We wish to use dimensional analysis to determine an expression relating the torque $($dimension$$ML$2$T$2)$ produced by an automobile engine, the engine's rotation rate $($dimension$$T$1),$ the volume V of air displaced by the engine, and the air density $.$

Before doing any work, use Buckingham's Pi Theorem to determine the number of dimensionless products we expect to find.

Use dimensionless analysis to find the requested relation.