Question: The torque produced by an engine has dimensional formula L2M1T-2. We may first guess that it depends on the engine's rotation rate (with dimensional formula

The torque produced by an engine has dimensional formula L2M1T-2. We may first guess that it depends on the engine's rotation rate (with dimensional formula L0M0T-1), and the volume of air displaced (with dimensional formula L3M0T0).
(a) Try to find a complete set of dimensionless products. What goes wrong?
(b) Adjust the guess by adding the density of the air (with dimensional formula L-3M1T0). Now find a complete set of dimensionless products.

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a Setting L 2 M 1 T 2 p1 L 0 M 0 T 1 p2 L 3 M 0 T 0 p3 L 0 M 0 T 0 gives ... View full answer

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