External Periodic Disturbing Force Calculator

✖Static Force is the constant force applied to an object undergoing under damped forced vibrations, affecting its frequency of oscillations.ⓘ Static Force [F_x]			+10% -10%
✖Angular velocity is the rate of change of angular displacement over time, describing how fast an object rotates around a point or axis.ⓘ Angular Velocity [ω]			+10% -10%
✖Time Period is the duration of one cycle of oscillation in under damped forced vibrations, where the system oscillates about a mean position.ⓘ Time Period [t_p]			+10% -10%

✖External Periodic Disturbing Force is the force that causes vibrations in a system, resulting in oscillations at a specific frequency.ⓘ External Periodic Disturbing Force [F]

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External Periodic Disturbing Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period)
F = F_x*cos(ω*t_p)
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 the force that causes vibrations in a system, resulting in oscillations at a specific frequency.
Static Force - (Measured in Newton) - Static Force is the constant force applied to an object undergoing under damped forced vibrations, affecting its frequency of oscillations.
Angular Velocity - (Measured in Radian per Second) - Angular velocity is the rate of change of angular displacement over time, describing how fast an object rotates around a point or axis.
Time Period - (Measured in Second) - Time Period is the duration of one cycle of oscillation in under damped forced vibrations, where the system oscillates about a mean position.

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 = F_x*cos(ω*t_p) --> 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 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Mechanical » Frequency of Under Damped Forced Vibrations » External Periodic Disturbing Force

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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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< Frequency of Under Damped Forced Vibrations Calculators

Static Force using Maximum Displacement or Amplitude of Forced Vibration

LaTeX Go Static Force = Maximum Displacement*(sqrt((Damping Coefficient*Angular Velocity)^2-(Stiffness of Spring-Mass suspended from Spring*Angular Velocity^2)^2))

Static Force when Damping is Negligible

LaTeX Go Static Force = Maximum Displacement*(Mass suspended from Spring)*(Natural Frequency^2-Angular Velocity^2)

Deflection of System under Static Force

LaTeX Go Deflection under Static Force = Static Force/Stiffness of Spring

Static Force

LaTeX Go Static Force = Deflection under Static Force*Stiffness of Spring

External Periodic Disturbing Force Formula

LaTeX Go

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

What is Disturbing Force?

A disturbing force is an external force that disrupts the equilibrium of a system, causing it to oscillate or move away from its original position. This force can be periodic, such as in forced vibrations, or random, leading to changes in the system's motion or stability. Disturbing forces can arise from various sources, including mechanical impacts, environmental factors, or operational loads in machinery. Understanding these forces is crucial for analyzing the behavior of dynamic systems and designing for stability and resilience.

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, External Periodic Disturbing Force formula is defined as a measure of the external force that causes a vibrating system to oscillate at a specific frequency, often observed in under-damped forced vibrations, where the force is periodic and disturbs the system's natural frequency, leading to a complex vibrational pattern. 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 (F_x), Angular Velocity (ω) & Time Period (t_p) and hit the calculate button. Here is how the External Periodic Disturbing Force calculation can be explained with given input values -> 16.87708 = 20*cos(10*1.2).

FAQ

What is External Periodic Disturbing Force?

External Periodic Disturbing Force formula is defined as a measure of the external force that causes a vibrating system to oscillate at a specific frequency, often observed in under-damped forced vibrations, where the force is periodic and disturbs the system's natural frequency, leading to a complex vibrational pattern and is represented as F = F_x*cos(ω*t_p) or External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period). Static Force is the constant force applied to an object undergoing under damped forced vibrations, affecting its frequency of oscillations, Angular velocity is the rate of change of angular displacement over time, describing how fast an object rotates around a point or axis & Time Period is the duration of one cycle of oscillation in under damped forced vibrations, where the system oscillates about a mean position.

How to calculate External Periodic Disturbing Force?

External Periodic Disturbing Force formula is defined as a measure of the external force that causes a vibrating system to oscillate at a specific frequency, often observed in under-damped forced vibrations, where the force is periodic and disturbs the system's natural frequency, leading to a complex vibrational pattern is calculated using External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period). To calculate External Periodic Disturbing Force, you need Static Force (F_x), Angular Velocity (ω) & Time Period (t_p). 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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