An inclined manometer is a useful device for measuring small pressure differences. The formula given in Section 3.4 for the pressure difference in terms of the liquid-level difference h remains valid, but while h would be small and difficult to read for a small pressure drop if the manometer were vertical, L can be made quite large for the same pressure drop by making the angle of the inclination, ?, small

(a) Derive a formula for h in terms of L and ?.

(b) Suppose the manometer fluid is water, the process fluid is a gas, the inclination of the manometer is ? = 15o, and a reading L = 8.7 cm is obtained. What is the pressure difference between points 1 and 2?

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