Transmissibility Ratio given Force Transmitted Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transmissibility Ratio = Force Transmitted/Applied Force
ε = FT/Fa
This formula uses 3 Variables
Variables Used
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.
Force Transmitted - (Measured in Newton) - Force Transmitted in a body is basically governed by Newton's laws of conservation of linear and angular momentum.
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
Force Transmitted: 48021.6 Newton --> 48021.6 Newton No Conversion Required
Applied Force: 2500 Newton --> 2500 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ε = FT/Fa --> 48021.6/2500
Evaluating ... ...
ε = 19.20864
STEP 3: Convert Result to Output's Unit
19.20864 --> No Conversion Required
FINAL ANSWER
19.20864 <-- Transmissibility Ratio
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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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

Transmissibility Ratio given Force Transmitted Formula

Transmissibility Ratio = Force Transmitted/Applied Force
ε = FT/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 Transmissibility Ratio given Force Transmitted?

Transmissibility Ratio given Force Transmitted calculator uses Transmissibility Ratio = Force Transmitted/Applied Force to calculate the Transmissibility Ratio, The Transmissibility ratio given force transmitted formula is defined as 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. Transmissibility Ratio is denoted by ε symbol.

How to calculate Transmissibility Ratio given Force Transmitted using this online calculator? To use this online calculator for Transmissibility Ratio given Force Transmitted, enter Force Transmitted (FT) & Applied Force (Fa) and hit the calculate button. Here is how the Transmissibility Ratio given Force Transmitted calculation can be explained with given input values -> 19.20864 = 48021.6/2500.

FAQ

What is Transmissibility Ratio given Force Transmitted?
The Transmissibility ratio given force transmitted formula is defined as 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 and is represented as ε = FT/Fa or Transmissibility Ratio = Force Transmitted/Applied Force. Force Transmitted in a body is basically governed by Newton's laws of conservation of linear and angular momentum & Applied force is a force that is applied to an object by a person or another object.
How to calculate Transmissibility Ratio given Force Transmitted?
The Transmissibility ratio given force transmitted formula is defined as 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 is calculated using Transmissibility Ratio = Force Transmitted/Applied Force. To calculate Transmissibility Ratio given Force Transmitted, you need Force Transmitted (FT) & Applied Force (Fa). With our tool, you need to enter the respective value for Force Transmitted & 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 Transmissibility Ratio?
In this formula, Transmissibility Ratio uses Force Transmitted & Applied Force. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Transmissibility Ratio = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Applied Force
  • Transmissibility Ratio = (Magnification Factor*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Stiffness of Spring
  • Transmissibility Ratio = Magnification Factor*sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2)
  • 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)
  • Transmissibility Ratio = 1/((Angular Velocity/Natural Circular Frequency)^2-1)
  • Transmissibility Ratio = (Maximum Displacement*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Applied Force
  • 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)
  • Transmissibility Ratio = Magnification Factor*sqrt(1+((2*Damping Coefficient*Angular Velocity)/(Critical Damping Coefficient*Natural Circular Frequency))^2)
  • Transmissibility Ratio = 1/((Angular Velocity/Natural Circular Frequency)^2-1)
  • Transmissibility Ratio = (Magnification Factor*sqrt(Stiffness of Spring^2+(Damping Coefficient*Angular Velocity)^2))/Stiffness of Spring
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