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Reciprocating motion, also called reciprocation, is a repetitive up-and-down or back-and-forth motion. It is found in a wide range of mechanisms, including reciprocating engines and pumps. The two opposite motions that comprise a single reciprocation cycle are called strokes.[citation needed]
A crank can be used to convert circular motion into reciprocating motion, or conversely turn reciprocating motion into circular motion.
For example, inside an internal combustion engine (a type of reciprocating engine), the expansion of burning fuel in the cylinders periodically pushes the piston down, which, through the connecting rod, turns the crankshaft. The continuing rotation of the crankshaft drives the piston back up, ready for the next cycle. The piston moves in a reciprocating motion, which is converted into circular motion of the crankshaft, which ultimately propels the vehicle or does other useful work. The vibrations felt when the engine is running are a side effect of the reciprocating motion of the pistons.
Reciprocating motion is clearly visible in early steam engines, particularly horizontal stationary engines and outside-cylindered steam locomotives, as the crank and connecting-rod usually are not enclosed.
Mathematically, reciprocating motion is approximately sinusoidal simple harmonic motion. Technically, however, the reciprocating motion produced by a rotating crank departs slightly from simple harmonic motion due to the changing angle of the connecting rod during the cycle.
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