Calculate Power, Force, Distance and Time
Online calculator and formulas for calculating power, force, distance and time
Power Calculator
Calculate mechanical power
Calculates the relationship between Power (P), Force (F), Distance (s) and Time (t). Mechanical power is work per unit time.
Example Calculation
Example: Crane lifts load
Problem:
A crane lifts a load of 1000 kg (equivalent to 9810 N) over a height of 10 m in 20 seconds. What mechanical power is required?
Given:
- Force F = 9810 N (weight force of the load)
- Distance s = 10 m (lifting height)
- Time t = 20 s
- Find: Power P
Solution:
Practical Applications
Time Input Tips
Flexible time input:
- 2:14'10 → 2 h, 14 min, 10 s
- 2:0 → 2 h
- 2:14 → 2 h, 14 min
- 2:00'18 → 2 h, 18 s
- 2'18 → 2 min, 18 s
- 45 → 45 s
Formulas for power, force, distance and time
The mechanical power describes how fast work is performed. The units of measurement are Newton (N) for force, Watt (W) for power, Meter (m) for distance and Seconds (s) for time.
Calculate power
Basic formula for mechanical power from force, distance and time.
Calculate force
Rearrangement to calculate the required force.
Calculate distance
Rearrangement to calculate the distance traveled.
Calculate time
Rearrangement to calculate the required time.
Important Notes
- Mechanical power is work per unit time: P = W/t
- Work is the product of force and distance: W = F × s
- 1 Watt = 1 Joule/second = 1 Nm/s
- Time can be entered in various formats (s, min:s, h:min's)
Detailed description of mechanical power
Physical Fundamentals
This function calculates the relationship between power, force, distance and time. Mechanical power describes how fast mechanical work is performed.
Usage Instructions
To calculate, select which value should be calculated using the radio buttons. Then enter the required values and click the 'Calculate' button. Time can be flexibly entered in various formats.
Application Areas
Mechanical Engineering
Cranes, elevators, conveyor belts, presses, hydraulic systems. Dimensioning of drives and motors.
Automotive Engineering
Engine power, acceleration capability, hill climbing performance. Calculation of driving performance and energy consumption.
Sports Science
Training power, energy consumption, performance diagnostics. Analysis of athletic performance and endurance.
Understanding Power Comparisons
Mechanical power is present everywhere in everyday life. Here are some practical comparisons:
Human
Continuous power: ~75 W
Peak power: ~400 W
Climbing stairs: ~200 W
Vehicles
E-bike motor: ~250 W
Small car: ~50 kW
Truck: ~300 kW
Machines
Home elevator: ~3 kW
Construction crane: ~50 kW
Ship crane: ~1000 kW
Insight: The required power increases significantly with the mass to be moved and the desired speed!
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