Constant K given Angular Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Spring Constant = Angular Frequency^2*Mass
K = ω^2*M
This formula uses 3 Variables
Variables Used
Spring Constant - Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Mass - (Measured in Kilogram) - Mass 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
Angular Frequency: 10.28 Revolution per Second --> 10.28 Hertz (Check conversion here)
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K = ω^2*M --> 10.28^2*35.45
Evaluating ... ...
K = 3746.29928
STEP 3: Convert Result to Output's Unit
3746.29928 --> No Conversion Required
FINAL ANSWER
3746.29928 3746.299 <-- Spring Constant
(Calculation completed in 00.004 seconds)

Credits

Created by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has created this Calculator and 25+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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3 Empirical Constant's for SHM Calculators

Amplitude given Position
Go Amplitude = (sin(Angular Frequency*Time Period SHM+Phase Angle))/Position of a particle
Constant K given Restoring Force
Go Spring Constant = -Restoring Force/Distance Traveled
Constant K given Angular Frequency
Go Spring Constant = Angular Frequency^2*Mass

Constant K given Angular Frequency Formula

Spring Constant = Angular Frequency^2*Mass
K = ω^2*M

What is shm?

Simple harmonic motion is defined as a periodic motion of a point along a straight line, such that its acceleration is always towards a fixed point in that line and is proportional to its distance from that point.

How to Calculate Constant K given Angular Frequency?

Constant K given Angular Frequency calculator uses Spring Constant = Angular Frequency^2*Mass to calculate the Spring Constant, The constant k given angular frequency formula is defined as Hooke's law simply states that for a linear spring the spring force, Fs, is proportional to the change in length, x, that the spring undergoes mathematically, Fs = - kx, where k is the spring constant. Spring Constant is denoted by K symbol.

How to calculate Constant K given Angular Frequency using this online calculator? To use this online calculator for Constant K given Angular Frequency, enter Angular Frequency (ω) & Mass (M) and hit the calculate button. Here is how the Constant K given Angular Frequency calculation can be explained with given input values -> 3746.299 = 10.28^2*35.45.

FAQ

What is Constant K given Angular Frequency?
The constant k given angular frequency formula is defined as Hooke's law simply states that for a linear spring the spring force, Fs, is proportional to the change in length, x, that the spring undergoes mathematically, Fs = - kx, where k is the spring constant and is represented as K = ω^2*M or Spring Constant = Angular Frequency^2*Mass. Angular Frequency of a steadily recurring phenomenon expressed in radians per second & Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
How to calculate Constant K given Angular Frequency?
The constant k given angular frequency formula is defined as Hooke's law simply states that for a linear spring the spring force, Fs, is proportional to the change in length, x, that the spring undergoes mathematically, Fs = - kx, where k is the spring constant is calculated using Spring Constant = Angular Frequency^2*Mass. To calculate Constant K given Angular Frequency, you need Angular Frequency (ω) & Mass (M). With our tool, you need to enter the respective value for Angular Frequency & Mass 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 Spring Constant?
In this formula, Spring Constant uses Angular Frequency & Mass. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Spring Constant = -Restoring Force/Distance Traveled
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