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Work Done by Harmonic Force Calculator

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Elements of Vibration Forced Vibration Free Vibration of Single DOF Undamped Torsional System Undamped Free Vibration

✖Harmonic Force is the force that causes an object to vibrate at a specific frequency, resulting in oscillatory motion in mechanical systems.ⓘ Harmonic Force [F_h]			+10% -10%
✖Displacement of Body is the distance moved by an object from its mean position in a mechanical vibrating system, measured from a reference point.ⓘ Displacement of Body [d]			+10% -10%
✖Phase Difference is the difference in phase angle between two or more waves or vibrations, often used to analyze mechanical vibrations in systems.ⓘ Phase Difference [Φ]			+10% -10%

✖Work Done is the energy transferred from one object to another through a force applied over a distance in mechanical vibrations.ⓘ Work Done by Harmonic Force [w]

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Work Done by Harmonic Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference)
w = pi*F_h*d*sin(Φ)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Work Done - (Measured in Joule) - Work Done is the energy transferred from one object to another through a force applied over a distance in mechanical vibrations.
Harmonic Force - (Measured in Newton) - Harmonic Force is the force that causes an object to vibrate at a specific frequency, resulting in oscillatory motion in mechanical systems.
Displacement of Body - (Measured in Meter) - Displacement of Body is the distance moved by an object from its mean position in a mechanical vibrating system, measured from a reference point.
Phase Difference - (Measured in Radian) - Phase Difference is the difference in phase angle between two or more waves or vibrations, often used to analyze mechanical vibrations in systems.

STEP 1: Convert Input(s) to Base Unit

Harmonic Force: 2.5 Newton --> 2.5 Newton No Conversion Required
Displacement of Body: 12.77931 Meter --> 12.77931 Meter No Conversion Required
Phase Difference: 1.2 Radian --> 1.2 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = pi*F_h*d*sin(Φ) --> pi*2.5*12.77931*sin(1.2)

Evaluating ... ...

w = 93.5473333430695

STEP 3: Convert Result to Output's Unit

93.5473333430695 Joule -->0.0935473333430695 Kilojoule (Check conversion here)

FINAL ANSWER

0.0935473333430695 ≈ 0.093547 Kilojoule <-- Work Done

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< Elements of Vibration Calculators

Velocity of Body in Simple Harmonic Motion

LaTeX Go Velocity of Body = Vibrational Amplitude*Angular Velocity*cos(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion

LaTeX Go Acceleration = Vibrational Amplitude*Angular Velocity^2*sin(Angular Velocity*Time in seconds)

Displacement of Body in Simple Harmonic Motion

LaTeX Go Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds)

Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

LaTeX Go Acceleration = Angular Velocity^2*Displacement of Body

Work Done by Harmonic Force Formula

LaTeX Go

Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference)
w = pi*F_h*d*sin(Φ)

What is Simple Harmonic Motion?

Simple harmonic motion is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position.

How to Calculate Work Done by Harmonic Force?

Work Done by Harmonic Force calculator uses Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference) to calculate the Work Done, Work Done by Harmonic Force formula is defined as the energy transferred when a harmonic force is applied to an object, resulting in its displacement from its equilibrium position, and is a crucial concept in understanding the dynamics of mechanical vibrations. Work Done is denoted by w symbol.

How to calculate Work Done by Harmonic Force using this online calculator? To use this online calculator for Work Done by Harmonic Force, enter Harmonic Force (F_h), Displacement of Body (d) & Phase Difference (Φ) and hit the calculate button. Here is how the Work Done by Harmonic Force calculation can be explained with given input values -> 9.4E-5 = pi*2.5*12.77931*sin(1.2).

FAQ

What is Work Done by Harmonic Force?

Work Done by Harmonic Force formula is defined as the energy transferred when a harmonic force is applied to an object, resulting in its displacement from its equilibrium position, and is a crucial concept in understanding the dynamics of mechanical vibrations and is represented as w = pi*F_h*d*sin(Φ) or Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference). Harmonic Force is the force that causes an object to vibrate at a specific frequency, resulting in oscillatory motion in mechanical systems, Displacement of Body is the distance moved by an object from its mean position in a mechanical vibrating system, measured from a reference point & Phase Difference is the difference in phase angle between two or more waves or vibrations, often used to analyze mechanical vibrations in systems.

How to calculate Work Done by Harmonic Force?

Work Done by Harmonic Force formula is defined as the energy transferred when a harmonic force is applied to an object, resulting in its displacement from its equilibrium position, and is a crucial concept in understanding the dynamics of mechanical vibrations is calculated using Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference). To calculate Work Done by Harmonic Force, you need Harmonic Force (F_h), Displacement of Body (d) & Phase Difference (Φ). With our tool, you need to enter the respective value for Harmonic Force, Displacement of Body & Phase Difference 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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