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A torque curve is a plot of torque produced vs RPM, as measured on a dynamometer. It usually is not linear (a straight line).

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Why is the relationship between torque horsepower and RPM not linear In automobile terms.?

It is, Horsepower = Torque x RPM, but Torque is not constant across the rev range of an engine. For gasoline engines, there is generally very little torque at low rpms, generally flat torque across the middle rpms, and then a drop off as the engine starts spinning too fast for complete combustion. Electric engines, on the other hand, start off with maximum torque and decrease with higher engine speed. So, the short answer to your question is that it's a direct relationship between horsepower and torque, but the variation in the torque curve across the rpm range makes the resultant horsepower curve vary too. (If your question was really why does torque vary with rpm, simply stated it's because engines have varying efficiencies at different speeds.) It is, Horsepower = Torque x RPM, but Torque is not constant across the rev range of an engine. For gasoline engines, there is generally very little torque at low rpms, generally flat torque across the middle rpms, and then a drop off as the engine starts spinning too fast for complete combustion. Electric engines, on the other hand, start off with maximum torque and decrease with higher engine speed. So, the short answer to your question is that it's a direct relationship between horsepower and torque, but the variation in the torque curve across the rpm range makes the resultant horsepower curve vary too. (If your question was really why does torque vary with rpm, simply stated it's because engines have varying efficiencies at different speeds.)