The basic component of a pressure gage tester consists of a piston-cylinder apparatus as shown. The piston, \(6 \mathrm{~mm}\) in diameter, is loaded to develop a pressure of known magnitude. The piston length is \(25 \mathrm{~mm}\). Calculate the mass, \(M\), required to produce 1.5 MPa gage in the cylinder. Determine the leakage flow rate as a function of radial clearance, \(a\), for this load if the liquid is SAE 30 oil at \(20^{\circ} \mathrm{C}\). Specify the maximum allowable radial clearance so the vertical movement of the piston due to leakage will be less than \(1 \mathrm{~mm} / \mathrm{min}\).