A torque curve is a plot of torque produced vs RPM, as measured on a dynamometer. It usually is not linear (a straight line).
a linear curve does not represent x^2
The production possibility curve is not always linear, in fact, it is usually concave down (bowed-in). The shape of the curve depends on the substutability of the goods described by the curve in the question. When goods are perfectly substitutable in production, the PPP (or PPF) is linear.
Example of a Linear Demand Curve
A Linear Demand Curve Diagram is a diagram that shows how an object or person is shown from youngest to oldest or tallest to shortest
Is negatively sloped linear curve
Along a linear demand curve elasticity varies from point to point of the demand curve with respect to different price, but slope is constant
It is a local maximum for a non-linear curve, which may be a periodic curve.
mass
Linear is a straight line and non linear could be a curve or anything but a straight line
Linear torque typically refers to the torque generated in a linear motion system, where a force is applied to produce rotational motion around an axis. It is often associated with linear actuators or mechanisms that convert linear force into rotational motion. In this context, torque is calculated as the product of the applied force and the distance from the pivot point to the line of action of the force. This concept is essential in applications involving gears, levers, and other mechanical systems.
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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.)