Two sections, A and B, are 5 kilometers apart along an old, 3-meter-diameter riveted-steel pipe. A is 125 meters higher than B. The water temperature is 20 degrees Celsius, and the pressure heads measured at A and B are 7.5 meters and 78.7 meters, respectively. Assume that minor losses are negligible.

a) Determine the flow rate through the pipe using the Darcy-Weisbach Equation.

b) Determine the flow rate through the pipe using the Hazen-Williams Equation.

c) Determine the flow rate through the pipe using the Manning’s Equation.

d) Compare the results.

Hint: Consider what effect the condition of the pipe will have when deciding on the appropriate roughness and coefficients.

Amass of m 1.5 kg of steam is contained in a closed rigid container. initially the pressure and temperature of the steam are: p 1.5 mpa and t 240°c (superheated state), respectively. then the temperature drops to t2= 100°c as the result of heat transfer to the surroundings. determine: a) quality of the steam at the end of the process, b) heat transfer with the surroundings. for: p1.5 mpa and t 240°c: enthalpy of superheated vapour is 2900 kj/kg, specific volume of superheated vapour is 0. 1483 m/kg, while for t 100°c: enthalpy of saturated liquid water is 419kj/kg, specific volume of saturated liquid water is 0.001043m/kg, enthalpy of saturated vapour is 2676 kj/kg, specific volume of saturated vapour is 1.672 m/kg and pressure is 0.1 mpa.

At 12 noon, the count in a bacteria culture was 400; at 4: 00 pm the count was 1200 let p(t) denote the bacteria cou population growth law. find: (a) an expression for the bacteria count at any time t (b) the bacteria count at 10 am. (c) the time required for the bacteria count to reach 1800.

Shafts are machine elements that are used to a) carry axial loads b) direct shear loads c) transmit power d) rotate at constant speed e) none of the above circular and square shafts subjected to the same torque under the same circum behave a) the same way b) almost the same way