Liquid pressure The pressure P acting at a point in a liquid is directly proportional to the distance d from the surface of the liquid to the point. (a) Express P as a function of d by means of a formula that involves a constant of proportionality k. (b) In a certain oil tank, the pressure at a depth of 2 feet is 118 Ib/ft. Find the value of k in part (a).

The Earth's atmosphere at sea level and under normal conditions has a pressure of 1.01x105 Pa, which is due to the weight of the air above the ground pushing down on it. How much force due to this pressure is exerted on the roof of a building whose dimensions are 10.2 m long and 14.5 m wide?

Balloon angioplasty is a technique to restore blood flow through coronary arteries that have been narrowed by the build-up of plaque. The surgeon threads a catheter into the coronary artery, then inflates a balloon that compresses the plaque against the wall of the artery. Suppose a diseased coronary artery has a diameter of 2.0 mm. To what diameter must it be expanded to increase the blood flow by a factor of 5.0 with no change in pressure?

A smoking room is to accommodate 50 smokers. The fresh air requirement for smoking areas is specified to be 40 L/s per person. The air velocity in the ventilation duct is 8 m/s. Determine: b) The diameter of the ventilation duct in [cm] SOLUTION