MAE 101A (Summer 2009) - Homework # 5 Due: Friday, July 31, 2009, at 7:00 pm (105 Center Hall)
Problem 1: A blast, shown in the diagram, results in a pressure rise (p = p2 p1) across the high-speed blast wave that it generates. This pressure rise is assum
2.10 (a) The event both subcontractors will be available = AB, hence since P(AB) = P(A) + P(B) - P(AB) P(AB) = P(A) + P(B) - P(AB) = 0.6 + 0.8 - 0.9 = 0.5 (b) P(B is availableA is not available) = P(B A ) =
P( BA ) P( A )
while it is clear from the follow
2.13 [(LM) G] [(LM) G ]
(a)
C=
(b)
Since (LM)G is contained in G, it is mutually exclusive to (LM) G which is contained in G . Hence P(C) is simply the sum of two terms, P(C) = P[(LM) G] + P[(LM) G ]
= P(LGMG) + P(L)P(M G ) = P(LG) + P(MG) P(LMG) + P(L)P(
2.14 (a) Note that the question assumes an accident either occurs or does not occur at a given crossing each year, i.e. no more than one accident per year. There were a total of 30 + 20 + 60 + 20 = 130 accidents in 10 years, hence the yearly average is 13
2.15 F = fuel cell technology successfully marketable S = solar power technology successfully marketable F and S are statistically independent Given P(F) = 0.7; P(S) = 0.85 (i) P(energy supplied) = P(FS) = P(F) + P(S) P(F)P(S) = 0.7 + 0.85 0.7x0.85 = 0.95
MAE 101A (Summer 2009) - Homework # 4 Due: Wednesday, July 29, 2009, at 6:00 pm (105 Center Hall) Problem 1: Solve Problem 4.1 of the textbook. Problem 2: The temperature distribution in a fluid is given by T = 10x + 5y, where x and y are the horizontal a
MAE101A The coffee cup in Example 2.12 is removed from Homework #3on a turntable, and rothe drag racer, placed SOLUTIONS
EXAMPLE 2.13
tated about its central axis until a rigid-body mode occurs. Find (a) the angular velocity which will cause the coffee to
P2.70
Solution: For water, we take
= 9790 N / m 3 . The hydrostatic force on the valve is :
N F = pCG A = h( )d 2 = (9790 3 )h( )(0.2286 m )2 = 401.8 h m 4 4 The center of pressure is slightly below the center line by an amount:
yCP =
sin I xx (9790)sin(3
MAE 101A (Summer 2009) - Homework # 3 Due: July 22, 2009 at 6:00 pm (105 Center Hall) Problem 1: Air is dawn into a wind tunnel used for testing automobiles as shown below. a) Determine the manometer reading, h, when the velocity in the test section is 60
5.12 The Stokes number. St. used in particle-dynamics studies. is a dimensionless combination of
ve variables: acceleration of gravity 3. viscosity In. density p. particle velocity U. and particle
diameter D. If St is proportional to p and inversely prop
2.16 a. E1 = Monday is a rainy day E2 = Tuesday is a rainy day E3 = Wednesday is a rainy day Given P(E1) = P(E2) = P(E3) = 0.3 P(E2 E1) = P(E3 E2) = 0.5 P(E3 E1E2) = 0.2 b. P(E1E2) = P(E2 E1) P(E1) = 0.5x0.3 = 0.15 P(E1E2 E 3 ) = P( E 3 E1E2) P(E2 E1) P(E