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Applied Force given Transmissibility Ratio Formula

GoApplied Force given Transmissibility Ratio and Maximum Displacement of Vibration Formula

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

F a = \frac{F T}{ε}

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

Applied Force given Transmissibility Ratio Example

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

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

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

2500 = \frac{48021.6}{19.2086}

2500N = \frac{48021.6N}{19.2086}

2500 = \frac{48021.6}{19.2086}

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Applied Force given Transmissibility Ratio Solution

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

FIRST Step Consider the formula

F a = \frac{F T}{ε}

Next Step Substitute values of Variables

∴

F a = \frac{48021.6N}{19.2086}

Next Step Prepare to Evaluate

∴

F a = \frac{48021.6}{19.2086}

LAST Step Evaluate

∴

F a = 2500N

Applied Force given Transmissibility Ratio Formula Elements

Variables

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

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

Other Formulas to find Applied Force

Go Applied Force given Transmissibility Ratio and Maximum Displacement of Vibration

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

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 Damping Coefficient using Force Transmitted

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

Go Force Transmitted

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

Go Magnification Factor given Transmissibility Ratio

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

How to Evaluate Applied Force given Transmissibility Ratio?

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

FAQs on Applied Force given Transmissibility Ratio

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

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

How to calculate Applied Force given Transmissibility Ratio?

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

What are the other ways to Calculate Applied Force?

Here are the different ways to Calculate Applied Force-

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

Can the Applied Force given Transmissibility Ratio be negative?

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

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

Applied 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 Applied Force given Transmissibility Ratio can be measured.

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Applied Force given Transmissibility Ratio Formula

​GoApplied Force given Transmissibility Ratio and Maximum Displacement of Vibration Formula

Applied Force given Transmissibility Ratio Example

Applied Force given Transmissibility Ratio Solution

Applied Force given Transmissibility Ratio Formula Elements

Other Formulas to find Applied Force

Other formulas in Vibration Isolation and Transmissibility category

How to Evaluate Applied Force given Transmissibility Ratio?

FAQs on Applied Force given Transmissibility Ratio

Variable Name

GoApplied Force given Transmissibility Ratio and Maximum Displacement of Vibration Formula