Transmitted Force given Transmissibility Ratio Calculator

✖Transmissibility Ratio is the ratio of the response amplitude of a system to the excitation amplitude in mechanical vibration analysis.ⓘ Transmissibility Ratio [ε]			+10% -10%
✖Applied Force is the force that is intentionally applied to a system to induce or maintain mechanical vibrations.ⓘ Applied Force [F_a]			+10% -10%

✖Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability.ⓘ Transmitted Force given Transmissibility Ratio [F_T]

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Transmitted Force given Transmissibility Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Transmitted = Transmissibility Ratio*Applied Force
F_T = ε*F_a
This formula uses 3 Variables

Variables Used

Force Transmitted - (Measured in Newton) - Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability.
Transmissibility Ratio - Transmissibility Ratio is the ratio of the response amplitude of a system to the excitation amplitude in mechanical vibration analysis.
Applied Force - (Measured in Newton) - Applied Force is the force that is intentionally applied to a system to induce or maintain mechanical vibrations.

STEP 1: Convert Input(s) to Base Unit

Transmissibility Ratio: 19.20864 --> No Conversion Required
Applied Force: 2500 Newton --> 2500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_T = ε*F_a --> 19.20864*2500

Evaluating ... ...

F_T = 48021.6

STEP 3: Convert Result to Output's Unit

48021.6 Newton --> No Conversion Required

FINAL ANSWER

48021.6 Newton <-- Force Transmitted

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Mechanical » Vibration Isolation and Transmissibility » Transmitted Force given Transmissibility Ratio

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< Vibration Isolation and Transmissibility Calculators

Maximum Displacement of Vibration using Force Transmitted

LaTeX Go Maximum Displacement = Force Transmitted/(sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))

Stiffness of Spring using Force Transmitted

LaTeX Go Stiffness of Spring = sqrt((Force Transmitted/Maximum Displacement)^2-(Damping Coefficient*Angular Velocity)^2)

Damping Coefficient using Force Transmitted

LaTeX Go Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity

Force Transmitted

LaTeX Go Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)

< Forced Vibration Calculators

Applied Force given Transmissibility Ratio and Maximum Displacement of Vibration

LaTeX Go Applied Force = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Transmissibility Ratio

Angular Velocity of Vibration using Force Transmitted

LaTeX Go Angular Velocity = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Damping Coefficient

Damping Coefficient using Force Transmitted

LaTeX Go Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity

Applied Force given Transmissibility Ratio

LaTeX Go Applied Force = Force Transmitted/Transmissibility Ratio

Transmitted Force given Transmissibility Ratio Formula

LaTeX Go

Force Transmitted = Transmissibility Ratio*Applied Force
F_T = ε*F_a

What is meant by vibration isolation?

Vibration isolation is a commonly used technique for reducing or suppressing unwanted vibrations in structures and machines. With this technique, the device or system of interest is isolated from the source of vibration through insertion of a resilient member or isolator.

How to Calculate Transmitted Force given Transmissibility Ratio?

Transmitted Force given Transmissibility Ratio calculator uses Force Transmitted = Transmissibility Ratio*Applied Force to calculate the Force Transmitted, Transmitted Force given Transmissibility Ratio formula is defined as a measure of the force transmitted through a mechanical system, which is a critical parameter in mechanical vibrations, allowing engineers to analyze and design systems that minimize unwanted vibrations and ensure smooth operation. Force Transmitted is denoted by F_T symbol.

How to calculate Transmitted Force given Transmissibility Ratio using this online calculator? To use this online calculator for Transmitted Force given Transmissibility Ratio, enter Transmissibility Ratio (ε) & Applied Force (F_a) and hit the calculate button. Here is how the Transmitted Force given Transmissibility Ratio calculation can be explained with given input values -> 48021.6 = 19.20864*2500.

FAQ

What is Transmitted Force given Transmissibility Ratio?

Transmitted Force given Transmissibility Ratio formula is defined as a measure of the force transmitted through a mechanical system, which is a critical parameter in mechanical vibrations, allowing engineers to analyze and design systems that minimize unwanted vibrations and ensure smooth operation and is represented as F_T = ε*F_a or Force Transmitted = Transmissibility Ratio*Applied Force. Transmissibility Ratio is the ratio of the response amplitude of a system to the excitation amplitude in mechanical vibration analysis & Applied Force is the force that is intentionally applied to a system to induce or maintain mechanical vibrations.

How to calculate Transmitted Force given Transmissibility Ratio?

Transmitted Force given Transmissibility Ratio formula is defined as a measure of the force transmitted through a mechanical system, which is a critical parameter in mechanical vibrations, allowing engineers to analyze and design systems that minimize unwanted vibrations and ensure smooth operation is calculated using Force Transmitted = Transmissibility Ratio*Applied Force. To calculate Transmitted Force given Transmissibility Ratio, you need Transmissibility Ratio (ε) & Applied Force (F_a). With our tool, you need to enter the respective value for Transmissibility Ratio & Applied Force 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 Force Transmitted?

In this formula, Force Transmitted uses Transmissibility Ratio & Applied Force. We can use 2 other way(s) to calculate the same, which is/are as follows -

Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)
Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)

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