1.Write down the fplot( ) command used to generate a straight line formed by two (x, y) points: (-3, 5) and (3, 8). Plot the line from -5 ≤ x ≤ 5. Show your derivation of the line equation.

2. [15pts] The position x as a function of time of a particle that moves along a straight line is given by

a. [3pts] Derive the expressions for the velocity and acceleration of the particle

Make plots of the position, velocity, and acceleration as a functions of time for 0 ≤ t ≤ 15 sec following the instructions below.

b. [6pts] Using plot( ), plot the position, velocity, and acceleration on a single plot window using black solid line, green dash line, and yellow dash-dot line, respectively. Show the plot in Figure 1. Use the line width of 2. Include the following title in bold face: “Motion profile of a particle between 0 ≤ t ≤ 15 sec”. Include proper legend and axis labels with units. Show grid lines. All formatting must be done inside your code and not from the Figure Editor.

c. [6pts] Using subplot, plot the position, velocity, and acceleration vs time in 3 separate plots arranged in a single column. Show the subplot in Figure 2. Include the following title in bold face above the top-most plot: “Position, velocity and acceleration profile of a particle”. Show grid lines and proper axis labels on all your plots. All formatting must be done inside your code and not from the Figure Editor.

From the diameter and effective surface temperature of the sun, estimate the rate at which it emits energy. What fraction of this emitted energy is intercepted by the earth? Estimate the solar constant, given the mean earth-sun distance.

Problem 2.

Problem 1.

An ideal Rankine Cycle with reheat uses water as the working fluid with a flow rate of 0.15 kg/s.
At the inlet of the turbine (state 1) the water is a superheated vapor at 475ºC and 11 MPa.
The pressure at the exit of the first stage of the turbine is 0.9 MPa.
The reheat temperature (state 3) is also  475ºC.  
The condenser pressure is 8 kPa, and the water exits as a saturated liquid

Find: (a) The heat addition to the cycle, (b) the consumption rate of U-235 to maintain the heat addition if this is a nuclear power plant, and (c) the consumption rate of natural gas to maintain the cycle

Problem 2.

Re-do problem 1 using an isentropic efficiency of 80% for both stages of the turbine and the pump

An ideal Rankine Cycle with reheat uses water as the working fluid with a flow rate of 0.15 kg/s.
At the inlet of the turbine (state 1) the water is a superheated vapor at 475ºC and 11 MPa.
The pressure at the exit of the first stage of the turbine is 0.9 MPa.
The reheat temperature (state 3) is also  475ºC.  
The condenser pressure is 8 kPa, and the water exits as a saturated liquid

Find: (a) The heat addition to the cycle, (b) the consumption rate of U-235 to maintain the heat addition if this is a nuclear power plant, and (c) the consumption rate of natural gas to maintain the cycle

An ideal Rankine Cycle with reheat uses water as the working fluid with a flow rate of 0.15 kg/s.
At the inlet of the turbine (state 1) the water is a superheated vapor at 475ºC and 11 MPa.
The pressure at the exit of the first stage of the turbine is 0.9 MPa.
The reheat temperature (state 3) is also  475ºC.  
The condenser pressure is 8 kPa, and the water exits as a saturated liquid

Find: (a) The heat addition to the cycle, (b) the consumption rate of U-235 to maintain the heat addition if this is a nuclear power plant, and (c) the consumption rate of natural gas to maintain the cycle

3. Upper bike price is $4600, middle bikes price is 10,000. Describe which is the best value for you as a student and why. Identify the critical path on the FAST diagram.

4. Genichi Taguchi defined the taguchi loss Function: Explain what the Taguchi Loss Function means for both the consumer and Manufacturer

As part of a mechanical device there is a circular cog, Cog1, that has a diameter of 50 cm. From the mechanic’s point of view, when the device is in action, Cog1 rotates anticlockwise and makes two full turns per minute. There is a red marker on Cog1 to help track this motion.

(a) Consider only the placement of the red marker on Cog1. It is defined by two variables, X and Y . X is the horizontal displacement from the vertical line through the center of Cog1 and Y is the vertical displacement from the horizontal line through the center of Cog1. Let θ be the angle from the positive horizontal axis to the line between the center of C og1 and the red marker. Assume θ is measured anticlockwise and in radians.

(i) Sketch a representation of this situation.

(ii) Let the red marker begin at θ = 0. Sketch the graphs X(θ) and Y (θ); the horizontal and vertical position of the red marker as functions of θ, as the marker rotates. Clearly label the axes, the maximums and minimums of the functions, and any points where the graphs cross the axes.

(iii) Give explicit expressions for X(θ) and Y (θ).

what do you know about rod pumps?

what are they used for?

In a supermarket, air at atmospheric pressure and 25 °C is supplied to an air handling unit through a rectangular duct with a cross section of 0.5 m x 0.1 m. The air handling unit will distribute 2/3 of the air to the large shopping area of the supermarket at 25 °C, and it will cool the remaining air to -5 °C and distribute it to a walk-in refrigerator. To avoid frictional pressure losses, the average air velocity in the ducts should be 5 m/s. Assume pressure changes in the system are negligible.

a. What is the mass flowrate of air into the air handling unit?
b. Find the cross-sectional areas of the two ducts leaving the air handling unit,transporting air to the shopping area and the refrigerator.

For mullite list: polyhedral and coordination numbers, Alternate formulas for stoichiometry (if any) emphasizing structure vs merely atom counting, Listing of each site, coordination #, typical atoms, Wykoff symbol, point group, & coordinates, ypical materials with this structure, including minerals (with names and stoichiometries) if applicable, List related structures and show/describe the differences. Please help, i have been researching for hours and cant find any information.

THERMO-SYSTEM ANALYSIS

3) Explain production of gasohol, not exceeding one page

Iron has an fcc structure at temperatures higher than 913 degree centigrade, and bcc structure below this temperature. At 1148 oC, iron can dissolve maximum of 2.08% of carbon to form steel. However, at temperature lower than 723 oC, iron can only dissolve maximum 0.025% carbon. The atomic radius is 0.129 nm in both structures (don't consider thermal expansion). One of the largest void is located at (0, ½ , 0) for fcc.

What is the largest void size in the fcc structure of iron?

Iron has an fcc structure at temperatures higher than 913 degree centigrade, and bcc structure below this temperature. At 1148 oC, iron can dissolve maximum of 2.08% of carbon to form steel. However, at temperature lower than 723 oC, iron can only dissolve maximum 0.025% carbon. The atomic radius is 0.129 nm in both structures (don't consider thermal expansion). One of the largest void is located at (0, ½ , 0) for fcc.

What is the largest void size in the fcc structure of iron?

A thermocouple junction of 1.0-mm in diameter is inserted in a large chamber to measure the temperature of hot gas flowing through the chamber. The hot gas has a velocity of 2 m/s and temperature (Tg) at 800 K. The chamber surface (Ts) is maintained at 500 K.

(a) If the thermocouple is at room temperature, Ti when it is inserted in the chamber, calculate the time required for the temperature difference, (Tg–T) to reach 2% of the initial temperature difference Tg-Ti . Neglect radiation and conduction through the leads. Properties of the thermocouple junction are approximated as k = 100W/mK, c = 385 J/kgK and  = 8920 kg/m3 , while those of the hot gases may be assumed to have the properties of air at atmospheric pressure.

(b) If the thermocouple junction has an emissivity of 0.5, what is the steady state temperature of the thermocouple junction?

(c) The emissivity of the thermocouple junction can be controlled through application of a thin coating. How would changes in the emissivity affect the temperature measurement error? Compute the steady state junction temperature for emissivities in the range 0.1  ɛ  1. Results are to be presented in graphical and / or tabular forms and should be accompanied by substantial discussion supported by heat transfer fundamentals.

(d) Suggest ways to eliminate the temperature measurement error