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Q7 An engine cylinder has a compression ratio (r) of 7.5, a clearance volume of 35 cm³ and a piston stroke length of 325 mm. What is the bore diameter in millimetres (mm) for the engine cylinder to the nearest mm.

An engine cylinder has a compression ratio (r) of 7.5, a clearance volume of 35 cm3 and a piston stroke length of 325 mm. What is the bore diameter in millimetres (mm) for the engine cylinder to the nearest mm.

In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 7.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as 0 = 2.10t? - 0.800r where 0 is in radians and t is in seconds. (a) Find the maximum angular speed of the roller. rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? m/s (c) At what time t should the driving force be removed from the roller so that the roller does not reverse its direction of rotation? |s (d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)? | rotations