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Work Done by Harmonic Force Formula

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Work Done is the energy transferred from one object to another through a force applied over a distance in mechanical vibrations. Check FAQs

w = π \cdot F h \cdot d \cdot \sin (Φ)

w - Work Done?F_h - Harmonic Force?d - Displacement of Body?Φ - Phase Difference?π - Archimedes' constant?

Work Done by Harmonic Force Example

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Here is how the Work Done by Harmonic Force equation looks like with Values.

Here is how the Work Done by Harmonic Force equation looks like with Units.

Here is how the Work Done by Harmonic Force equation looks like.

0.0935 = 3.1416 \cdot 2.5 \cdot 12.7793 \cdot \sin (1.2)

0.0935KJ = 3.1416 \cdot 2.5N \cdot 12.7793m \cdot \sin (1.2rad)

0.0935 = 3.1416 \cdot 2.5 \cdot 12.7793 \cdot \sin (1.2)

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Work Done by Harmonic Force Solution

Follow our step by step solution on how to calculate Work Done by Harmonic Force?

FIRST Step Consider the formula

w = π \cdot F h \cdot d \cdot \sin (Φ)

Next Step Substitute values of Variables

∴

w = π \cdot 2.5N \cdot 12.7793m \cdot \sin (1.2rad)

Next Step Substitute values of Constants

∴

w = 3.1416 \cdot 2.5N \cdot 12.7793m \cdot \sin (1.2rad)

Next Step Prepare to Evaluate

∴

w = 3.1416 \cdot 2.5 \cdot 12.7793 \cdot \sin (1.2)

Next Step Evaluate

∴

w = 93.5473333430695J

Next Step Convert to Output's Unit

∴

w = 0.0935473333430695KJ

LAST Step Rounding Answer

∴

w = 0.0935KJ

Work Done by Harmonic Force Formula Elements

Variables

Constants

Functions

Work Done

Work Done is the energy transferred from one object to another through a force applied over a distance in mechanical vibrations.

Symbol: w

Measurement: EnergyUnit: KJ

Note: Value can be positive or negative.

Formulas to find Work Done

Harmonic Force

Harmonic Force is the force that causes an object to vibrate at a specific frequency, resulting in oscillatory motion in mechanical systems.

Symbol: F_h

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Harmonic Force

Displacement of Body

Displacement of Body is the distance moved by an object from its mean position in a mechanical vibrating system, measured from a reference point.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

Phase Difference

Phase Difference is the difference in phase angle between two or more waves or vibrations, often used to analyze mechanical vibrations in systems.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Phase Difference

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other formulas in Elements of Vibration category

Go Displacement of Body in Simple Harmonic Motion

d = A' \cdot \sin (ω \cdot t sec)

Go Velocity of Body in Simple Harmonic Motion

V = A' \cdot ω \cdot \cos (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion

a = A' \cdot ω^{2} \cdot \sin (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

a = ω^{2} \cdot d

How to Evaluate Work Done by Harmonic Force?

Work Done by Harmonic Force evaluator uses Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference) to evaluate 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 evaluate Work Done by Harmonic Force using this online evaluator? To use this online evaluator for Work Done by Harmonic Force, enter Harmonic Force (F_h), Displacement of Body (d) & Phase Difference (Φ) and hit the calculate button.

FAQs on Work Done by Harmonic Force

What is the formula to find Work Done by Harmonic Force?

The formula of Work Done by Harmonic Force is expressed as Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference). Here is an example- 9.4E-5 = pi*2.5*12.77931*sin(1.2).

How to calculate Work Done by Harmonic Force?

With Harmonic Force (F_h), Displacement of Body (d) & Phase Difference (Φ) we can find Work Done by Harmonic Force using the formula - Work Done = pi*Harmonic Force*Displacement of Body*sin(Phase Difference). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Work Done by Harmonic Force be negative?

Yes, the Work Done by Harmonic Force, measured in Energy can be negative.

Which unit is used to measure Work Done by Harmonic Force?

Work Done by Harmonic Force is usually measured using the Kilojoule[KJ] for Energy. Joule[KJ], Gigajoule[KJ], Megajoule[KJ] are the few other units in which Work Done by Harmonic Force can be measured.

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Work Done by Harmonic Force Formula

Work Done by Harmonic Force Example

Work Done by Harmonic Force Solution

Work Done by Harmonic Force Formula Elements

Other formulas in Elements of Vibration category

How to Evaluate Work Done by Harmonic Force?

FAQs on Work Done by Harmonic Force

Variable Name