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Q4. A 5 m long tube has an external diameter of 13 mm and a 1.5 mm wall thickness.

It is coiled into a helical spring with a mean diameter of 150 mm. The spring is positioned within a cylinder to oppose the motion of a 200 mm diameter piston. During operation the effective pressure on the piston is 0.105 bar.

Calculate EACH of the following:

(a) the angle of twist in the spring material at this effective pressure. (14)

(b) the corresponding strain energy stored within the spring. (2)

Note: Modulus of Rigidity for the spring material= 103 GN/m²