Frequency of Undamped Vibration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring)
f = 1/(2*pi)*sqrt(k/m)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Mass Suspended from Spring - (Measured in Kilogram) - A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.
STEP 1: Convert Input(s) to Base Unit
Stiffness of Spring: 60 Newton per Meter --> 60 Newton per Meter No Conversion Required
Mass Suspended from Spring: 1.25 Kilogram --> 1.25 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = 1/(2*pi)*sqrt(k/m) --> 1/(2*pi)*sqrt(60/1.25)
Evaluating ... ...
f = 1.10265779084358
STEP 3: Convert Result to Output's Unit
1.10265779084358 Hertz --> No Conversion Required
FINAL ANSWER
1.10265779084358 1.102658 Hertz <-- Frequency
(Calculation completed in 00.020 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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10+ Under Damping Calculators

Periodic Time of Vibration
Go Time Period = (2*pi)/(sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2))
Frequency of Damped Vibration
Go Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2)
Circular Damped Frequency
Go Circular Damped Frequency = sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2)
Periodic Time of Vibration using Natural Frequency
Go Time Period = (2*pi)/(sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2))
Frequency of Damped Vibration using Natural Frequency
Go Frequency = 1/(2*pi)*sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2)
Displacement of Mass from Mean Position
Go Total Displacement = Amplitude of Vibration*cos(Circular Damped Frequency*Time Period)
Frequency of Undamped Vibration
Go Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring)
Frequency Constant for Damped Vibrations given Circular Frequency
Go Frequency Constant for Calculation = sqrt(Natural Circular Frequency^2-Circular Damped Frequency^2)
Circular Damped Frequency given Natural Frequency
Go Circular Damped Frequency = sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2)
Frequency Constant for Damped Vibrations
Go Frequency Constant for Calculation = Damping Coefficient/Mass Suspended from Spring

Frequency of Undamped Vibration Formula

Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring)
f = 1/(2*pi)*sqrt(k/m)

Why damping happens during vibration?

The mechanical system vibrates at one or more of its natural frequencies and damps down to motionlessness. Damped vibration happens when the energy of a vibrating system is gradually dissipated by friction and other resistances, the vibrations are said to be damped.

How to Calculate Frequency of Undamped Vibration?

Frequency of Undamped Vibration calculator uses Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring) to calculate the Frequency, The Frequency of undamped vibration is defined as the frequencies of the normal modes of undamped vibration. Frequency is denoted by f symbol.

How to calculate Frequency of Undamped Vibration using this online calculator? To use this online calculator for Frequency of Undamped Vibration, enter Stiffness of Spring (k) & Mass Suspended from Spring (m) and hit the calculate button. Here is how the Frequency of Undamped Vibration calculation can be explained with given input values -> 1.102658 = 1/(2*pi)*sqrt(60/1.25).

FAQ

What is Frequency of Undamped Vibration?
The Frequency of undamped vibration is defined as the frequencies of the normal modes of undamped vibration and is represented as f = 1/(2*pi)*sqrt(k/m) or Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring). Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness & A Mass Suspended from Spring is defined as the quantitative measure of inertia, a fundamental property of all matter.
How to calculate Frequency of Undamped Vibration?
The Frequency of undamped vibration is defined as the frequencies of the normal modes of undamped vibration is calculated using Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring). To calculate Frequency of Undamped Vibration, you need Stiffness of Spring (k) & Mass Suspended from Spring (m). With our tool, you need to enter the respective value for Stiffness of Spring & Mass Suspended from Spring 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 Frequency?
In this formula, Frequency uses Stiffness of Spring & Mass Suspended from Spring. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Frequency = 1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2)
  • Frequency = 1/(2*pi)*sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2)
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