If you are seriously interested in automobiles and how they perform sooner or later you will need to deal with some sort of mathematics. All aspects of the automotive business involves mathematical equations. If you are working on engines, transmissions or suspension somehow you will need to work out a few formulas. Here are a few to help you get started.
Tires:
Rolling Radius of Wheel: Overall tire diameter -3% x Pi = Rolling Radius
Pi = 3.1415927
Loaded Radius of Tires: Tire Diameter / 2 = Loaded Radius
Tire Revs per Mile: 10084 / Loaded Radius of Tire = Tires Revs
Wheel Revs per Mile: 63360 / Rolling Radius = Wheel Revs
Rolling Radius of Wheel: Overall tire diameter -3% x Pi = Rolling Radius
Pi = 3.1415927
Loaded Radius of Tires: Tire Diameter / 2 = Loaded Radius
Tire Revs per Mile: 10084 / Loaded Radius of Tire = Tires Revs
Wheel Revs per Mile: 63360 / Rolling Radius = Wheel Revs
Speed:
Speed in Gear: RPM x overall Dia of Tire / overall Gear ratio x 336 = Speed of Car
RPM in Gear: MPH x Overall Gear Ratio x 336 / Overall Dia of Tire = RPM
Speed in Gear: RPM x overall Dia of Tire / overall Gear ratio x 336 = Speed of Car
RPM in Gear: MPH x Overall Gear Ratio x 336 / Overall Dia of Tire = RPM
Gears:
Overall Gear Ratios: Transmission Gear Ratio x Rearend Gear Ratio = Overall Ratio
Transmission Gear Ratio: Counter Drive Gear Tooth Count / Input Shaft Gear Tooth Count x Mainshaft Gear Tooth Count / Counter Drive Gear Tooth Count = Gear Ratio
Overall Gear Ratios: Transmission Gear Ratio x Rearend Gear Ratio = Overall Ratio
Transmission Gear Ratio: Counter Drive Gear Tooth Count / Input Shaft Gear Tooth Count x Mainshaft Gear Tooth Count / Counter Drive Gear Tooth Count = Gear Ratio
Engine Displacement:
Displacement in cc: Pi / 4 x Bore x Bore x Stroke x number of Cylinders / 1000 = Displacement
Pi / 4 = 0.7853982
Pi = 3.1415927
Cylinder Volume: Pi / 4 x Bore x Bore x Stroke = Volume of a single cylinder in an engine
Displacement in cc: Pi / 4 x Bore x Bore x Stroke x number of Cylinders / 1000 = Displacement
Pi / 4 = 0.7853982
Pi = 3.1415927
Cylinder Volume: Pi / 4 x Bore x Bore x Stroke = Volume of a single cylinder in an engine
Compression Ratio:
Calculating Compression Ratio: Cylinder Volume + Cylinder Head Chamber Volume / Chamber Volume = Compression Ratio
Calculating Compression Ratio: Cylinder Volume + Cylinder Head Chamber Volume / Chamber Volume = Compression Ratio