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Transmitted Force given Transmissibility Ratio Formula

GoForce Transmitted Formula

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Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability. Check FAQs

F T = ε \cdot F a

F_T - Force Transmitted?ε - Transmissibility Ratio?F_a - Applied Force?

Transmitted Force given Transmissibility Ratio Example

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Here is how the Transmitted Force given Transmissibility Ratio equation looks like with Values.

Here is how the Transmitted Force given Transmissibility Ratio equation looks like with Units.

Here is how the Transmitted Force given Transmissibility Ratio equation looks like.

48021.6 = 19.2086 \cdot 2500

48021.6N = 19.2086 \cdot 2500N

48021.6 = 19.2086 \cdot 2500

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Transmitted Force given Transmissibility Ratio Solution

Follow our step by step solution on how to calculate Transmitted Force given Transmissibility Ratio?

FIRST Step Consider the formula

F T = ε \cdot F a

Next Step Substitute values of Variables

∴

F T = 19.2086 \cdot 2500N

Next Step Prepare to Evaluate

∴

F T = 19.2086 \cdot 2500

LAST Step Evaluate

∴

F T = 48021.6N

Transmitted Force given Transmissibility Ratio Formula Elements

Variables

Force Transmitted

Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability.

Symbol: F_T

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force Transmitted

Transmissibility Ratio

Transmissibility Ratio is the ratio of the response amplitude of a system to the excitation amplitude in mechanical vibration analysis.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Transmissibility Ratio

Applied Force

Applied Force is the force that is intentionally applied to a system to induce or maintain mechanical vibrations.

Symbol: F_a

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Applied Force

Other Formulas to find Force Transmitted

Go Force Transmitted

F T = K \cdot \sqrt{k^{2} + {(c \cdot ω)}^{2}}

Other formulas in Vibration Isolation and Transmissibility category

Go Angular Velocity of Vibration using Force Transmitted

ω = \frac{\sqrt{{(\frac{F T}{K})}^{2} - k^{2}}}{c}

Go Applied Force given Transmissibility Ratio and Maximum Displacement of Vibration

F a = \frac{K \cdot \sqrt{k^{2} + {(c \cdot ω)}^{2}}}{ε}

Go Applied Force given Transmissibility Ratio

F a = \frac{F T}{ε}

Go Damping Coefficient using Force Transmitted

c = \frac{\sqrt{{(\frac{F T}{K})}^{2} - k^{2}}}{ω}

How to Evaluate Transmitted Force given Transmissibility Ratio?

Transmitted Force given Transmissibility Ratio evaluator uses Force Transmitted = Transmissibility Ratio*Applied Force to evaluate 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 evaluate Transmitted Force given Transmissibility Ratio using this online evaluator? To use this online evaluator for Transmitted Force given Transmissibility Ratio, enter Transmissibility Ratio (ε) & Applied Force (F_a) and hit the calculate button.

FAQs on Transmitted Force given Transmissibility Ratio

What is the formula to find Transmitted Force given Transmissibility Ratio?

The formula of Transmitted Force given Transmissibility Ratio is expressed as Force Transmitted = Transmissibility Ratio*Applied Force. Here is an example- 48021.6 = 19.20864*2500.

How to calculate Transmitted Force given Transmissibility Ratio?

With Transmissibility Ratio (ε) & Applied Force (F_a) we can find Transmitted Force given Transmissibility Ratio using the formula - Force Transmitted = Transmissibility Ratio*Applied Force.

What are the other ways to Calculate Force Transmitted?

Here are the different ways to Calculate Force Transmitted-

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

Can the Transmitted Force given Transmissibility Ratio be negative?

No, the Transmitted Force given Transmissibility Ratio, measured in Force cannot be negative.

Which unit is used to measure Transmitted Force given Transmissibility Ratio?

Transmitted Force given Transmissibility Ratio is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Transmitted Force given Transmissibility Ratio can be measured.

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Transmitted Force given Transmissibility Ratio Formula

​GoForce Transmitted Formula

Transmitted Force given Transmissibility Ratio Example

Transmitted Force given Transmissibility Ratio Solution

Transmitted Force given Transmissibility Ratio Formula Elements

Other Formulas to find Force Transmitted

Other formulas in Vibration Isolation and Transmissibility category

How to Evaluate Transmitted Force given Transmissibility Ratio?

FAQs on Transmitted Force given Transmissibility Ratio

Variable Name

GoForce Transmitted Formula