Work Calculator

✖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.ⓘ Force [F]			+10% -10%
✖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.ⓘ Displacement [d]			+10% -10%
✖The Angle between Force and Displacement Vector is the angle between the linear force vector and the displacement vector.ⓘ Angle between Force and Displacement Vector [θ_FD]			+10% -10%

✖Work is done when a force that is applied to an object moves that object.ⓘ Work [W]

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Work Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work = Force*Displacement*cos(Angle between Force and Displacement Vector)
W = F*d*cos(θ_FD)
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

Work - (Measured in Joule) - Work is done when a force that is applied to an object moves that object.
Force - (Measured in Newton) - 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.
Displacement - (Measured in Meter) - 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.
Angle between Force and Displacement Vector - (Measured in Radian) - The Angle between Force and Displacement Vector is the angle between the linear force vector and the displacement vector.

STEP 1: Convert Input(s) to Base Unit

Force: 2.5 Newton --> 2.5 Newton No Conversion Required
Displacement: 100 Meter --> 100 Meter No Conversion Required
Angle between Force and Displacement Vector: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = F*d*cos(θ_FD) --> 2.5*100*cos(0.5235987755982)

Evaluating ... ...

W = 216.50635094611

STEP 3: Convert Result to Output's Unit

216.50635094611 Joule --> No Conversion Required

FINAL ANSWER

216.50635094611 ≈ 216.5064 Joule <-- Work

(Calculation completed in 00.007 seconds)

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Home » Physics » Kinematics and Dynamics » Basic Physics » Mechanics » Work and Energy » Work

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< Work and Energy Calculators

Work

LaTeX Go Work = Force*Displacement*cos(Angle between Force and Displacement Vector)

Potential Energy

LaTeX Go Potential Energy = Mass*Acceleration due to Gravity*Height

Kinetic Energy

LaTeX Go Kinetic Energy = (Mass*Velocity^2)/2

Work Formula

LaTeX Go

Work = Force*Displacement*cos(Angle between Force and Displacement Vector)
W = F*d*cos(θ_FD)

What is Work done?

Work done is the measure of energy transfer when a force moves an object over a distance, it is calculated as the product of the force applied and the displacement in the direction of the force.

How to Calculate Work?

Work calculator uses Work = Force*Displacement*cos(Angle between Force and Displacement Vector) to calculate 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 calculate Work using this online calculator? To use this online calculator for Work, enter Force (F), Displacement (d) & Angle between Force and Displacement Vector (θ_FD) and hit the calculate button. Here is how the Work calculation can be explained with given input values -> 216.5064 = 2.5*100*cos(0.5235987755982).

FAQ

What is 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 and is represented as W = F*d*cos(θ_FD) or Work = Force*Displacement*cos(Angle between Force and Displacement Vector). 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, 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 & The Angle between Force and Displacement Vector is the angle between the linear force vector and the displacement vector.

How to calculate 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 is calculated using Work = Force*Displacement*cos(Angle between Force and Displacement Vector). To calculate Work, you need Force (F), Displacement (d) & Angle between Force and Displacement Vector (θ_FD). With our tool, you need to enter the respective value for Force, Displacement & Angle between Force and Displacement Vector 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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