Consider the oil tank shown in figure. The manometer placed on top of the tank measures 50 kPa of pressure. Determine amplitude and center of application of the total pressure force applied to the square plug plate ( length edge=0.6 m) . Assume a reasonable value for the specific weight of oil at ambient temperature. Use both techniques of infinitesimals and volume prisms learned in class and show that they lead to the same results. Explain and comments all your steps.

The Super Soaker XP30 is a marvel of hydraulic dispersion weaponry. By pumping on the handle, you charge the chamber to high pressure. The pressure is maintained until you pull the trigger at which point the water (? = 1000 kg/m3) is released at high velocity.You have charged your pressure chamber to an absolute pressure of P1 = 697500 Pascals, much higher than today's outside air pressure of 101300 Pascals. The pressure chamber is location at a height of y1 = 0.103 meters above the exit point. The exit point has a small opening with radius r = 0.0033 meters.Determine all the following:The velocity at which the water exits the Super Soaker: v2 =  m/sThe mass flow rate through the exit:  kg/secThe volume flow rate through the exit:  m3/secNOTE: You may treat the water chamber as a "tank" and approximate the water velocity there to be zero.

If the PO2 is 100 mm Hg at one barometric pressure (760 mm Hg), what is the approximate PO2 if the pressure is increased to 1,520 mm Hg in a hyperbaric chamber?

3. Consider a hot-air balloon with fixed volume VB = 1.1 m³. The mass of the balloon envelope, whose volume is to be neglected in comparison to VB, is m̟ = 0.187 kg. The balloon shall be started, where the external air temperature is T1 = 20°C and the normal %3D

Consider the tank shown (Figure 2), where the specific weight of the water is yw = 9800 N/m³ and the specific weight of molasses is ym = 1.4x104 N/m³. What is the pressure at the bottom of the tank if h1 = 3.4 m and h2 = 3.7 m. Water h2 Molasses

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.

(1) A simple, vertical U-tube manometer is used to measure the differencebetween two gas pressures.Write down an equation for the pressure difference in terms of the difference inthe level of the fluid in the manometer. Describe briefly, with the help ofdiagrams, two modifications to the basic design which offer greater sensitivity tosmall pressure differences. Give equations for their use. ii) An extractor fan draws air from a room and delivers it to the surroundingsthrough a 5m long circular duct of diameter 0.1m. The friction coefficientfor the duct flow is 0.002. The fan characteristic, relating its total pressurerise, ∆P (Nm-2) to the volume flow rate is: ∆P = 103−7x104Q 2. What is therate of flow through the duct?You may assume that the room and surroundings are both at atmosphericpressure; state and justify any other assumptions you make.

an oil drum of 500 mm diameter and 1.5 long is to be rolled across a footstep of 100 mm high.find the minimum push required at the top of the drum.take density of the oil as 1kg/litre.neglect weight of the drum.

An underwater pipeline must be laid 40 meters deep. The density of sea water is 1 025 kg/m³. The pipe has a mass of 40 kg per meter and an outside diameter of 300 mm. The pipe must be anchored every 5 m to the bottom of the sea. (a) What will the vertical force be on each anchor if the 4.3 pipe is empty. (b) What external pressure must the pipe be able to withstand if it is not to be crushed. [1 592 N, 402,2 kPa]