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A thin-wall pressure vessel is shown below. Internal diameter=d, wall thickness=t.

In addition to the internal pressure p (p=100 psi), a torque T is applied. Assume d=20 inch (r=10 in), t=0.1 inch, T=502,640 in-lb. Determine the wall stress components. Assume that the longitudinal direction is labeled as x and the circumferential (hoop) direction is label as y.

Use Mohr's circle to determine the principle strains and maximum shear strain. Assume that E=10,000 ksi and Poisson's ratio v=0.3 and plane stress case.

Find epsilon x, y, and z. Find gamma xy

A block has mass M=2kg and is initially at rest, then slides a distance L = 1.25m down a theta = 30degrees frictionless incline plane until it is momentarily brought to rest by a spring. The spring is compressed a distance X= 3cm .

a) Write down expressions for the initial and final energy of the system

b) Find an expression for the spring constant K in terms of L, X, theta and M and calculate K

c)The experiment is repeated but the spring is removed. This time the block slides a distance L = 1.4m to the bottom of the frictionless incline and at the bottom of the incline the block slides an additional distance d along a horizontal surface with coefficient of kinetic friction = 0.3, before coming to rest. Use Work and energy to find d.

A machine is designed to fill containers with 16 ounces of coffee. A consumer suspects that the machine is not filling the containers completely and the amount of coffee is less than 16 ounces when filled. A sample of 8 containers has a mean of 15.6 ounces of coffee and a standard deviation of 0.3 ounces of coffee.  Assume that the distribution of data is normal. At 10% significance level, is there enough evidence to support the consumer’s suspicion that the machine is not filling the containers completely and the amount of coffee in a container is less than 16 ounces when filled?

Question: Which of the following is the correct calculator command to use?

2-SampTTest

2-SampTInt

ANOVA

Z-Test

2-SampZTest

T-Interval

Z-Interval

2-SampZint

T-Test

A battery pack used in a medical device needs to be recharged about every 5 hours. A random sample of 20 battery packs is selected and subjected to a life test. The average life of these batteries is 5.05 hours with standard deviation ? = 0.3 hours. Assume that battery life is normally distributed. Is there evidence to support the claim that mean battery life is more than 5 hours? Use ? = 0.01.

a. Write the appropriate hypothesis.

b. Use P-value approach to test the hypothesis.

c. Use t-test to test the hypothesis.

d. Use confidence interval to test the hypothesis.

e. What is your conclusion?

f. If the true mean life is 5.1 hours, what is the type II error?

Assume firm A wants to borrow float while firm B wants to borrow fixed. Firm A is offered 10% fixed borrowing cost and LIBOR + 0.3% float borrowing cost while firm B is offered 11.2% fixed borrowing cost and LIBOR + 1% float borrowing cost.

1. Show how the two firms can reduce their borrowing costs equally by entering into an interest rate plain vanilla swap? Use a table to demonstrate your solution
2. If the agreed-upon notional amount is $100m (no need to know the swap tenor), how much each party annually pays the other in absolute amounts? (assume that the LIBOR = 5%). Show your answer in a table similar to that in (a) solution

Assume firm A wants to borrow float while firm B wants to borrow fixed. Firm A is offered 10% fixed borrowing cost and LIBOR + 0.3% float borrowing cost while firm B is offered 11.2% fixed borrowing cost and LIBOR + 1% float borrowing cost.

(a) Show how the two firms can reduce their borrowing costs equally by entering into an interest rate plain vanilla swap? Use a table to demonstrate your solution

(b) If the agreed-upon notional amount is $100m (no need to know the swap tenor), how much each party annually pays the other in absolute amounts? (assume that the LIBOR = 5%).

Show your answer in a table

Oil from a specific type of marine microalgae can be converted into biodiesel that may serve as an alternate transportable fuel for automobiles and trucks. If lined ponds are used to grow the algae, the construction cost is $13 million and the M&O cost is estimated at $1.8 million per year. Alternatively, if long plastic tubes are used for growing the algae, the initial cost will be higher at $25 million, but less contamination will render the M&O cost lower at $0.3 million per year. At an interest rate of 15% per year and a 5-year project period, which system is better—ponds or tubes? Use a present worth analysis. The present worth of lined ponds is $ and that of plastic tubes is $ . are used to grow algae.

1. In a certain pint in an electrical system, the available fault current is 12 pu. Determine the actual fault current using a base power of 100 MVA and a base voltage of 34.5 kV

2. The positive, negative and zero sequence reactances of a 20 MVA, 13.2 kV synchronous generator are 0.3 pu, 0.2 pu and 0.1 pu respectively. The generator is solidly grounded and is not loaded. A line to ground fault occurs on phase a. Neglect all resistances, determine the fault current.

3. A 15 MVA, 34.5 kV/6.24 kV transformer is connected at an infinite bus. The percent impedance of the transformer is 2.5%. What is the current at the 34.5 kV side for a three phase short at the 6.24 kV side?

Daily high temperatures in degrees Fahrenheit in the city of Lubbock for the last week havebeen as follows: 93, 94, 93, 95, 96, 88, 90. Using Excel’s Data Analysis add-in,
a. Forecast the high temperature today, using a 3-day moving average.
b. Forecast the high temperature today, using a 2-day moving average.

c. Forecast the high temperature today, using weighted moving average with weights 0.5, 0.3 and 0.2 for the most recent, second most recent, and third most recent periods, respectively. d. Calculate the mean absolute deviation (MAD) based on each of the techniques above. Which forecasting method provides a lower MAD?

uppose that The Elasticity of Imports in the USA in the short Run is 0.5 The Elasticity of Imports in Japan in the short Run is -0.3 The Elasticity of Imports in the USA in the long Run is 1.2 According to the Elasticities approach to the Current Account Balance, if the Exchange Rate goes from Yen=$1/100 to Yen=$1/50 ...

The Current Account Balance in the US will deteriorate in the short run and in the long run

The Current Account Balance in the US will deteriorate in the short run, and improve in the long run

The Current Account Balance in the US will improve in the short run and in the long run

The Current Account Balance in the US will deteriorate in the short run, and improve in the long run as long as the elasticity of imports in Japan is strictly more than -0.2