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Angular velocity of vibration in terms of force transmitted Calculator

Category Physics ↺
Physics Theory of Machine ↺
Theory-Of-Machine Vibrations ↺
Vibrations Longitudinal and Transverse Vibrations ↺
Longitudinal-And-Transverse-Vibrations Vibration Isolation and Transmissibility ↺
✖Damping coefficient is a material property that indicates whether a material will bounce back or return energy to a system.ⓘ Damping coefficient [c]
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✖Force Transmitted in a body is basically governed by Newton's laws of conservation of linear and angular momentum.ⓘ Force Transmitted [FT
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-10%
✖Maximum displacement implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object.ⓘ Maximum displacement [X]
+10%
-10%
✖Stiffness of spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.ⓘ Stiffness of spring [s]
+10%
-10%
✖The angular velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular velocity of vibration in terms of force transmitted [ω]
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Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 500+ more calculators!
Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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11 Other formulas that you can solve using the same Inputs

Maximum kinetic energy at mean position
Maximum Kinetic energy=(Load attached to the free end of constraint*(Natural circular frequency^2)*(Maximum displacement^2))/2 GO
Velocity at mean position
Velocity=(Natural circular frequency*Maximum displacement)*cos(Natural circular frequency*Time) GO
Natural circular frequency if displacement of the body is known
Natural circular frequency=(asin(Displacement of Body/Maximum displacement))/Time GO
Maximum potential energy at mean position
Maximum potential energy=(Stiffness of the constraint*(Maximum displacement^2))/2 GO
Displacement of the body from the mean position
Displacement of Body=Maximum displacement*(sin(Natural circular frequency*Time)) GO
Deflection of spring when mass m is attached to it
Deflection of Spring=Mass*Acceleration Due To Gravity/Stiffness of spring GO
Restoring force due to spring
Force=Stiffness of spring*Displacement of load below equilibrium position GO
Force resisting the additional deflection of centre of gravity of the rotor
Force=Stiffness of spring*Additional deflection of C.G of the rotor GO
Natural circular frequency if maximum velocity at mean position is known
Natural circular frequency=Maximum velocity/Maximum displacement GO
Maximum velocity at the mean position
Maximum velocity=Natural circular frequency*Maximum displacement GO
Damping ratio / Damping factor
Damping ratio=Damping coefficient/(2*sqrt(Mass*Spring constant)) GO

4 Other formulas that calculate the same Output

Angular velocity of the element
Angular velocity=Angular velocity of free end*Distance b/w small element and fixed end/Length of the constraint GO
Angular velocity of the shaft
Angular velocity=sqrt(Torsional stiffness of the shaft/Mass moment of inertia of disc) GO
Angular Velocity
Angular velocity=Tangential Velocity/Radius of Curvature GO
Angular Velocity when speed in R.P.M is given
Angular velocity=(2*pi*Speed of Shaft A In R.P.M)/60 GO

Angular velocity of vibration in terms of force transmitted Formula

Angular velocity=Damping coefficient=(sqrt(((Force Transmitted/Maximum displacement)^2)-(Stiffness of spring^2)))/Damping coefficient
ω=c=(sqrt(((F<sub>T</sub>/X)^2)-(s^2)))/c
More formulas
Force transmitted GO
Maximum displacement of vibration in terms of force transmitted GO
Stiffness of spring in terms of force transmitted GO
Damping coefficient in terms of force transmitted GO
Transmissibility ratio when force transmitted is known GO
Transmissibility ratio GO
Transmitted force if transmissibility ratio is known GO
Applied force if transmissibility ratio is known GO
Applied force if transmissibility ratio and maximum displacement of vibration is given GO
Maximum displacement of vibration if Transmissibility ratio is known GO
Transmissibility ratio in terms of magnification factor GO
Magnification factor if transmissibility ratio is given GO
Magnification factor in terms of transmissibility ratio if natural circular frequency is known GO
Transmissibility ratio if natural circular frequency and magnification factor is known GO
Transmissibility ratio if natural circular frequency and critical damping coefficient is known GO
Transmissibility ratio if there's no damping GO
Natural circular frequency in terms of transmissibility ratio GO

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 Angular velocity of vibration in terms of force transmitted?

Angular velocity of vibration in terms of force transmitted calculator uses Angular velocity=Damping coefficient=(sqrt(((Force Transmitted/Maximum displacement)^2)-(Stiffness of spring^2)))/Damping coefficient to calculate the Angular velocity, The Angular velocity of vibration in terms of force transmitted formula is defined as a vector measure of rotation rate, that refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time. Angular velocity and is denoted by ω symbol.

How to calculate Angular velocity of vibration in terms of force transmitted using this online calculator? To use this online calculator for Angular velocity of vibration in terms of force transmitted, enter Damping coefficient (c), Force Transmitted (FT, Maximum displacement (X) and Stiffness of spring (s) and hit the calculate button. Here is how the Angular velocity of vibration in terms of force transmitted calculation can be explained with given input values -> NaN = 50=(sqrt(((6/380)^2)-(0.8^2)))/50.

FAQ

What is Angular velocity of vibration in terms of force transmitted?
The Angular velocity of vibration in terms of force transmitted formula is defined as a vector measure of rotation rate, that refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time and is represented as ω=c=(sqrt(((FT or Angular velocity=Damping coefficient=(sqrt(((Force Transmitted/Maximum displacement)^2)-(Stiffness of spring^2)))/Damping coefficient. Damping coefficient is a material property that indicates whether a material will bounce back or return energy to a system, Force Transmitted in a body is basically governed by Newton's laws of conservation of linear and angular momentum, Maximum displacement implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object and Stiffness of spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.
How to calculate Angular velocity of vibration in terms of force transmitted?
The Angular velocity of vibration in terms of force transmitted formula is defined as a vector measure of rotation rate, that refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time is calculated using Angular velocity=Damping coefficient=(sqrt(((Force Transmitted/Maximum displacement)^2)-(Stiffness of spring^2)))/Damping coefficient. To calculate Angular velocity of vibration in terms of force transmitted, you need Damping coefficient (c), Force Transmitted (FT, Maximum displacement (X) and Stiffness of spring (s). With our tool, you need to enter the respective value for Damping coefficient, Force Transmitted, Maximum displacement and Stiffness of spring 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 Angular velocity?
In this formula, Angular velocity uses Damping coefficient, Force Transmitted, Maximum displacement and Stiffness of spring. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Angular velocity=Tangential Velocity/Radius of Curvature
  • Angular velocity=(2*pi*Speed of Shaft A In R.P.M)/60
  • Angular velocity=sqrt(Torsional stiffness of the shaft/Mass moment of inertia of disc)
  • Angular velocity=Angular velocity of free end*Distance b/w small element and fixed end/Length of the constraint
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