External Periodic Disturbing Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period)
F = Fx*cos(ω*tp)
This formula uses 1 Functions, 4 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
External Periodic Disturbing Force - (Measured in Newton) - External Periodic Disturbing Force is called the resonance phenomenon.
Static Force - (Measured in Newton) - Static Force is a force that keeps an object at rest.
Angular Velocity - (Measured in Radian per Second) - 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.
Time Period - (Measured in Second) - Time Period is the time taken by a complete cycle of the wave to pass a point.
STEP 1: Convert Input(s) to Base Unit
Static Force: 20 Newton --> 20 Newton No Conversion Required
Angular Velocity: 10 Radian per Second --> 10 Radian per Second No Conversion Required
Time Period: 1.2 Second --> 1.2 Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = Fx*cos(ω*tp) --> 20*cos(10*1.2)
Evaluating ... ...
F = 16.8770791746498
STEP 3: Convert Result to Output's Unit
16.8770791746498 Newton --> No Conversion Required
FINAL ANSWER
16.8770791746498 16.87708 Newton <-- External Periodic Disturbing Force
(Calculation completed in 00.020 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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15 Frequency of Under Damped Forced Vibrations Calculators

Total Displacement of Forced Vibrations
Go Total Displacement = Amplitude of Vibration*cos(Circular Damped Frequency-Phase Constant)+(Static Force*cos(Angular Velocity*Time Period-Phase Constant))/(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Particular Integral
Go Particular Integral = (Static Force*cos(Angular Velocity*Time Period-Phase Constant))/(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Maximum Displacement of Forced Vibration using Natural Frequency
Go Total Displacement = Static Force/(sqrt((Damping Coefficient*Angular Velocity/Stiffness of Spring)^2+(1-(Angular Velocity/Natural Circular Frequency)^2)^2))
Static Force using Maximum Displacement or Amplitude of Forced Vibration
Go Static Force = Total Displacement*(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Maximum Displacement of Forced Vibration
Go Total Displacement = Static Force/(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))
Phase Constant
Go Phase Constant = atan((Damping Coefficient*Angular Velocity)/(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2))
Damping Coefficient
Go Damping Coefficient = (tan(Phase Constant)*(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2))/Angular Velocity
Maximum Displacement of Forced Vibration at Resonance
Go Total Displacement = Deflection under Static Force*Stiffness of Spring/(Damping Coefficient*Natural Circular Frequency)
Maximum Displacement of Forced Vibration with Negligible Damping
Go Total Displacement = Static Force/(Mass suspended from Spring*(Natural Circular Frequency^2-Angular Velocity^2))
Static Force when Damping is Negligible
Go Static Force = Total Displacement*(Mass suspended from Spring*Natural Circular Frequency^2-Angular Velocity^2)
Complementary Function
Go Complementary Function = Amplitude of Vibration*cos(Circular Damped Frequency-Phase Constant)
External Periodic Disturbing Force
Go External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period)
Deflection of System under Static Force
Go Deflection under Static Force = Static Force/Stiffness of Spring
Static Force
Go Static Force = Deflection under Static Force*Stiffness of Spring
Total Displacement of Forced Vibration given Particular Integral and Complementary Function
Go Total Displacement = Particular Integral+Complementary Function

External Periodic Disturbing Force Formula

External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period)
F = Fx*cos(ω*tp)

Why do we need forced vibration?

The vibration of moving vehicle is forced vibration, because the vehicle's engine, springs, the road, etc., continue to make it vibrate. Forced vibration is when an alternating force or motion is applied to a mechanical system, for example when a washing machine shakes due to an imbalance.

How to Calculate External Periodic Disturbing Force?

External Periodic Disturbing Force calculator uses External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period) to calculate the External Periodic Disturbing Force, The External periodic disturbing force formula is defined as a force between a part of a system and something outside the system. External Periodic Disturbing Force is denoted by F symbol.

How to calculate External Periodic Disturbing Force using this online calculator? To use this online calculator for External Periodic Disturbing Force, enter Static Force (Fx), Angular Velocity (ω) & Time Period (tp) and hit the calculate button. Here is how the External Periodic Disturbing Force calculation can be explained with given input values -> -8.961472 = 20*cos(10*1.2).

FAQ

What is External Periodic Disturbing Force?
The External periodic disturbing force formula is defined as a force between a part of a system and something outside the system and is represented as F = Fx*cos(ω*tp) or External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period). Static Force is a force that keeps an object at rest, 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 & Time Period is the time taken by a complete cycle of the wave to pass a point.
How to calculate External Periodic Disturbing Force?
The External periodic disturbing force formula is defined as a force between a part of a system and something outside the system is calculated using External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period). To calculate External Periodic Disturbing Force, you need Static Force (Fx), Angular Velocity (ω) & Time Period (tp). With our tool, you need to enter the respective value for Static Force, Angular Velocity & Time Period 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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