REAL-LIFE RACING GEARS

Understand that F1 teams can use between 4 and 7 forward gears, plus reverse, and adjust every gear ratio and the final drive gear.

The objective is to find optimum gears that allow a driver to maintain the engine within its powerband at all times.

Consider track characteristics: Hockenheim, a fast circuit with speeds around 230 mph, is largely flat out (wide open throttle driving) but includes a twisty section demanding quick acceleration over top speed.

For such a track, a solution is to use a short gear set for 1st through 3rd or 4th gears, with ratios gradually increasing.

The top gears should have moderately longer ratios, with 7th gear being long enough for constant acceleration without peaking, but short enough to nearly reach peak on the longest straight.

Mathematically calculate speed: Divide engine's maximum RPM (e.g., 18,000 in a modern F1 car) by the gear ratio (e.g., 3.00) to find drive pin turns at maximum RPM.

Divide this number by the final drive ratio (e.g., 3.000) to get turns of the half-shafts.

Multiply half-shaft turns by wheel circumference (calculated from tire diameter, e.g., 20 inches, using pi * diameter) to determine mph. For a 20-inch diameter tire, circumference is approximately 62.83 inches per revolution.

At max RPMs in a gear with a 3.00 ratio and 3.000 final drive, with a 20-inch tire, the car covers 125663.706 inches per minute, equating to approximately 118.999 mph.

Note that 1st gear ratios are typically higher (e.g., 6.000 or higher), meaning shorter gears for better acceleration from a standstill.

Teams use calculated speeds to determine subsequent gear ratios. For instance, if a gear yields 119 mph at 18,000 RPM, a gear twice as tall (1.500 ratio) would achieve the same speed at half the RPM (9,000).

If an F1 engine's powerband is between 13,000 and 18,000 RPM, a 1.500 gear ratio might not be ideal, as shifting down to 9,000 RPM would drop the car below the powerband.