Quadratic Equation Solver (ax² + bx + c = 0)
About Power Calculator (Physics)
The Mechanical & Kinematic Physics Power ($P = W/t$) Calculator computes the time rate of doing work, power from force and velocity ($P = F \cdot v = F v \cos\theta$), rotational engine shaft power ($P = \tau \cdot \omega = \frac{\tau \cdot \text{RPM}}{5252}$), and mechanical efficiency ($\eta = P_{out}/P_{in} \times 100\%$).
How to Use Power Calculator (Physics)
Step 1
Select Power Mode (Work/Time, Force/Velocity, Engine Torque/RPM, or Hydraulic Pump).
Step 2
Enter input values (torque, RPM, velocity, force, or time).
Step 3
Review computed power in Horsepower (hp), Watts (W), Kilowatts (kW), and ft-lbf/s.
Step 4
Click "Copy Mechanical Power".
Practical Use Cases for Power Calculator (Physics)
Automotive Engine Dyno Horsepower & Torque Sizing
Convert engine brake torque in lb-ft and RPM into brake horsepower (BHP) using the classic SAE formula $\text{HP} = (\text{Torque} \times \text{RPM}) / 5252$.
Elevator Hoist & Conveyor Belt Motor Power Sizing
Determine required motor wattage and mechanical lifting horsepower to hoist passenger elevators at specified climb velocities.
Input & Output Examples
Calculating Engine Horsepower from 350 lb-ft Torque at 6000 RPM
Torque ($\tau$): `350 lb-ft`, Engine Speed: `6000 RPM`
Mechanical Power: `399.85 Horsepower (hp)` | Kilowatts: `298.17 kW` | Work Rate: `219,911.49 ft-lbf/sec`
Key Features & Performance
- ✓Modes: Work over Time ($P = W/t$), Force and Velocity ($P = F v$), Rotational Engine Torque & RPM ($P = \tau \omega$), Fluid Pump Hydraulic Power ($P = Q \cdot \Delta P$).
- ✓Automotive Dyno Equations: exact horsepower calculations for internal combustion engines and electric vehicle motors.
- ✓Mechanical Efficiency Analyzer: computes thermal heat losses and wasted power ($P_{loss} = P_{in} - P_{out}$).
- ✓100% Client-Side physics engine.
- ✓1-Click Copy mechanical power specs.
Key Terminology & Definitions
Mechanical Power ($P$)
The rate at which work is performed or energy is converted over time ($P = dW/dt = F \cdot v$), measured in Watts ($1\text{ W} = 1\text{ J/s}$).
5252 Crossover Constant
The mathematical constant derived from $(33,000\text{ ft-lbf/min}) / (2\pi) \approx 5252.113$, where torque in lb-ft and horsepower are always numerically identical at 5,252 RPM.