standard method. We can calculate rise time if delay time is given to us by the expression:
Tr (rise time) = 1.5 times Td( delay time ).

How to Calculate Rise Time given Delay Time?

Rise Time given Delay Time calculator uses Rise Time = 1.5*Delay Time to calculate the Rise Time, Rise Time given Delay Time is the time required for the response to rise from 0% to 100% of its final value. This is applicable for the under-damped systems. Rise Time is denoted by t_r symbol.

How to calculate Rise Time given Delay Time using this online calculator? To use this online calculator for Rise Time given Delay Time, enter Delay Time (t_d) and hit the calculate button. Here is how the Rise Time given Delay Time calculation can be explained with given input values -> 0.06 = 1.5*0.04.

FAQ

What is Rise Time given Delay Time?

Rise Time given Delay Time is the time required for the response to rise from 0% to 100% of its final value. This is applicable for the under-damped systems and is represented as t_r = 1.5*t_d or Rise Time = 1.5*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.

How to calculate Rise Time given Delay Time?

Rise Time given Delay Time is the time required for the response to rise from 0% to 100% of its final value. This is applicable for the under-damped systems is calculated using Rise Time = 1.5*Delay Time. To calculate Rise Time given Delay Time, you need Delay Time (t_d). With our tool, you need to enter the respective value for Delay Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rise Time?

In this formula, Rise Time uses Delay Time. We can use 6 other way(s) to calculate the same, which is/are as follows -

Rise Time = (pi-Phase Shift)/Damped Natural Frequency
Rise Time = (pi-(Phase Shift*pi/180))/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))
Rise Time = (pi-Phase Shift)/Damped Natural Frequency
Rise Time = (pi-(Phase Shift*pi/180))/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))
Rise Time = (pi-Phase Shift)/Damped Natural Frequency
Rise Time = (pi-(Phase Shift*pi/180))/(Natural Frequency of Oscillation*sqrt(1-Damping Ratio^2))

Home

FREE PDFs

🔍 Search