Frequency given Spring Constant and Mass Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to 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
Vibrational Frequency - (Measured in Hertz) - Vibrational Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
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
f = 1/(2*pi)*sqrt(k'/m') --> 1/(2*pi)*sqrt(10.4/2.6)
Evaluating ... ...
f = 0.318309886183791
STEP 3: Convert Result to Output's Unit
0.318309886183791 Hertz --> No Conversion Required
FINAL ANSWER
0.318309886183791 0.31831 Hertz <-- Vibrational Frequency
(Calculation completed in 00.004 seconds)

Credits

Created by Chilvera Bhanu Teja
Institute of Aeronautical Engineering (IARE), Hyderabad
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Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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

Frequency given Spring Constant and Mass Formula

Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring)
f = 1/(2*pi)*sqrt(k'/m')

What is frequency?

Frequency is the number of occurrences of a repeating event per unit of time. Unit of frequency is Hertz.

How to Calculate Frequency given Spring Constant and Mass?

Frequency given Spring Constant and Mass calculator uses Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring) to calculate the Vibrational Frequency, The Frequency given spring constant and mass formula is defined as half of square root of the ratio of spring constant to mass of body and divided by pi. Vibrational Frequency is denoted by f symbol.

How to calculate Frequency given Spring Constant and Mass using this online calculator? To use this online calculator for Frequency given Spring Constant and Mass, enter Spring Stiffness (k') & Mass Attached to Spring (m') and hit the calculate button. Here is how the Frequency given Spring Constant and Mass calculation can be explained with given input values -> 0.31831 = 1/(2*pi)*sqrt(10.4/2.6).

FAQ

What is Frequency given Spring Constant and Mass?
The Frequency given spring constant and mass formula is defined as half of square root of the ratio of spring constant to mass of body and divided by pi and is represented as f = 1/(2*pi)*sqrt(k'/m') or Vibrational Frequency = 1/(2*pi)*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 Frequency given Spring Constant and Mass?
The Frequency given spring constant and mass formula is defined as half of square root of the ratio of spring constant to mass of body and divided by pi is calculated using Vibrational Frequency = 1/(2*pi)*sqrt(Spring Stiffness/Mass Attached to Spring). To calculate Frequency given Spring Constant and Mass, 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.
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