Random Problems Flashcards

1
Q

A solid steel shaft, 8 m long, 100 mm in diameter is subjected simultaneously to an axial compressive force of 600 kN and
a torque T that twists the shaft through 1.5°. If the shear modulus of steel is 80 GPa, find the following: The torque T in
kN·m acting on the shaft.
A. 2.57
B. 1.36
C. 1.47
D. 4.78

A

A

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2
Q

A water tank 3m in diameter and 6m high is made from a steel having a thickness of 12mm. When the tank is filled with
water, determine the circumferential stress.
A. 7.36 MPa
B. 14.72 MPa
C. 3.7 MPa
D. 9.57 MPa

A

A

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3
Q

A hollow right circular cylinder is made of cast iron and has an outside diameter of 75 mm and an inside diameter of 60
mm. If the cylinder is loaded by an axial compressive force of 50 kN, determine the total shortening, in mm, in a 600 -mm
length. Take the modulus of elasticity to be 100 GPa and neglect any possibility of lateral buckling of the cylinder.
a. 0.189
b. 0.068
c. 1.128
d. 1.698

A

A

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4
Q

1 micrometer um is equals to how many meter?

A

1,000,000 m

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5
Q

Steel railroad rails 10 m long are laid with a clearance of 3 mm at a temperature of 15°C. At what temperature, in oC, will
the rails just touch? Use coefficient of linear expansion for steel is α= 11.7 μm/(m·°C) and E = 200 GPa. Clue: ΔL =
αLΔT
a. 42.88
b. 21.44
c. 40.64
d. 27.82

A

C

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6
Q

If a solid circular shaft of 1.25 in diameter is subjected to a torque T of 2500 Ib-in causing an angle of twist of 3.12 in
a 5 ft length. Determine the shear modulus of the material in × 10³
Ib/in2
. A. 200.58
B. 401.16
C. 11.5
D. 22.90

A

C

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7
Q

A simply supported rectangular beam, 50 mm wide by 100 mm deep, carries a uniformly distributed load of 1.20
kN/m over its entire length. What is the maximum length of the beam if the flexural stress is limited to 21 MPa?

A. 2.8 m
B. 3.4 m
C. 4.2 m
D. 4.6 m

A

B

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8
Q

The weight of a certain crown in air was found to be 14.0 N and its weight in water is 12.7 N.
Determine the volume of the crown in m^3.

A 0.0001325
B. 0.0001202
C. 0.0001529
D. 0.0001136

A

A

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9
Q

A 200N block rest on a horizontal rough surface. It is being pulled by a constant force of 50N 30° from horizontal. The
block is initially at rest, attained a velocity of 10 m/s after travelling 40m . Which of the following most nearly gives the acceleration of the block during the first 40 m of the motion in m/s2?
A. 1.55
B. 1.25
C. 1.85
D. 2.15

A

B

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10
Q

Compute the BHP of a pump needed to pump out a fluid (p=1.3 g/cc) at a rate of 300 gpm with a total head of 6 meters. Assume pump efficiency of 60%.

(A). 2.5 hp
(B). 3 hp
(C). 3.5 hp
(D). 5 hp

A

C

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11
Q

A solid steel shaft, 8 m long, 100 mm in diameter is subjected simultaneously to an axial compressive force of 600 kN and
a torque T that twists the shaft through 1.5°. If the shear modulus of steel is 80 GPa, find the following: The torque T in
kN·m acting on the shaft.

A. 2.57
B. 1.36
C. 1.47
D. 4.78

A

A

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12
Q

Timbers 12 in by 12 in, spaced 3 ft apart on centers, are driven into the ground and act as cantilever beams to back up
the sheet piling of a cofferdam. Water weighs = 62.5 lb/cu.ft. Calculate the maximum moment timber can resist if its
allowable flexural stress is 1200 psi.

A. 34.56 kip-ft
B. 28.80 kip-ft
C. 33.33 kip-ft
D. 26.54 kip-ft

A

B

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13
Q

What is the discharge in each sprinkler nozzle to irrigate a rectangular piece of land 150m x 180m if the laterals
are set parallel to the longer side of the field? Sprinkler spacing is 6m x 6m, irrigation water requirement is 150
mm and irrigation period is 6 hours.

A

0.25 L/s

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14
Q

What is the sample standard deviation of the given data: 2, 8, -4, 10, 6, -17, and 15?

A

10.62

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15
Q

An automobile tire is inflated to 32 psig pressure at 50°F. After being driven, the temperature rises to 75°F. Assuming that
the volume remains constant, the final gage pressure is

A

34.3

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16
Q

The molten mass where igneous rocks solidify from:

A

Magma

17
Q

Rocks that were formed from the partial melting of existing rocks due heat, pressure chemical action.
A. Metamorphic rocks C. Igneous rocks
B. Sedimentary rocks D. Volcanic rocks

A

A

18
Q

The main path of (movement) inorganic substances in plants is:
A. Roots C. Phloem
B. Xylem D. Leaves

A

C

19
Q

The milk produced in the first few days after parturition:
A. Colostrum C. Fresh milk
B. Filled milk D. Mastitis

A

A

20
Q

A cube has a surface area of 54 cm2
. What is the volume of the cube?

A

27 cm³

SurfaceArea=6a²

The volume of a cube is:

Volume=a³

21
Q

Darwin takes twice as long as Bianca to complete a project. Together they can complete the project in 10 hours.
How long would it take Darwin to complete the project alone?

A

30 hrs

Bianca -1/B
Darwin= 1/2B

Combined work= 1/B+1/2B= 1/10 hrs (simplify)

Since Darwin can complete the project= 2B (substitute the value)

22
Q

At a distance 4,000 feet from the launch site, a spectator is observing a rocket being launched. If the rocket lifts
off vertically and is rising at a speed of 600 feet per second when it is at an altitude of 3,000 feet, how fast is the
distance between the rocket and the spectator changing at that instant?

A

360 ft/s

dz/dt= (Y(day/dt))/z

23
Q

0.One piston of a hydraulic press has an area of 1 cm2
. The other piston has an area of 25 cm2
. If a force of 150 N is applied on the smaller piston, what will be the total force on the larger piston if both piston surfaces are on the
same level?

A

3750

24
Q

Find the length of the median through (−2, −5) of the triangle whose vertices are (−6,2), (2, −2) , and (−2, −5)

A

5

Draw a triangle with a median

Then add all the X and Y in the right and left side of the triangle.

And the answer will be the median

And solve the length through

✓(x-x)²+(y-y)²

25
Q

How far is the line 3x − 4y + 15 = 0 from the origin?

A. 1
B. 2
C. 3
D. 4

A

C

26
Q

What is the equation of the line that passes through(4, 0) and is parallel to the line x − y − 2 = 0?

A

y-x+4=0

27
Q

Streamflow in river X has a mean of 128 m3/s and a standard deviation of 52 m3
/s. If the sample data is normally
distributed, the magnitude of streamflow corresponding to a return period of 6.25 years is?

A

180 m³/s

28
Q

A swimming pool can be filled by three water pipes, A, B and C. Pipe A alone can fill the pool in 12 hours.
Pipe C alone fills the pool four times as fast as pipe B alone. When all three pipes are used, the pool is filled in 3
hours. How long would pipe B alone fill up the pool?

A

5 hrs

29
Q

A product manufactured by a company is sold in bulk at a price of 200 pesos per unit. If the total production cost in pesos for x units is C(x) = 500000 + 80x + 0.003x2 and if the production capacity of the firm is at most 30,000 units in a specified time, how many units of the product must be manufactured and sold in that time to maximize

A

20000

30
Q

The main canal of a gravity irrigation system is to be desgned to carry a maximum discharge of 4650 lps. The
cross-sectional shape is to be trapezoidal with a side slope 1:1. He bed is to be lined with concrete. The bottom
slope is to be 0.005. If the permissible b/d ratio is 3, the design depth should be ________

A

0.7

31
Q

The slope of the line whose equation is given by x + 3y – 6 = 0 is:

A

-(1/3)

32
Q

The stadia method was used to determine the distance between two points. The lower stadia hair read 11.98 while
the upper stadia hair reads 12.38. Assuming that an internal focusing transit was used, what is the distance
measured?

A

40 m

33
Q

A triangular channel with an apex angle of 75°carries a flow of 1.20 m3/sec at a depth of 0.80 m. If the bed slope is S = 0.009, find the roughness coefficient n of the channel.

A

0.0151

34
Q

What is the depth of water in a trapezoidal channel with a side slope of 2 and carrying a 2.5 m3/s water flow?
The channel’s bottom width is 1.5 meters and the flowing water has a velocity of 0.8 m/s.

A

0.93 m

35
Q

If the impeller speed of a centrifugal pump is increased from 1800 rpm to 2340 rpm, the resulting power will be
how many times the original?

A

2.197

(N2/N1)³