Why is gravity considered in the torque?

Q1 (a)0.5 kg of water is contained in a rigid vessel at a temperature of 125oC and a pressure of 232.1 kPa. The specific enthalpy is 1050 kJ•kg-1. Which of the following could also be correct?

(A) v = 0.001065 m3 •kg-1 (B) v = 0.7706 m3 •kg-1 (C) x = 0.24 (D) x = 0.5

(b).0.020 kg of air, initially at 20oC is compressed in a perfectly insulated and sealed cylinder which is fitted with a moveable piston. A mean force of 1000 N was applied to the piston as it moved through a displacement of 100 mm to compress the gas. The final temperature of the gas after compression will be?

(A) 27oC (B) 20oC (C) 30oC (D) 13oC

(c). 0.8857 m3 of H2O is stored in a rigid vessel at 200 kPa, 125oC. Is this?

(A) Sub-cooled liquid ? (B) Saturated liquid ? (C) Saturated vapour ? (D) Superheated vapour ?

This chapter applies the energy equation to a pipe flow system. You need to be

able to identify (draw) a control volume for the analysis for the pipeline.

The entrance length can be significant when the pipe length is not relatively long.

How do you determine the entry length and how it compares to the total pipe

length? If the entry length is ignored what does that do the accuracy of the

predicted pressure drop, is it too high or too low?

Look at Table 5.2 – read over the often used nondimensional groups. No need to

memorize these but they might provide a guide as to what Pi groups should

appear in a problem

A particle travelS along the circular path from A to B in 1s. If it takeS 3S for it to go from A to C. Determine Its average velocity when it goes from B to C.

A major retail firm is considering a major change in its distribution system. It is considering relocating its distribution centers such that all retail stores can be replenished within 24 hours of a request for merchandise.

The table below is a matrix of cover coefficients for 10 stores and 10 potential sites for distribution centers. If store i can be replenished within 24 hours from site j, then a_ij=1; otherwise a_ij=0. The cost of installation of the distributions centers vary from zone to zone and are given in the DC cost row. The firm wants to find the optimal location of the distribution centers.  

1-Provide a mathematical formulation of above model

2-Provide a mathematical formulation given a budget restriction of 300.

3-Provide a mathematical formulation given a coverage target more than 85% (firms wants to cover at least 85% of the stores)

3-Solve the 3 models using Lindo/Excel Solver or any optimization software you know

Consider the following schematic for an experiemental methodology to measure the convection heat transfer coefficient distrubution on an airfoil. The metal sheathing is supplied with a heat generation rate of 20 * 10⁶ W/m³. The thickness of the metal sheathing is t = 30 um, and the sheathing's thermal conductivity is k=25 W/mK. The 30 surface locations where the temperatures are measured are spaced evenly at 2mm apart. The measured temperatures are listed in the table below.

Accounting for conduction in the metal sheathing, detemine the convection heat transfer coefficients at the 30 numbered locations.

A proposed water tank on the sixth floor (roof top) of the UTPA administration building would be used to supply pressurized water for the campus. A pump fills the tank at a rate of 15.6 kg/s. What size motor (hp) is needed to operate the pump given the data below? The motor size (hp) must be 20% greater than the required pump work. Note: Give the motor size as a positive value. The pump includes the riser pipe to the tank. There is no heat transfer from the pump to the surroundings (i.e., adiabatic conditions).

Pump Inlet Temperature = 20oC Pump

Inlet Pressure = 192 kPa

Pump Inlet Diameter = 11.7 cm

Pump Inlet Elevation = 24.7 m

Pump Exit Temperature = 20oC

Pump Exit Pressure = 269 kPa

Pump Exit Diameter = 5.4 cm

Pump Exit Elevation = 49.7 m

correct answer: 8.65 ± 5%

MFGE 336 Production Engineering

1.  List and describe the 2 mainly utilized locating methods

2. What are the three fundamental categories of workpiece location?

Please answer both question

Indicate the most appropriate viscoelastic property to be considered for the following applications:

Heat build-up during tensile fatigue of a polyethylene

Tire flatspotting

Optimal noise abatement characteristics of a machinery mount

Energy stored in a polymer after a creep test in shear

Monitoring the rate of cure of an epoxy resin

A single-dwell cam will do the following profile: rise 5 inches for 90 degree, return 5 inches for 90 degree, dwell 180 degree. Generate the displacment, velocity, acceleration, and jerk curves three times using simple harmonic, cycloidal, and eighth order polynomials for both rise and return. Discuss which result is best given your analysis of the three sets of acceleration and jerk curves.

Suppose you are the manager of a popular cosmetic company. Your top selling brand requires both chemicals and labor. Two production processes are available: Process 1 transforms 1 unit of labor and 2 units of chemicals into 3 oz of perfume. Process 2 transforms 2 units of labor and 3 units of chemicals into 5 oz of perfume. It costs your company $3 to purchase a unit of labor and $2 to purchase a unit of chemicals. Each year, up to 20,000 units of labor and 35,000 units of chemicals can be purchased. In the absence of advertising, you believe your company can sell 1,000 oz of perfume. To stimulate demand for your perfume, you can hire a model. The model is paid $100/hour. Each hour the model works for your company is estimated to increase the demand for the perfume by 200 oz. Each ounce of the perfume sells for $5. Formulate a mathematical model that, when solved, maximizes profits.

Do not present your work in Excel.