Damping Coefficient using Force Transmitted 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%
✖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%
✖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%

✖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 using Force Transmitted [c]

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Damping Coefficient using Force Transmitted Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Force Transmitted: 48021.6 Newton --> 48021.6 Newton No Conversion Required
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
Angular Velocity: 0.200022 Radian per Second --> 0.200022 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (sqrt((F_T/K)^2-k^2))/ω --> (sqrt((48021.6/0.8)^2-60000^2))/0.200022

Evaluating ... ...

c = 9000.02244058349

STEP 3: Convert Result to Output's Unit

9000.02244058349 Newton Second per Meter --> No Conversion Required

FINAL ANSWER

9000.02244058349 ≈ 9000.022 Newton Second per Meter <-- Damping Coefficient

(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 » Damping Coefficient using Force Transmitted

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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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

Damping Coefficient using Force Transmitted Formula

LaTeX Go

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

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 Damping Coefficient using Force Transmitted?

Damping Coefficient using Force Transmitted calculator uses Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity to calculate the Damping Coefficient, Damping Coefficient using Force Transmitted formula is defined as a measure of the energy dissipation in a mechanical system, specifically in mechanical vibrations, which helps to quantify the reduction in oscillations due to external forces, thereby providing insights into the system's stability and performance. Damping Coefficient is denoted by c symbol.

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

FAQ

What is Damping Coefficient using Force Transmitted?

Damping Coefficient using Force Transmitted formula is defined as a measure of the energy dissipation in a mechanical system, specifically in mechanical vibrations, which helps to quantify the reduction in oscillations due to external forces, thereby providing insights into the system's stability and performance and is represented as c = (sqrt((F_T/K)^2-k^2))/ω or Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity. Force Transmitted is the amount of energy transferred from a vibrating system to another system or structure, affecting its motion and stability, 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 & Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

How to calculate Damping Coefficient using Force Transmitted?

Damping Coefficient using Force Transmitted formula is defined as a measure of the energy dissipation in a mechanical system, specifically in mechanical vibrations, which helps to quantify the reduction in oscillations due to external forces, thereby providing insights into the system's stability and performance is calculated using Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity. To calculate Damping Coefficient using Force Transmitted, you need Force Transmitted (F_T), Maximum Displacement (K), Stiffness of Spring (k) & Angular Velocity (ω). With our tool, you need to enter the respective value for Force Transmitted, Maximum Displacement, Stiffness of Spring & Angular Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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