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Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second. Check FAQs
f=12πωn2-a2
f - Frequency?ωn - Natural Circular Frequency?a - Frequency Constant for Calculation?π - Archimedes' constant?

Frequency of Damped Vibration using Natural Frequency Example

With values
With units
Only example

Here is how the Frequency of Damped Vibration using Natural Frequency equation looks like with Values.

Here is how the Frequency of Damped Vibration using Natural Frequency equation looks like with Units.

Here is how the Frequency of Damped Vibration using Natural Frequency equation looks like.

3.3421Edit=123.141621Edit2-0.2Edit2
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Frequency of Damped Vibration using Natural Frequency Solution

Follow our step by step solution on how to calculate Frequency of Damped Vibration using Natural Frequency?

FIRST Step Consider the formula
f=12πωn2-a2
Next Step Substitute values of Variables
f=12π21rad/s2-0.2Hz2
Next Step Substitute values of Constants
f=123.141621rad/s2-0.2Hz2
Next Step Prepare to Evaluate
f=123.1416212-0.22
Next Step Evaluate
f=3.34210222535627Hz
LAST Step Rounding Answer
f=3.3421Hz

Frequency of Damped Vibration using Natural Frequency Formula Elements

Variables
Constants
Functions
Frequency
Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Symbol: f
Measurement: FrequencyUnit: Hz
Note: Value can be positive or negative.
Natural Circular Frequency
Natural Circular Frequency is a scalar measure of rotation rate.
Symbol: ωn
Measurement: Angular VelocityUnit: rad/s
Note: Value should be greater than 0.
Frequency Constant for Calculation
The Frequency Constant for Calculation is the constant whose value is equal to the damping coefficient divided by twice of suspended mass.
Symbol: a
Measurement: FrequencyUnit: Hz
Note: Value can be positive or negative.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
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.
Syntax: sqrt(Number)

Other Formulas to find Frequency

​Go Frequency of Damped Vibration
f=12πkm-(c2m)2
​Go Frequency of Undamped Vibration
f=12πkm

Other formulas in Frequency of Free Damped Vibrations category

​Go Condition for Critical Damping
cc=2mkm
​Go Critical Damping Coefficient
cc=2mωn
​Go Damping Factor
ζ=ccc
​Go Damping Factor given Natural Frequency
ζ=c2mωn

How to Evaluate Frequency of Damped Vibration using Natural Frequency?

Frequency of Damped Vibration using Natural Frequency evaluator uses Frequency = 1/(2*pi)*sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2) to evaluate the Frequency, Frequency of Damped Vibration using Natural Frequency formula is defined as a measure of the number of oscillations per unit time of an object under the influence of a damping force, providing insight into the vibrational characteristics of a system in a state of free damped vibration. Frequency is denoted by f symbol.

How to evaluate Frequency of Damped Vibration using Natural Frequency using this online evaluator? To use this online evaluator for Frequency of Damped Vibration using Natural Frequency, enter Natural Circular Frequency n) & Frequency Constant for Calculation (a) and hit the calculate button.

FAQs on Frequency of Damped Vibration using Natural Frequency

What is the formula to find Frequency of Damped Vibration using Natural Frequency?
The formula of Frequency of Damped Vibration using Natural Frequency is expressed as Frequency = 1/(2*pi)*sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2). Here is an example- 3.342102 = 1/(2*pi)*sqrt(21^2-0.2^2).
How to calculate Frequency of Damped Vibration using Natural Frequency?
With Natural Circular Frequency n) & Frequency Constant for Calculation (a) we can find Frequency of Damped Vibration using Natural Frequency using the formula - Frequency = 1/(2*pi)*sqrt(Natural Circular Frequency^2-Frequency Constant for Calculation^2). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).
What are the other ways to Calculate Frequency?
Here are the different ways to Calculate Frequency-
  • Frequency=1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring-(Damping Coefficient/(2*Mass Suspended from Spring))^2)OpenImg
  • Frequency=1/(2*pi)*sqrt(Stiffness of Spring/Mass Suspended from Spring)OpenImg
Can the Frequency of Damped Vibration using Natural Frequency be negative?
Yes, the Frequency of Damped Vibration using Natural Frequency, measured in Frequency can be negative.
Which unit is used to measure Frequency of Damped Vibration using Natural Frequency?
Frequency of Damped Vibration using Natural Frequency is usually measured using the Hertz[Hz] for Frequency. Petahertz[Hz], Terahertz[Hz], Gigahertz[Hz] are the few other units in which Frequency of Damped Vibration using Natural Frequency can be measured.
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