Calculate Work and Distance

Online calculator and formulas for calculating work, force and distance

Work, Force and Distance Calculator

Physical work

Calculates the relationship between Work (W), Force (F) and Distance (s) according to the formula W = F × s.

Result
Work:
Force:
Distance:

Example Calculation

Example: Calculate work
Problem:

A weight of 50 kg is moved with a constant force of 500 N over a distance of 10 m. How much work is performed?

Given:
  • Force F = 500 N
  • Distance s = 10 m
  • Find: Work W
Solution:
W = F × s
W = 500 N × 10 m
W = 5,000 J = 5 kJ
Practical Applications
Mechanical engineering: Calculation of work done by motors and drives
Construction: Work done by cranes and lifting equipment
Sports: Calculation of work performed during training

Formulas for work

The units of measurement are Joule (J) for work, Newton (N) for force and Meter (m) for distance or path.

Work from force and distance

The fundamental formula of mechanical work with constant force.

\[\displaystyle W=F \cdot s\]
Force from work and distance

Rearrangement of the basic formula to calculate the required force.

\[\displaystyle F=\frac{W}{s}\]
Distance from work and force

Calculation of the distance traveled with known work and force.

\[\displaystyle s=\frac{W}{F}\]
Important Notes
  • The formulas apply to constant force in the direction of movement
  • For variable force, integration over the path must be performed
  • Work is a scalar quantity (not a direction vector)
  • 1 Joule = 1 Newton × 1 Meter = 1 kg·m²/s²

Detailed description of physical work

Physical Fundamentals

This function calculates the relationship between work, force and distance. Physical work is a fundamental quantity in mechanics and describes energy transfer through a force over a certain distance.

Usage Instructions

To calculate, select which value should be calculated using the radio buttons. Then enter the required values and click the 'Calculate' button.

Application Areas

Engineering

Calculation of work done by machines, motors and mechanical systems. Important for efficiency calculations and energy balancing.

Physical Experiments

Evaluation of experiments for force measurement and energy conversion. Foundation for understanding mechanical processes.

Everyday Applications

Calculation of energy requirements when lifting loads, in sports or when determining fuel consumption of vehicles.


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