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Work Formula

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Work is done when a force that is applied to an object moves that object. Check FAQs

W = F \cdot d \cdot \cos (θ FD)

W - Work?F - Force?d - Displacement?θ_FD - Angle between Force and Displacement Vector?

Work Example

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With units

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Here is how the Work equation looks like with Values.

Here is how the Work equation looks like with Units.

Here is how the Work equation looks like.

216.5064 = 2.5 \cdot 100 \cdot \cos (30)

216.5064J = 2.5N \cdot 100m \cdot \cos (30°)

216.5064 = 2.5 \cdot 100 \cdot \cos (30)

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Work Solution

Follow our step by step solution on how to calculate Work?

FIRST Step Consider the formula

W = F \cdot d \cdot \cos (θ FD)

Next Step Substitute values of Variables

∴

W = 2.5N \cdot 100m \cdot \cos (30°)

Next Step Convert Units

∴

W = 2.5N \cdot 100m \cdot \cos (0.5236rad)

Next Step Prepare to Evaluate

∴

W = 2.5 \cdot 100 \cdot \cos (0.5236)

Next Step Evaluate

∴

W = 216.50635094611J

LAST Step Rounding Answer

∴

W = 216.5064J

Work Formula Elements

Variables

Functions

Work

Work is done when a force that is applied to an object moves that object.

Symbol: W

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Work

Force

Force is a physical quantity that describes the interaction between objects resulting in a push or pull that can cause an object to accelerate or deform.

Symbol: F

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Force

Displacement

Displacement is a vector quantity that refers to how far out of place an object is, it is the object's overall change in position.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement

Angle between Force and Displacement Vector

The Angle between Force and Displacement Vector is the angle between the linear force vector and the displacement vector.

Symbol: θ_FD

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle between Force and Displacement Vector

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Work and Energy category

Go Potential Energy

PE = M \cdot g \cdot h

Go Kinetic Energy

KE = \frac{M \cdot v^{2}}{2}

How to Evaluate Work?

Work evaluator uses Work = Force*Displacement*cos(Angle between Force and Displacement Vector) to evaluate the Work, Work formula is defined as the measure of energy transferred from one object to another through a force applied over a distance, resulting in a change in the object's motion or position, with the direction of the force and distance being crucial factors in determining the amount of work done. Work is denoted by W symbol.

How to evaluate Work using this online evaluator? To use this online evaluator for Work, enter Force (F), Displacement (d) & Angle between Force and Displacement Vector (θ_FD) and hit the calculate button.

FAQs on Work

What is the formula to find Work?

The formula of Work is expressed as Work = Force*Displacement*cos(Angle between Force and Displacement Vector). Here is an example- 216.5064 = 2.5*100*cos(0.5235987755982).

How to calculate Work?

With Force (F), Displacement (d) & Angle between Force and Displacement Vector (θ_FD) we can find Work using the formula - Work = Force*Displacement*cos(Angle between Force and Displacement Vector). This formula also uses Cosine (cos) function(s).

Can the Work be negative?

Yes, the Work, measured in Energy can be negative.

Which unit is used to measure Work?

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

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Work Formula

Work Example

Work Solution

Work Formula Elements

Other formulas in Work and Energy category

How to Evaluate Work?

FAQs on Work

Variable Name