Natural Frequency of Free Longitudinal Vibrations given Static Deflection Solution

STEP 0: Pre-Calculation Summary
Formula Used
Frequency = 0.4985/(sqrt(Static Deflection))
f = 0.4985/(sqrt(δ))
This formula uses 1 Functions, 2 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
Frequency - (Measured in Hertz) - Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second.
Static Deflection - (Measured in Meter) - Static deflection is the extension or compression of the constraint.
STEP 1: Convert Input(s) to Base Unit
Static Deflection: 0.072 Meter --> 0.072 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = 0.4985/(sqrt(δ)) --> 0.4985/(sqrt(0.072))
Evaluating ... ...
f = 1.85779981130608
STEP 3: Convert Result to Output's Unit
1.85779981130608 Hertz --> No Conversion Required
FINAL ANSWER
1.85779981130608 1.8578 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 Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

2 Natural Frequency Calculators

Natural Frequency of Free Longitudinal Vibrations
Go Frequency = (sqrt(Acceleration due to Gravity/Static Deflection))/(2*pi)
Natural Frequency of Free Longitudinal Vibrations given Static Deflection
Go Frequency = 0.4985/(sqrt(Static Deflection))

Natural Frequency of Free Longitudinal Vibrations given Static Deflection Formula

Frequency = 0.4985/(sqrt(Static Deflection))
f = 0.4985/(sqrt(δ))

What is difference between longitudinal and transverse wave?

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 Longitudinal Vibrations given Static Deflection?

Natural Frequency of Free Longitudinal Vibrations given Static Deflection calculator uses Frequency = 0.4985/(sqrt(Static Deflection)) to calculate the Frequency, The Natural Frequency of Free Longitudinal Vibrations given Static Deflection formula is defined as the number of cycles described in one second. Frequency is denoted by f symbol.

How to calculate Natural Frequency of Free Longitudinal Vibrations given Static Deflection using this online calculator? To use this online calculator for Natural Frequency of Free Longitudinal Vibrations given Static Deflection, enter Static Deflection (δ) and hit the calculate button. Here is how the Natural Frequency of Free Longitudinal Vibrations given Static Deflection calculation can be explained with given input values -> 1.8578 = 0.4985/(sqrt(0.072)).

FAQ

What is Natural Frequency of Free Longitudinal Vibrations given Static Deflection?
The Natural Frequency of Free Longitudinal Vibrations given Static Deflection formula is defined as the number of cycles described in one second and is represented as f = 0.4985/(sqrt(δ)) or Frequency = 0.4985/(sqrt(Static Deflection)). Static deflection is the extension or compression of the constraint.
How to calculate Natural Frequency of Free Longitudinal Vibrations given Static Deflection?
The Natural Frequency of Free Longitudinal Vibrations given Static Deflection formula is defined as the number of cycles described in one second is calculated using Frequency = 0.4985/(sqrt(Static Deflection)). To calculate Natural Frequency of Free Longitudinal Vibrations given Static Deflection, you need Static Deflection (δ). With our tool, you need to enter the respective value for Static Deflection 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 Frequency?
In this formula, Frequency uses Static Deflection. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Frequency = (sqrt(Acceleration due to Gravity/Static Deflection))/(2*pi)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!