low carbon steel having a tensile strength of 350 MPa and shear strength of 250 MPa is cut in a turning operation with a cutting speed of 200 m/min. The feed is 0.3 mm/rev and the depth of cut is 4.8 mm. The rake angle of the tool is 12 degrees in the direction of chip flow. The resulting chip ratio is 0.8. Using the orthogonal model as an approximation of turning determine...

a.The shear plane angle.

b. Shear force

c. Cutting force

d. Friction force

e. Normal force to shear and coefficient of friction.  

f. Cutting power and cutting horsepower.

Let A and B be two events in a sample with P(A)=0.4 and P(AuB)=0.7.Let P(B)=p

a)i For what value of p are A and B mutually exclusive?

ii for what value of p are A and B independent?

b) Assume that P(A)=0.4 and P(B)=0.3

i find P(B')

ii if A and B are mutually exclusive , what is P(A or B)

ii given that P(A or B)=0.6, Find the P(B/A)

c) suppose events A and B are such that P(A)=0.25,P(B) =0.33 and P(A|B)=0.5, Compute,

P(AnB) and P(AuB)

16. If a sample of oxygen gas is collected over water at a pressure of 0.921 atm and 23°C, whatis the partial pressure of the oxygen gas?

17. A mixture of gases exerting a pressure of 1.11 atm consists of 0.20 mol of O2 gas, 0.3 mol of H2 gas, and 0.7 mol of CO2 gas. What is the partial pressure of the O2

gas, the H2 gas andthe CO2 gas?

18. 0.5 mol of O2 is added to a cylinder containing 0.7 mol of H2 at 0.6 atm. What is the molefraction of each gas? What is the partial pressure of O2

and the total pressure of thecylinder?

Convection Heat transfer internal flow

Consider water flowing in a heated tube. The tube is 14 m long with an inner diameter of 1 cm. The heat
is added at 1500 W/m2 uniformly along the tube. Water flows at 0.3 m/s. Use the following water property
? = 1000 kg/m³, ? = 1.4 × 10^?3 kg/m·s, cp = 4.2 kJ/kg·K, k = 0.58 W/m·K, and determine

1. Heat transfer coefficient at the tube exit.
2. Tube surface temperature at the exit, with the mean inlet temperature of water at 7°C.

Caro Manufacturing has two production departments, Machining and Assembly, and two service departments, Maintenance and Cafeteria. Direct costs for each department and the proportion of service costs used by the various departments for the month of August follow: Proportion of Services Used by Department Direct Costs Maintenance Cafeteria Machining Assembly Machining $ 125,000 Assembly 84,000 Maintenance 52,000 — 0.2 0.5 0.3 Cafeteria 33,000 0.6 — 0.2 0.2 Required: Use the reciprocal method to allocate the service costs. (Matrix algebra is not required.) (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations.)

Given the data below for the reaction, 2 A + 2 B + 4 C => D + E + 3 F,

Calculate the value of k to 3 significant figures.

You are trying to design a system that will determine whether someone has a PhD in music. You have the following information:

• The probability that a music PhD can correctly identify a composer from a 5-second audio clip is 85%
• The probability that anyone else can identify a composer from a 5-second audio clip is 2%
• Music PhDs make up 0.3% of the population

You stop someone on the street and play them a 5-second segment of Claire de Lune. They correctly identify the composer as Debussy. Based on the information above, what is the probability that this person has a music PhD?

There are three theories that explain exchange rate behaviour, two of these deals with how inflation rates affect the exchange rate. They are purchasing power parity (PPP) and International Fisher Effect (IFE).

(a) In reality, PPP does not hold. Even PPP holds, this does not consistently occur. Give two major reasons why PPP does not hold consistently. Explain in detail.

(b) Assume the spot exchange rate of Singapore dollar to US dollar is US$0.7420/S$. The one-year interest rate is 0.3% in U.S. and 6% in Singapore. What would be the spot rate in one year according to IFE?

Your marketing research department provides the following estimated demand function for your product: Qd = 500.6 - 11.4P + 0.5INCOME where P is the price of your product and INCOME is average income.

a. Is your product a normal good or an inferior good? Explain your answer.

b. The standard error for the price coefficient is 2.0. What is its t-statistic? What can you conclude about the coefficient's statistical significance?

c. The standard error for the income coefficient is 0.3. What is its t-statistic? What can you conclude about the coefficient's statistical significance?