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Force Transmitted Formula

GoTransmitted Force given Transmissibility Ratio 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 = K \cdot \sqrt{k^{2} + {(c \cdot ω)}^{2}}

F_T - Force Transmitted?K - Maximum Displacement?k - Stiffness of Spring?c - Damping Coefficient?ω - Angular Velocity?

Force Transmitted Example

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

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

Here is how the Force Transmitted equation looks like.

48021.6 = 0.8 \cdot \sqrt{60000^{2} + {(9000.022 \cdot 0.2)}^{2}}

48021.6N = 0.8m \cdot \sqrt{{60000N/m}^{2} + {(9000.022Ns/m \cdot 0.2rad/s)}^{2}}

48021.6 = 0.8 \cdot \sqrt{60000^{2} + {(9000.022 \cdot 0.2)}^{2}}

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Force Transmitted Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F T = 0.8m \cdot \sqrt{{60000N/m}^{2} + {(9000.022Ns/m \cdot 0.2rad/s)}^{2}}

Next Step Prepare to Evaluate

∴

F T = 0.8 \cdot \sqrt{60000^{2} + {(9000.022 \cdot 0.2)}^{2}}

Next Step Evaluate

∴

F T = 48021.5999978857N

LAST Step Rounding Answer

∴

F T = 48021.6N

Force Transmitted Formula Elements

Variables

Functions

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

Maximum Displacement

Maximum Displacement is the greatest distance from the mean position that an oscillating object reaches in a mechanical vibrating system.

Symbol: K

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Displacement

Stiffness of Spring

Stiffness of Spring is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Damping Coefficient

Damping Coefficient is a measure of the rate at which the amplitude of oscillations decreases in a mechanical system due to energy loss.

Symbol: c

Measurement: Damping CoefficientUnit: Ns/m

Note: Value should be greater than 0.

Formulas to find Damping Coefficient

Angular Velocity

Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Force Transmitted

Go Transmitted Force given Transmissibility Ratio

F T = ε \cdot F a

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 Force Transmitted?

Force Transmitted evaluator uses Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2) to evaluate the Force Transmitted, Force Transmitted formula is defined as a measure of the maximum force that can be transmitted to a mechanical system in vibrational motion, taking into account the stiffness of the system, damping coefficient, and angular frequency, providing a critical parameter in the design and analysis of mechanical systems prone to vibrations. Force Transmitted is denoted by F_T symbol.

How to evaluate Force Transmitted using this online evaluator? To use this online evaluator for Force Transmitted, enter Maximum Displacement (K), Stiffness of Spring (k), Damping Coefficient (c) & Angular Velocity (ω) and hit the calculate button.

FAQs on Force Transmitted

What is the formula to find Force Transmitted?

The formula of Force Transmitted is expressed as Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2). Here is an example- 48021.6 = 0.8*sqrt(60000^2+(9000.022*0.200022)^2).

How to calculate Force Transmitted?

With Maximum Displacement (K), Stiffness of Spring (k), Damping Coefficient (c) & Angular Velocity (ω) we can find Force Transmitted using the formula - Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Force Transmitted?

Here are the different ways to Calculate Force Transmitted-

Force Transmitted=Transmissibility Ratio*Applied Force

Can the Force Transmitted be negative?

No, the Force Transmitted, measured in Force cannot be negative.

Which unit is used to measure Force Transmitted?

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

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Force Transmitted Formula

​GoTransmitted Force given Transmissibility Ratio Formula

Force Transmitted Example

Force Transmitted Solution

Force Transmitted Formula Elements

Other Formulas to find Force Transmitted

Other formulas in Vibration Isolation and Transmissibility category

How to Evaluate Force Transmitted?

FAQs on Force Transmitted

Variable Name

GoTransmitted Force given Transmissibility Ratio Formula