Angular Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Angular Frequency = sqrt(Spring Stiffness/Mass Attached to Spring)
ω' = sqrt(k'/m')
This formula uses 1 Functions, 3 Variables
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
Angular Frequency - (Measured in Radian per Second) - Angular Frequency in Radian/sec refers to the angular displacement per unit of time.
Spring Stiffness - (Measured in Newton per Meter) - Spring Stiffness is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
Mass Attached to Spring - (Measured in Kilogram) - Mass Attached to Spring is the quantity of matter in a body regardless of its volume or of any forces acting on it.
STEP 1: Convert Input(s) to Base Unit
Spring Stiffness: 10.4 Newton per Meter --> 10.4 Newton per Meter No Conversion Required
Mass Attached to Spring: 2.6 Kilogram --> 2.6 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ω' = sqrt(k'/m') --> sqrt(10.4/2.6)
Evaluating ... ...
ω' = 2
STEP 3: Convert Result to Output's Unit
2 Radian per Second --> No Conversion Required
FINAL ANSWER
2 Radian per Second <-- Angular Frequency
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 300+ more calculators!
Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

14 Elements of Vibration Calculators

Velocity of Body in Simple Harmonic Motion
Go Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)
Magnitude of Acceleration of Body in Simple Harmonic Motion
Go Acceleration = Vibrational Amplitude*Angular Velocity^2*sin(Angular Velocity*Time in seconds)
Work Done by Harmonic Force
Go Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference)
Displacement of Body in Simple Harmonic Motion
Go Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds)
Frequency given Spring Constant and Mass
Go Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring)
Angular Frequency
Go Angular Frequency = sqrt(Spring Stiffness/Mass Attached to Spring)
Magnitude of Maximum Acceleration of Body in Simple Harmonic Motion
Go Maximum Acceleration = Angular Velocity^2*Vibrational Amplitude
Maximum Velocity of Body in Simple Harmonic Motion
Go Maximum Velocity = Angular Velocity*Vibrational Amplitude
Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement
Go Acceleration = Angular Velocity^2*Displacement of Body
Period of Motion in Simple Harmonic Motion
Go Time Period of Oscillations = 2*pi/Angular Velocity
Damping Force
Go Damping Force = Damping Coefficient*Velocity of Body
Inertia Force
Go Inertia Force = Mass Attached to Spring*Acceleration
Spring Force
Go Spring Force = Spring Stiffness*Displacement of Body
Angular Frequency given Time Period of Motion
Go Angular Frequency = 2*pi/Time Period SHM

Angular Frequency Formula

Angular Frequency = sqrt(Spring Stiffness/Mass Attached to Spring)
ω' = sqrt(k'/m')

What is angular frequency?

For a sinusoidal wave, the angular frequency refers to the angular displacement of any element of the wave per unit time or the rate of change of the phase of the waveform. It is represented by ω.

How to Calculate Angular Frequency?

Angular Frequency calculator uses Angular Frequency = sqrt(Spring Stiffness/Mass Attached to Spring) to calculate the Angular Frequency, Angular frequency, denoted by the symbol ω (omega), is a term used in physics and engineering to describe the rate at which an object or system oscillates or rotates in a circular motion. Angular Frequency is denoted by ω' symbol.

How to calculate Angular Frequency using this online calculator? To use this online calculator for Angular Frequency, enter Spring Stiffness (k') & Mass Attached to Spring (m') and hit the calculate button. Here is how the Angular Frequency calculation can be explained with given input values -> 2 = sqrt(10.4/2.6).

FAQ

What is Angular Frequency?
Angular frequency, denoted by the symbol ω (omega), is a term used in physics and engineering to describe the rate at which an object or system oscillates or rotates in a circular motion and is represented as ω' = sqrt(k'/m') or Angular Frequency = sqrt(Spring Stiffness/Mass Attached to Spring). Spring Stiffness is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness & Mass Attached to Spring is the quantity of matter in a body regardless of its volume or of any forces acting on it.
How to calculate Angular Frequency?
Angular frequency, denoted by the symbol ω (omega), is a term used in physics and engineering to describe the rate at which an object or system oscillates or rotates in a circular motion is calculated using Angular Frequency = sqrt(Spring Stiffness/Mass Attached to Spring). To calculate Angular Frequency, you need Spring Stiffness (k') & Mass Attached to Spring (m'). With our tool, you need to enter the respective value for Spring Stiffness & Mass Attached to 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 Angular Frequency?
In this formula, Angular Frequency uses Spring Stiffness & Mass Attached to Spring. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Angular Frequency = 2*pi/Time Period SHM
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