Static Deflection given Natural Frequency Solution

STEP 0: Pre-Calculation Summary
Formula Used
Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2)
δ = (g)/((2*pi*f)^2)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Static Deflection - (Measured in Meter) - Static Deflection is the maximum displacement of an object or structure under a given load, in the context of natural frequency of free longitudinal vibrations.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Frequency - (Measured in Hertz) - Frequency is the number of oscillations or cycles per second of a free longitudinal vibration of an object or substance in a given time period.
STEP 1: Convert Input(s) to Base Unit
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Frequency: 0.635 Hertz --> 0.635 Hertz No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
δ = (g)/((2*pi*f)^2) --> (9.8)/((2*pi*0.635)^2)
Evaluating ... ...
δ = 0.61562874306833
STEP 3: Convert Result to Output's Unit
0.61562874306833 Meter --> No Conversion Required
FINAL ANSWER
0.61562874306833 0.615629 Meter <-- Static Deflection
(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Static Deflection given Natural Frequency Formula

​LaTeX ​Go
Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2)
δ = (g)/((2*pi*f)^2)

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 Static Deflection given Natural Frequency?

Static Deflection given Natural Frequency calculator uses Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2) to calculate the Static Deflection, Static Deflection given Natural Frequency formula is defined as a measure of the maximum displacement of an object from its equilibrium position when subjected to a periodic force, providing insight into the oscillatory behavior of a system in free longitudinal vibrations. Static Deflection is denoted by δ symbol.

How to calculate Static Deflection given Natural Frequency using this online calculator? To use this online calculator for Static Deflection given Natural Frequency, enter Acceleration due to Gravity (g) & Frequency (f) and hit the calculate button. Here is how the Static Deflection given Natural Frequency calculation can be explained with given input values -> 0.615629 = (9.8)/((2*pi*0.635)^2).

FAQ

What is Static Deflection given Natural Frequency?
Static Deflection given Natural Frequency formula is defined as a measure of the maximum displacement of an object from its equilibrium position when subjected to a periodic force, providing insight into the oscillatory behavior of a system in free longitudinal vibrations and is represented as δ = (g)/((2*pi*f)^2) or Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2). Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Frequency is the number of oscillations or cycles per second of a free longitudinal vibration of an object or substance in a given time period.
How to calculate Static Deflection given Natural Frequency?
Static Deflection given Natural Frequency formula is defined as a measure of the maximum displacement of an object from its equilibrium position when subjected to a periodic force, providing insight into the oscillatory behavior of a system in free longitudinal vibrations is calculated using Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2). To calculate Static Deflection given Natural Frequency, you need Acceleration due to Gravity (g) & Frequency (f). With our tool, you need to enter the respective value for Acceleration due to Gravity & Frequency 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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