The U pipe in the figure has a diameter of 1 cm and stands in balance as shown in the figure. When 20 cm3 of water is added to the right arm and they come back to equilibrium, calculate the fluid levels in each arm. Take the relative density of mercury as 13.6 and the density of water as 1000 kg / m3.

The manometer pressure at pipe A is about 30mmHg and the initial differential reading of Mercury is 0.30 m as shown.Calculate the absolute pressure at pipe B.

A bicycle tire pump has a piston with area 0.44 inches squared. If a person exerts a force of 30 lb on the piston while inflating the tire, what pressure does this produce on the air in the pump? Give your answer in psi.

The device shown is the buoyancy measurement device used to measure the liquid height change. A pressure sensor is installed at the bottom of the tank, and a force sensor is installed to measure the upward force on the horizontal lever. The distances to the pivot point from the force sensor and cylinder are X1 and X2, respectively.  The reference pressure at the reference liquid height, h0, to the bottom of the cylinder is pref. (4) If the force measured by the force sensor is Fsensor = 7.53 N, X1 = 1.58 m, X2 = 0.17 m, the diameter of the cylinder is D = 0.05 m,  and the specific weight of the liquid is γf = 8.70 kN/m3, calculate the liquid height difference, Δh, relative to the reference height h0. __________ m.