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Q7.  A reciprocating engine runs at 110 rpm with a stroke of 1.6 m and a connecting rod 2.4 m in length. It imparts simple harmonic motion to a 250 mm diameter piston. When the crank pin is 32^o beyond top dead centre the pressure on the piston is 0.8 MN/m².

Calculate EACH of the following:

a) The instantaneous velocity of the piston. (6)

(b) The instantaneous torque at the crank pin. (8)

(c) The instantaneous acceleration of the piston. (2)