Natural Frequency of Free Transverse Vibrations Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi
f = (sqrt(s/Wattached))/2*pi
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 Shaft - (Measured in Newton per Meter) - Stiffness of shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load attached to free end of constraint is a weight or source of pressure.
STEP 1: Convert Input(s) to Base Unit
Stiffness of Shaft: 0.63 Newton per Meter --> 0.63 Newton per Meter No Conversion Required
Load Attached to Free End of Constraint: 0.52 Kilogram --> 0.52 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = (sqrt(s/Wattached))/2*pi --> (sqrt(0.63/0.52))/2*pi
Evaluating ... ...
f = 1.72897406950546
STEP 3: Convert Result to Output's Unit
1.72897406950546 Hertz --> No Conversion Required
FINAL ANSWER
1.72897406950546 1.728974 Hertz <-- Frequency
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has verified this Calculator and 400+ more calculators!

8 Natural Frequency of Free Transverse Vibrations Calculators

Length of Shaft
Go Length of Shaft = ((Static Deflection*3*Young's Modulus*Moment of inertia of shaft)/(Load Attached to Free End of Constraint))^(1/3)
Static Deflection given Moment of Inertia of Shaft
Go Static Deflection = (Load Attached to Free End of Constraint*Length of Shaft^3)/(3*Young's Modulus*Moment of inertia of shaft)
Moment of Inertia of Shaft given Static Deflection
Go Moment of inertia of shaft = (Load Attached to Free End of Constraint*Length of Shaft^3)/(3*Young's Modulus*Static Deflection)
Load at Free End in Free Transverse Vibrations
Go Load Attached to Free End of Constraint = (Static Deflection*3*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^3)
Natural Frequency of Free Transverse Vibrations
Go Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi
Time Period of Free Transverse Vibrations
Go Time Period = 2*pi*sqrt(Load Attached to Free End of Constraint/Stiffness of Shaft)
Acceleration of Body given Stiffness of Shaft
Go Acceleration = (-Stiffness of Shaft*Displacement of Body)/Load Attached to Free End of Constraint
Restoring Force using Stiffness of Shaft
Go Force = -Stiffness of Shaft*Displacement of Body

Natural Frequency of Free Transverse Vibrations Formula

Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi
f = (sqrt(s/Wattached))/2*pi

What is the difference between a longitudinal and transverse waves?

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

How to Calculate Natural Frequency of Free Transverse Vibrations?

Natural Frequency of Free Transverse Vibrations calculator uses Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi to calculate the Frequency, The Natural Frequency of free transverse vibrations formula is defined as the frequency at which a system tends to oscillate in the absence of any driving or damping force. Frequency is denoted by f symbol.

How to calculate Natural Frequency of Free Transverse Vibrations using this online calculator? To use this online calculator for Natural Frequency of Free Transverse Vibrations, enter Stiffness of Shaft (s) & Load Attached to Free End of Constraint (Wattached) and hit the calculate button. Here is how the Natural Frequency of Free Transverse Vibrations calculation can be explained with given input values -> 1.728974 = (sqrt(0.63/0.52))/2*pi.

FAQ

What is Natural Frequency of Free Transverse Vibrations?
The Natural Frequency of free transverse vibrations formula is defined as the frequency at which a system tends to oscillate in the absence of any driving or damping force and is represented as f = (sqrt(s/Wattached))/2*pi or Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi. Stiffness of shaft means that the lateral deflection of the shaft and/or angle of twist of the shaft should be within some prescribed limit & Load attached to free end of constraint is a weight or source of pressure.
How to calculate Natural Frequency of Free Transverse Vibrations?
The Natural Frequency of free transverse vibrations formula is defined as the frequency at which a system tends to oscillate in the absence of any driving or damping force is calculated using Frequency = (sqrt(Stiffness of Shaft/Load Attached to Free End of Constraint))/2*pi. To calculate Natural Frequency of Free Transverse Vibrations, you need Stiffness of Shaft (s) & Load Attached to Free End of Constraint (Wattached). With our tool, you need to enter the respective value for Stiffness of Shaft & Load Attached to Free End of Constraint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!