🔬

Power Calculator

Science Free Instant Private
Science

### Physics of Power: Mechanical, Kinematic & Electrical Power quantifies how quickly energy is converted, transferred, or dissipated in physical systems. #### The Three Fundamental Formulations 1.

Reviewed by Ahmad Faraz · BSCS
Last updated:
Editorial Guidelines

⚙ Input Values

📊 Results

Primary Calculated Power
Calculated Power P = 500.00 Watts (0.500 kW / 0.67 hp)
Power in Watts (W)
500.00 W
Power in Kilowatts (kW)
0.500 kW
Mechanical Horsepower (hp)
0.671 hp
Metric Horsepower (PS)
0.68 PS
Thermal Rate (BTU/hr)
1,706.1 BTU/hr
Foot-Pounds per Second (ft·lbf/s)
368.78 ft·lbf/s
1-Hour Energy Transfer (kWh)
0.500 kWh
✦ Physical Power Analysis
Power Rate: 500.00 W (0.500 kW) = 0.671 Mechanical hp = 0.680 Metric PS. Transfer rate: 368.78 ft·lbf/s | Heat rate: 1,706 BTU/hr. In 1 hour of continuous output, system transfers 0.500 kWh of energy. Formula: P = 5,000 J / 10 s = 500.00 W.
Embed on Your Website

Copy and paste this code into your website.

<iframe src="https://calcusolve.com/calculator/power-calculator?embed=true" width="100%" height="600" frameborder="0" loading="lazy" title="Power Calculator"></iframe>

📐 Formula

Power (\(P\)) is the rate of doing work or transferring energy per unit time: Work Formula: P = (W ÷ t) = Joulesseconds Force-Velocity Formula: P = F × v = Newtons × meters/sec DC/RMS Formula: P = V × I = Volts × Amperes power unit conversions: - \(1 Watt (W) = 1 J/s = 1 N×m/s = 0.73756 ft×lbf/s\) - \(1 Horsepower (hp) = 745.69987 W = 550 ft×lbf/s\) - \(1 Kilowatt (kW) = 1,000 W = 1.34102 hp = 3,412.14 BTU/hr\)

💡 Practical Example

✅

For example, lifting a 500 N object a distance of 10 meters (5,000 Joules of work) in 10 seconds: \. In other units, this equals \(\mathbf{0.500\text{ kW}}\), \(\mathbf{0.6705\text{ hp}}\), \, and \.

📖 About Power Calculator

Physics of Power: Mechanical, Kinematic & Electrical

Power quantifies how quickly energy is converted, transferred, or dissipated in physical systems.

The Three Fundamental Formulations

  • Work over Time): Applicable in lifting loads, expanding gases in pistons, or thermodynamic cycles.
  • Force times Velocity): Used in vehicle dynamics, aerodynamic thrust, and conveyor belts.
  • Voltage times Current): Used in DC and single-phase unity power factor AC electrical circuits (Joule's law).

How to Use This Calculator

Enter your Physics Power Formula — choose from Mechanical Work over Time (P = W / t), Force & Velocity (P = F × v), Electrical DC / RMS (P = V × I), Work Done / Energy (Joules, J) (e.g. 5000), Time Interval (seconds) (e.g. 10), Force Applied (Newtons, N) (e.g. 250), Velocity (meters/sec, m/s) (e.g. 15), Voltage (Volts, V) (e.g. 120), and Current (Amperes, A) (e.g. 10). Verify your units match the formula standard (SI vs imperial) before entering values.

The Formula

Power (P) is the rate of doing work or transferring energy per unit time: Work Formula: P = (W) / (t) = (Joules) / (seconds) Force-Velocity Formula: P = F × v = Newtons × meters/sec DC/RMS Formula: P = V × I = Volts × Amperes power unit conversions:- 1 Watt (W) = 1 J/s = 1 N·m/s = 0.73756 ft·lbf/s- 1 Horsepower (hp) = 745.69987 W = 550 ft·lbf/s- 1 Kilowatt (kW) = 1,000 W = 1.34102 hp = 3,412.14 BTU/hr

Worked Example

For example, lifting a 500 N object a distance of 10 meters (5,000 Joules of work) in 10 seconds: . In other units, this equals 0.500 kW, 0.6705 hp, and .

Understanding Your Result

Energy unit conversions: 1 kWh = 3,600,000 J (3.6 MJ), 1 kcal (food calorie) = 4,184 J, 1 BTU = 1,055 J. Power benchmarks: LED bulb 8–10 W, laptop 15–60 W, desktop PC 200–500 W, hair dryer 1,000–1,800 W, electric vehicle charger (Level 2) 7,200 W. A 100W device running 10 hours uses 1 kWh. At 15 cents/kWh (US average), that's 0.

  • Energy efficiency is typically more cost-effective than energy generation — 1 unit of energy saved often costs 3–5× less than 1 unit generated.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

What is the formula for power in physics?

The primary physics formula is Power = Work / Time. In mechanics, Power = Force × Velocity. In electricity, Power = Voltage × Current.

What is the SI unit of power?

The SI unit of power is the Watt (symbol: W), which is equal to 1 Joule per second.

How do you calculate horsepower from Watts?

Divide the power in Watts by 745.7.

What is the difference between power and energy?

Energy is the capacity to do work (measured in Joules or kWh), while power is the rate at which energy is used per unit time (measured in Watts or horsepower).

How many Watts is 1 BTU per hour?

1 BTU/hr equals approximately 0.29307 Watts.

Try Other Calculators