Force Transmitted Calculator

✖Maximum Displacement is the greatest distance from the mean position that an oscillating object reaches in a mechanical vibrating system.ⓘ Maximum Displacement [K]			+10% -10%
✖Stiffness of Spring is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched.ⓘ Stiffness of Spring [k]			+10% -10%
✖Damping Coefficient is a measure of the rate at which the amplitude of oscillations decreases in a mechanical system due to energy loss.ⓘ Damping Coefficient [c]			+10% -10%
✖Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.ⓘ Angular Velocity [ω]			+10% -10%

✖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]

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Force Transmitted Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)
F_T = K*sqrt(k^2+(c*ω)^2)
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

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.
Maximum Displacement - (Measured in Meter) - Maximum Displacement is the greatest distance from the mean position that an oscillating object reaches in a mechanical vibrating system.
Stiffness of Spring - (Measured in Newton per Meter) - Stiffness of Spring is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched.
Damping Coefficient - (Measured in Newton Second per Meter) - Damping Coefficient is a measure of the rate at which the amplitude of oscillations decreases in a mechanical system due to energy loss.
Angular Velocity - (Measured in Radian per Second) - Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

STEP 1: Convert Input(s) to Base Unit

Maximum Displacement: 0.8 Meter --> 0.8 Meter No Conversion Required
Stiffness of Spring: 60000 Newton per Meter --> 60000 Newton per Meter No Conversion Required
Damping Coefficient: 9000.022 Newton Second per Meter --> 9000.022 Newton Second per Meter No Conversion Required
Angular Velocity: 0.200022 Radian per Second --> 0.200022 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_T = K*sqrt(k^2+(c*ω)^2) --> 0.8*sqrt(60000^2+(9000.022*0.200022)^2)

Evaluating ... ...

F_T = 48021.5999978857

STEP 3: Convert Result to Output's Unit

48021.5999978857 Newton --> No Conversion Required

FINAL ANSWER

48021.5999978857 ≈ 48021.6 Newton <-- Force Transmitted

(Calculation completed in 00.020 seconds)

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

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Dipto Mandal

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

Force Transmitted Formula

LaTeX Go

Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)
F_T = K*sqrt(k^2+(c*ω)^2)

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 Force Transmitted?

Force Transmitted calculator uses Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2) to calculate 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 calculate Force Transmitted using this online calculator? To use this online calculator for Force Transmitted, enter Maximum Displacement (K), Stiffness of Spring (k), Damping Coefficient (c) & Angular Velocity (ω) and hit the calculate button. Here is how the Force Transmitted calculation can be explained with given input values -> 48021.6 = 0.8*sqrt(60000^2+(9000.022*0.200022)^2).

FAQ

What is 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 and is represented as F_T = K*sqrt(k^2+(c*ω)^2) or Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2). Maximum Displacement is the greatest distance from the mean position that an oscillating object reaches in a mechanical vibrating system, Stiffness of Spring is the measure of a spring's resistance to deformation, indicating its ability to store energy when compressed or stretched, Damping Coefficient is a measure of the rate at which the amplitude of oscillations decreases in a mechanical system due to energy loss & Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

How to calculate 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 is calculated using Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2). To calculate Force Transmitted, you need Maximum Displacement (K), Stiffness of Spring (k), Damping Coefficient (c) & Angular Velocity (ω). With our tool, you need to enter the respective value for Maximum Displacement, Stiffness of Spring, Damping Coefficient & Angular Velocity 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 Maximum Displacement, Stiffness of Spring, Damping Coefficient & Angular Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Force Transmitted = Transmissibility Ratio*Applied Force
Force Transmitted = Transmissibility Ratio*Applied Force

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