Calculate the thickness of the diaphragm, Mechanical Engineering

A pressure transducer uses a probe to measure the deflection of a thin circular diaphragm, clamped at its periphery and having a rigid seat at its centre to eliminate curvature in line with the probe. Calculate the thickness of the diaphragm if the probe can measure 0-0.25mm and the range of the pressure transducer is to be 0-0.5 MN/m^2. Young's modulus and Poisson's ratio for the diaphragm material are 207GN/m^2 and 0.3 respectively.

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