Work Calculator

Formula

To calculate the Work:

\[ \text{W} = \text{F} \times \text{D} \]

Where:

\( \text{W} \) is the work (Joules)
\( \text{F} \) is the force (Newtons)
\( \text{D} \) is the displacement (meters)

Alternatively, when force is applied at an angle:

\[ \text{W} = \text{F} \times \text{D} \times \cos(\theta) \]

Where:

\( \theta \) is the angle of force applied relative to the displacement of the object

What is Work?

Work is the total amount of energy exerted on an object or system through some force over a distance. The SI unit of work is the joule (J). The SI units for force and distance (displacement) are Newtons (N) and meters (m), respectively.

Example Calculation 1

Let's assume the following values:

Force \( \text{F} \) = 10 N
Displacement \( \text{D} \) = 5 m

Step 1: Calculate the work:

\[ \text{W} = 10 \times 5 = 50 \text{ J} \]

So, the Work is 50 Joules.

Example Calculation 2

Let's assume the following values:

Force \( \text{F} \) = 10 N
Displacement \( \text{D} \) = 5 m
Angle \( \theta \) = 30°

Step 1: Calculate the work:

\[ \text{W} = 10 \times 5 \times \cos(30°) \approx 10 \times 5 \times 0.866 = 43.3 \text{ J} \]

So, the Work is approximately 43.3 Joules.