Domain Hub • Physics & Mechanics

Física y Mecánica Aplicada

Classical Newtonian kinematics, ballistics, electromagnetism, Ohm's law, fluid mechanics, and harmonic oscillation solvers.

⚡
Classical Kinematics • Ballistic Vector Matrix

Projectile Motion & Ballistic Trajectory Calculator

Calculate ballistic flight trajectory, maximum apogee height, total hang time, and horizontal ground range under gravitational acceleration.

⚡
Newtonian Mechanics • Kinetic Energy Matrix

Kinetic Energy & Linear Momentum Calculator

Calculate translational kinetic energy (Joules, ft-lbs), linear momentum, and relativistic velocity inversions from mass and velocity.

⚡
Electromagnetism • Four-Quadrant Ohm's Wheel

Ohm's Law & Electrical Power (PIVR) Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) with bidirectional four-quadrant PIVR inversions.

⚡
Continuum Mechanics • Density Invariant Matrix

Density, Mass & Volume Calculator

Calculate material density (ρ), total mass, and displacement volume with bidirectional inversions and material reference library.

⚡
Harmonic Oscillations • Pendulum Dynamics Matrix

Simple Pendulum Period & Harmonic Frequency Calculator

Calculate pendulum period (T), natural frequency (Hz), angular frequency (rad/s), and local gravitational acceleration (g).

⚡
Electric Mobility • EV Energy Economics

Electric Vehicle (EV) Charging Cost & Range Calculator

Calculate exact dollar cost to fully charge an electric car at home versus public DC fast chargers, cost per mile, and monthly charging expense.

⚡
Vehicle Dynamics • Safe Towing Matrix

Vehicle Towing Capacity & Tongue Weight Calculator

Calculate safe legal towing capacity, Gross Combined Weight Rating (GCWR), allowable trailer weight, and mandatory 10-15% tongue weight.

⚡
Truck Engineering • Payload GVWR Matrix

Truck Payload Capacity & Cargo Safety Margin Calculator

Calculate actual remaining payload capacity from Gross Vehicle Weight Rating (GVWR), curb weight, aftermarket accessories, and passenger weight.

⚡
Fuel Economy • Multi-Standard Metric Matrix

Gas Mileage (MPG / L/100km) & Fuel Cost Calculator

Calculate exact gas mileage in US MPG, Imperial MPG, and Liters per 100km, cost per mile, and annual fuel expense.

⚡
Tire Dynamics • Speedometer Calibration Matrix

Tire Size Comparison & Speedometer Error Calculator

Calculate tire diameter, sidewall height, revolutions per mile, and exact speedometer error when changing tire sizes.

⚡
Mechanical Power • Drivetrain Physics Matrix

Horsepower & Torque Conversion Calculator

Convert between rotational Torque (lb-ft or N·m) and Mechanical Horsepower (HP / kW) at any engine RPM, proving the 5,252 RPM crossover law.

⚡
Motorsports Dynamics • 1/4 Mile ET Matrix

Quarter-Mile Elapsed Time (ET) & Trap Speed Calculator

Calculate drag racing 1/4 mile elapsed time (ET) and finish trap speed from vehicle curb weight and wheel horsepower using the iconic Hale and Fox formulas.

⚡
Engine Building • Displacement Geometry

Engine Displacement & Cylinder Volume Calculator

Calculate total internal combustion engine displacement in Cubic Centimeters (cc), Liters (L), and Cubic Inches (CID) from bore, stroke, and cylinder count.

⚡
Combustion Engineering • Static CR Matrix

Engine Static Compression Ratio Calculator

Calculate static compression ratio (CR) from cylinder swept volume, combustion chamber cc, head gasket thickness/bore, and piston dome/dish volume.

⚡
Drivetrain Kinematics • Gear Speed Matrix

Transmission Gear Ratio & Vehicle Speed at RPM Calculator

Calculate vehicle road speed (MPH / km/h) at any engine RPM for each transmission gear, axle final drive ratio, and tire diameter.

⚡
Marine Engineering • Boat Fuel Matrix

Marine Boat Fuel Burn & Range Calculator

Calculate marine boat fuel burn rate in Gallons Per Hour (GPH), cruising range in nautical miles (NM), and fuel costs with safe reserves.

⚡
Flight Operations • Crosswind Component Matrix

Aviation Crosswind & Headwind Component Calculator

Calculate exact runway crosswind component and headwind/tailwind component from wind speed, wind direction, and magnetic runway heading.

⚡
Aviation Engineering • Climb Gradient Matrix

Aircraft Rate of Climb & Climb Gradient Calculator

Convert between Vertical Speed Rate of Climb (Feet Per Minute - FPM) and Climb Gradient in feet per nautical mile (ft/NM) and percent slope.

⚡
Off-Grid Power • Battery Capacity Matrix

RV & Marine Battery Amp Hour & Inverter Runtime Calculator

Calculate deep cycle battery runtime in hours from total appliance AC watt load, battery voltage, amp hour capacity, and depth of discharge (DoD).

⚡
Automotive Aesthetics • Vinyl Film Roll Matrix

Vehicle Vinyl Wrap Material & Roll Calculator

Calculate exact linear feet and square feet of vinyl wrap film required for full vehicle wraps, accounting for bumpers, roof, and 20% waste margin.

⚡
Accident Reconstruction • Braking Distance Matrix

Vehicle Braking & Stopping Distance Physics Calculator

Calculate total stopping distance in feet from initial speed, driver perception-reaction time, and road friction coefficient (dry, wet, snow, ice).

⚡
Fleet Maintenance • Lubrication Schedule Matrix

Motor Oil Change Interval & Maintenance Cost Calculator

Calculate optimal motor oil change intervals based on mileage, synthetic vs conventional oil, operating duty cycle, and annual maintenance budget.

⚡
RV Dynamics • Weight Distribution Matrix

RV Travel Trailer Tongue & Hitch Distribution Calculator

Calculate travel trailer hitch weight distribution, weight transfer to front steer axles, and prevention of trailer fishtailing.