Applied Force given Transmissibility Ratio Calculator

✖Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability.ⓘ Force Transmitted [F_T]			+10% -10%
✖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 given Transmissibility Ratio [F_a]

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Applied Force given Transmissibility Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Applied Force - (Measured in Newton) - Applied Force is the force that is intentionally applied to a system to induce or maintain mechanical vibrations.
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.

STEP 1: Convert Input(s) to Base Unit

Force Transmitted: 48021.6 Newton --> 48021.6 Newton No Conversion Required
Transmissibility Ratio: 19.20864 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_a = F_T/ε --> 48021.6/19.20864

Evaluating ... ...

F_a = 2500

STEP 3: Convert Result to Output's Unit

2500 Newton --> No Conversion Required

FINAL ANSWER

2500 Newton <-- Applied Force

(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 » Applied 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

Applied Force given Transmissibility Ratio Formula

LaTeX Go

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

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 Applied Force given Transmissibility Ratio?

Applied Force given Transmissibility Ratio calculator uses Applied Force = Force Transmitted/Transmissibility Ratio to calculate the Applied Force, Applied Force given Transmissibility Ratio formula is defined as a measure of the force applied to a system in mechanical vibrations, which is dependent on the transmissibility ratio and the transmitted force, providing a crucial parameter in understanding the dynamics of vibrational systems. Applied Force is denoted by F_a symbol.

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

FAQ

What is Applied Force given Transmissibility Ratio?

Applied Force given Transmissibility Ratio formula is defined as a measure of the force applied to a system in mechanical vibrations, which is dependent on the transmissibility ratio and the transmitted force, providing a crucial parameter in understanding the dynamics of vibrational systems and is represented as F_a = F_T/ε or Applied Force = Force Transmitted/Transmissibility Ratio. Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability & Transmissibility Ratio is the ratio of the response amplitude of a system to the excitation amplitude in mechanical vibration analysis.

How to calculate Applied Force given Transmissibility Ratio?

Applied Force given Transmissibility Ratio formula is defined as a measure of the force applied to a system in mechanical vibrations, which is dependent on the transmissibility ratio and the transmitted force, providing a crucial parameter in understanding the dynamics of vibrational systems is calculated using Applied Force = Force Transmitted/Transmissibility Ratio. To calculate Applied Force given Transmissibility Ratio, you need Force Transmitted (F_T) & Transmissibility Ratio (ε). With our tool, you need to enter the respective value for Force Transmitted & Transmissibility Ratio 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 Applied Force?

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

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

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