Transmitted Force given Transmissibility Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Force Transmitted = Transmissibility Ratio*Applied Force
FT = ε*Fa
This formula uses 3 Variables
Variables Used
Force Transmitted - (Measured in Newton) - Force Transmitted in a body is basically governed by Newton's laws of conservation of linear and angular momentum.
Transmissibility Ratio - Transmissibility Ratio is the ratio of the force transmitted (FT) to the force applied (F) is known as the isolation factor or transmissibility ratio of the spring support.
Applied Force - (Measured in Newton) - Applied force is a force that is applied to an object by a person or another object.
STEP 1: Convert Input(s) to Base Unit
Transmissibility Ratio: 19.2 --> No Conversion Required
Applied Force: 2500 Newton --> 2500 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
FT = ε*Fa --> 19.2*2500
Evaluating ... ...
FT = 48000
STEP 3: Convert Result to Output's Unit
48000 Newton --> No Conversion Required
FINAL ANSWER
48000 Newton <-- Force Transmitted
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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18 Vibration Isolation and Transmissibility Calculators

Transmissibility Ratio given Natural Circular Frequency and Critical Damping Coefficient
Go Transmissibility Ratio = (sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency)^2)))/sqrt(((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2+(1-(Angular Velocity/Natural Circular Frequency)^2)^2)
Magnification Factor given Transmissibility Ratio given Natural Circular Frequency
Go Magnification Factor = Transmissibility Ratio/(sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2))
Transmissibility Ratio given Natural Circular Frequency and Magnification Factor
Go Transmissibility Ratio = Magnification Factor*sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2)
Magnification Factor given Transmissibility Ratio
Go Magnification Factor = (Transmissibility Ratio*Stiffness of Spring)/(sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))
Transmissibility Ratio given Magnification Factor
Go Transmissibility Ratio = (Magnification Factor*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Stiffness of Spring
Maximum Displacement of Vibration given Transmissibility Ratio
Go Maximum Displacement = (Transmissibility Ratio*Applied Force)/(sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))
Applied Force given Transmissibility Ratio and Maximum Displacement of Vibration
Go Applied Force = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Transmissibility Ratio
Transmissibility Ratio
Go Transmissibility Ratio = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Applied Force
Maximum Displacement of Vibration using Force Transmitted
Go Maximum Displacement = Force Transmitted/(sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))
Angular Velocity of Vibration using Force Transmitted
Go Angular Velocity = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Damping Coefficient
Stiffness of Spring using Force Transmitted
Go Stiffness of Spring = sqrt((Force Transmitted/Maximum Displacement)^2-(Damping Coefficient*Angular Velocity)^2)
Damping Coefficient using Force Transmitted
Go Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity
Force Transmitted
Go Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)
Natural Circular Frequency given Transmissibility Ratio
Go Natural Circular Frequency = Angular Velocity/(sqrt(1+1/Transmissibility Ratio))
Transmissibility Ratio if there is No Damping
Go Transmissibility Ratio = 1/((Angular Velocity/Natural Circular Frequency)^2-1)
Transmissibility Ratio given Force Transmitted
Go Transmissibility Ratio = Force Transmitted/Applied Force
Transmitted Force given Transmissibility Ratio
Go Force Transmitted = Transmissibility Ratio*Applied Force
Applied Force given Transmissibility Ratio
Go Applied Force = Force Transmitted/Transmissibility Ratio

18 Forced Vibration Calculators

Transmissibility Ratio given Natural Circular Frequency and Critical Damping Coefficient
Go Transmissibility Ratio = (sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency)^2)))/sqrt(((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2+(1-(Angular Velocity/Natural Circular Frequency)^2)^2)
Magnification Factor given Transmissibility Ratio given Natural Circular Frequency
Go Magnification Factor = Transmissibility Ratio/(sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2))
Transmissibility Ratio given Natural Circular Frequency and Magnification Factor
Go Transmissibility Ratio = Magnification Factor*sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2)
Magnification Factor given Transmissibility Ratio
Go Magnification Factor = (Transmissibility Ratio*Stiffness of Spring)/(sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))
Transmissibility Ratio given Magnification Factor
Go Transmissibility Ratio = (Magnification Factor*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Stiffness of Spring
Maximum Displacement of Vibration given Transmissibility Ratio
Go Maximum Displacement = (Transmissibility Ratio*Applied Force)/(sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))
Applied Force given Transmissibility Ratio and Maximum Displacement of Vibration
Go Applied Force = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Transmissibility Ratio
Transmissibility Ratio
Go Transmissibility Ratio = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Applied Force
Maximum Displacement of Vibration using Force Transmitted
Go Maximum Displacement = Force Transmitted/(sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))
Angular Velocity of Vibration using Force Transmitted
Go Angular Velocity = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Damping Coefficient
Damping Coefficient using Force Transmitted
Go Damping Coefficient = (sqrt((Force Transmitted/Maximum Displacement)^2-Stiffness of Spring^2))/Angular Velocity
Stiffness of Spring using Force Transmitted
Go Stiffness of Spring = sqrt((Force Transmitted/Maximum Displacement)^2-(Damping Coefficient*Angular Velocity)^2)
Force Transmitted
Go Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)
Natural Circular Frequency given Transmissibility Ratio
Go Natural Circular Frequency = Angular Velocity/(sqrt(1+1/Transmissibility Ratio))
Transmissibility Ratio if there is No Damping
Go Transmissibility Ratio = 1/((Angular Velocity/Natural Circular Frequency)^2-1)
Transmissibility Ratio given Force Transmitted
Go Transmissibility Ratio = Force Transmitted/Applied Force
Transmitted Force given Transmissibility Ratio
Go Force Transmitted = Transmissibility Ratio*Applied Force
Applied Force given Transmissibility Ratio
Go Applied Force = Force Transmitted/Transmissibility Ratio

Transmitted Force given Transmissibility Ratio Formula

Force Transmitted = Transmissibility Ratio*Applied Force
FT = ε*Fa

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 Transmitted Force given Transmissibility Ratio?

Transmitted Force given Transmissibility Ratio calculator uses Force Transmitted = Transmissibility Ratio*Applied Force to calculate the Force Transmitted, The Transmitted force given transmissibility ratio formula is defined as the transmission of force in a body which is basically governed by Newton's laws of conservation of linear and angular momentum. Force Transmitted is denoted by FT symbol.

How to calculate Transmitted Force given Transmissibility Ratio using this online calculator? To use this online calculator for Transmitted Force given Transmissibility Ratio, enter Transmissibility Ratio (ε) & Applied Force (Fa) and hit the calculate button. Here is how the Transmitted Force given Transmissibility Ratio calculation can be explained with given input values -> 48000 = 19.2*2500.

FAQ

What is Transmitted Force given Transmissibility Ratio?
The Transmitted force given transmissibility ratio formula is defined as the transmission of force in a body which is basically governed by Newton's laws of conservation of linear and angular momentum and is represented as FT = ε*Fa or Force Transmitted = Transmissibility Ratio*Applied Force. Transmissibility Ratio is the ratio of the force transmitted (FT) to the force applied (F) is known as the isolation factor or transmissibility ratio of the spring support & Applied force is a force that is applied to an object by a person or another object.
How to calculate Transmitted Force given Transmissibility Ratio?
The Transmitted force given transmissibility ratio formula is defined as the transmission of force in a body which is basically governed by Newton's laws of conservation of linear and angular momentum is calculated using Force Transmitted = Transmissibility Ratio*Applied Force. To calculate Transmitted Force given Transmissibility Ratio, you need Transmissibility Ratio (ε) & Applied Force (Fa). With our tool, you need to enter the respective value for Transmissibility Ratio & Applied Force 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 Transmissibility Ratio & Applied Force. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)
  • Force Transmitted = Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2)
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