Applied Force given Transmissibility Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Applied Force = Force Transmitted/Transmissibility Ratio
Fa = FT/ε
This formula uses 3 Variables
Variables Used
Applied Force - (Measured in Newton) - Applied force is a force that is applied to an object by a person or another object.
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.
STEP 1: Convert Input(s) to Base Unit
Force Transmitted: 48021.6 Newton --> 48021.6 Newton No Conversion Required
Transmissibility Ratio: 19.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fa = FT/ε --> 48021.6/19.2
Evaluating ... ...
Fa = 2501.125
STEP 3: Convert Result to Output's Unit
2501.125 Newton --> No Conversion Required
FINAL ANSWER
2501.125 Newton <-- Applied Force
(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

Applied Force given Transmissibility Ratio Formula

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

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 Applied Force given Transmissibility Ratio?

Applied Force given Transmissibility Ratio calculator uses Applied Force = Force Transmitted/Transmissibility Ratio to calculate the Applied Force, The Applied force given transmissibility ratio formula is defined as a force that is applied to an object by a person or another object. Applied Force is denoted by Fa symbol.

How to calculate Applied Force given Transmissibility Ratio using this online calculator? To use this online calculator for Applied Force given Transmissibility Ratio, enter Force Transmitted (FT) & Transmissibility Ratio (ε) and hit the calculate button. Here is how the Applied Force given Transmissibility Ratio calculation can be explained with given input values -> 2501.125 = 48021.6/19.2.

FAQ

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