there are probably many ways. rack and pinion, even a roller or wheel on a board or flat surface. a string wound around a pulley even a crankshaft and con rod to some extent does.
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They need to convert rotational motion to motion of some other form - usually linear motion. That can only be accomplished through the use of specific irregular shapes.
There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.
To convert linear yards to square yards, you need to know the width of the material in yards. Once you have the width, you can multiply the linear yards by the width to get the square yards. The formula to convert linear yards to square yards is: Square Yards = Linear Yards x Width. Make sure to use consistent units for accurate conversion.
Because you have been informed wrongly. It is impossible to convert square metres to linear metres.
It does not matter because they are equivalent. You can always convert from a slope-intercept form to a standard linear form (and vice versa).