Computation Flashcards
1
Q
7. Differential Equations a reactor holds 100 liters of water with 50 g of dissolved salt. if 3 L of the solution that contains 1 gram per liter of salt enters the tank and stirred to achieve uniformity, a stream flows out at 2 liters per minute. what is the amount of salt in the salt in the tank at time t? A. t+C(100+t)^-2 B. 100+t+C(100+t)^-2 C. t+C(100+t)^2 D. 100+t+C(100+t)^2
A
B
2
Q
6. Integral calculus what is the volume of the solid generated by the area bounded by y^2 = x, y = 0, and x = 2 rotated about the y axis? how about the x axis? A. 6.28 B. 8.62 C. 14.22 D. 22.14
A
C(y-axis) A (x-axis)
3
Q
5a. Probability there are 5 green balls 4 yellow balls and a white ball. what is the probability of getting a pair of green and yellow balls drawn simultaneously? A. 2/9 B. 4/9 C. 1/10 D. 1/5
A
B(green first) + (yellow first)(5/10)(4/9)+(4/10)(5/9)
4
Q
5b.Work 20 men can finish a work in 30 days. on completion of 10 days, 10 men leave work. the remaining men work for next 10 days. at the end of 20 days, it is decided to complete the work in remaining 10 days how many extra men are required? A. 10 B. 15 C. 20 D. 40
A
C. 20
5
Q
3.2 Engineering Econ what is the present worth of a continuously compounded annually of 6,000 for 7 years (i= 2% per month) A. 38832 B. 17997 C. 38802 D. 18129
A
B
6
Q
3.1 Engineering econ what is the present worth of the consecutive series of cash flows listed below (i= 8%) Year 1: 3000 Year 2: 4500 Year 3: 6,000 Year 4: 7500 A. 19320 B. 14106 C. 16912 D. 23, 008
A
C
7
Q
19.1 SMAT a 4-m long bar with a cross-sectional area of 350 mm^2 is placed between two rigid walls. a gap of 5 mm is present at -10 °C. find the temperature at which the compressive stress in the bar will be 20 MPa. use α=25x10^-6 m/m-°C and E=100 GPa. A. 32 °C B. 48 °C C. 52 °C D. 68 °C
A
B
8
Q
19.2 SMAT what is the maximum shear stress of a helical spring that has a mean radius and wire diameter of 2 cm and 7 mm respectively, given a load of 1.5 N. assume that the spring curvature is relevant. A. 735 kPa B. 756 kPa C. 571 kPa D. 564 kPa
A
D
9
Q
19.3 SMAT a flanged bolt coupling has an outer bolt circle diameter of 1 meter with ten 12-mm diameter bolts and an inner bolt circle diameter of 600 mm with eight 10-mm diameter bolt. if the allowable shear stress is 100 MPa, what torque can be applied ? A. 96.8 kN-m B. 46.2 kN-m C. 67.9 kN-m D. 82.1 kN-m
A
C
10
Q
18.1 Statics a warren truss was loaded with 8kN, 5kN and 10kN at points B, C, and D respectively. member BD is parallel to member ACE. the connecting bars measure 8 m. 1. what is a compression force of bd 2. what is the tension force of cd 3. what is the compression force of de A. 2.31 kN B. 8.08 kN C. 13.9 kN D. 12 kN
A
B
A
C
11
Q
18.2 Statics a 8-pound block rests on a 40 degree inclined plane. what is the minimum force that can move the block upward the inclined μ_s=0.8 μ_k= 0.6 A. 8.82 lb B. 10.24 lb C. 9.21 lb D. 10.04 lb
A
D
12
Q
18.3 Statics given a wheel of radius 8in having a load of 250 lb in the center and in equilibrium with the 3 inch square block calculate the following: 1. force needed to move the wheel 2. reaction force of the block with the wheel A. 312.2 lb B. 400 lb C. 269.7 lb D. 101.1 lb
A
A
B
13
Q
18.4 Statics how much is the resulting tension on the other side of the belt if one side is pulled with 35 N. the angle of friction and contact angle are 35° and 100° respectively A. 109.5 N B. 89.9 N C. 118.8 N D. 218.2 N
A
C
