AUTOMOTIVE

Automotive utilities

Geometry and arithmetic for vehicles: tire and wheel fitment, gearing and speed, engine displacement and compression, power, fuel economy and cost.

Vehicle calculations that are geometry or arithmetic, worked in the open: what a tire size change does to diameter, speedometer and gearing; whether a wheel’s offset will fit; an engine’s displacement and compression ratio from its dimensions; horsepower from torque; fuel economy in every unit and what a trip or a year of driving costs. Nothing here is a manufacturer’s rating or a rule of thumb — the figures you enter are the vehicle’s, and the pages say what they do not decide.

Automotive utilities

10 utilities

Tires & wheels2

  • Calculate

    Wheel Offset & Fitment

    Backspacing from width and offset, how far a new wheel’s inner and outer faces move (clearance and poke), and the bolt circle from the stud spacing.

    You get: The inner and outer change in millimetres when you swap wheels, both wheels’ backspacing, and the PCD measured from adjacent studs — geometry only, no fitment promise.

    Open Wheel Offset & Fitment
  • Calculate

    Tire Size & Comparison

    Tire diameter, sidewall, circumference and revs per mile from the size marking; compare two sizes for diameter change, ride height and speedometer error.

    You get: Both tires’ geometry side by side, the percent change in overall diameter, the change in ride height, and the true speed when the speedometer shows a given figure.

    Open Tire Size & Comparison

Engine4

  • Calculate

    Compression Ratio

    Static compression ratio from bore, stroke, chamber volume, head gasket, deck clearance and piston dish or dome — every volume shown, nothing assumed.

    You get: The swept and clearance volumes of one cylinder, the static ratio they give, the total displacement, and how a gasket, deck or dome change moves the ratio.

    Open Compression Ratio
  • Calculate

    Engine Displacement

    Engine displacement from bore, stroke and cylinders in cc, litres and cubic inches — or the bore or stroke that gives a target capacity; bore/stroke ratio.

    You get: Per-cylinder and total displacement in cc, L and in³ with exact conversion, the bore-to-stroke ratio, and the dimension needed to reach a target displacement.

    Open Engine Displacement
  • Calculate

    Horsepower, Torque & kW

    Power from torque and rpm, or torque from power, in hp, PS, kW, lbf·ft and N·m with exact NIST factors — the 5,252 relation worked in the open.

    You get: The matching power and torque at your rpm in every customary unit, from either one, with the conversion factors stated.

    Open Horsepower, Torque & kW
  • Calculate

    Injector Sizing

    Injector flow for a target horsepower from the BSFC you enter, injector count and the duty you allow; flow at another pressure; cc/min at your fuel density.

    You get: Total fuel flow and the static flow each injector must deliver, in lb/h and cc/min, plus what a rated injector flows at your pressure and the duty it would run.

    Open Injector Sizing

Gearing1

  • Calculate

    Gear Ratio, RPM & Speed

    Road speed at any rpm in every gear from tire diameter, gear ratios and final drive; rpm at a speed; the final drive that restores gearing after a tire change.

    You get: A per-gear table of overall ratio, speed at your rpm and rpm at your speed, km/h per 1,000 rpm, and the corrected final drive for a new tire size.

    Open Gear Ratio, RPM & Speed

Fuel & cost3

  • Calculate

    Fuel Economy & Converter

    Fuel economy from a fill-up (distance and fuel in any unit) and any figure converted between L/100 km, km/L, mpg (US) and mpg (UK) with exact factors.

    You get: One economy figure in all four units at once, from a trip or from a value you already have, with the US/UK gallon difference made explicit.

    Open Fuel Economy & Converter
  • Estimate

    Fuel & Trip Cost

    Fuel needed and its cost for a trip from distance, consumption in any unit and pump price; round trip, split between people, and per week, month and year.

    You get: Litres and cost for the journey, per person and per km or mile, and what the trip costs monthly and yearly when it repeats.

    Open Fuel & Trip Cost
  • Estimate

    Cost per Mile

    Cost of running a vehicle per mile or km from your own yearly figures: fuel, depreciation, insurance, tax, maintenance, parking and finance; nothing estimated.

    You get: The yearly total and its per-km, per-mile and per-day figure, with each cost line’s share, so you can see what actually drives the number.

    Open Cost per Mile