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Civil Engineering Board Exam November 2002 - Mathematics & Surveying

Mathematics & Surveying November 2002

Mathematics & Surveying November 2002

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J. J.
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J. J.
This flashcard set covers advanced university-level mathematics and surveying topics, focusing on calculations involving distances, areas, volumes, and curves. It includes problems on parametric equations, leveling, depreciation, and geometric properties like centroids and spheres. Ideal for engineering students preparing for board exams, the flashcards provide practical applications of mathematical concepts in surveying and civil engineering, helping users master complex problem-solving techniques essential for professional exams.
Cartes-fiches
29
Utilisateurs
1
Langue
Anglais
Catégorie
Mathématiques
Niveau
Université
Créé / Mis à jour
08.05.2016 / 01.03.2021
  • 1  / 29

Cartes-fiches

Find the value of x in a harmonic progression 1, \(1, {1\over 5}, {1\over 8}, {1\over x},...\)

A three meters steel pipe is leaning against a vertical wall and the other end is on the horizontal floor. If the lower end slides away from the wall at the rate of 2 cm/s, how fast the upper end is sliding down when the lower end is 2 m away from the wall?

Find the derivative of y=33x 

What is the difference of the future amounts of the annuity due and ordinay annuity?

  • Periodic Payment: P14 000
  • Rate of interest: 10% compounded quarterly
    • Payment made every 3 months for: 16 years

$36 000 is to be divided to Arthur, Bernard and Charlie so that the shares in the same order forms an arithmetic progression. If Bernard shares three times as Arthur, how much is Bernard shares?

In a spherical triangle: A = 116°19', B = 80°30', and C = 55°67'. Find side a.

A man walking along a line 50 m recorded 70, 71.5, 69.5 and 72 paces to determine his pace factor. Then he took 460, 458, 471, 457 paces in an unknown distance of a line AB. Compute the distance of line AB based on his pace factor. 

Find the volume generated of the area bounded by the curve x2 + y2 = 25 if it is to be revolved about x - 10 = 0.

The modulus of elasticity of pavement is 120 MPa and stiffness factor is 0.50 MPa. Determine the modulus of elasticity of the subgrade in MPa.

The tangent from P.C. of a simple curve has a bearing of N65°E while the tangent from P.T. has a bearing of N55°W. A point along the back tangent 150 m from P.C. has a right offset distance of 6.2m to the curve. Compute the radius.

Two parellel tangents 12 m apart are connected by a reversed curve having equal radii. The long chord connecting the P.C. to P.T. is 140m. Find the length of the reverse-curve.

A solid spherical ball of radius 10 cm is dropped into a verticacl cylinder containing water and the height of water rises by 10 cm. FInd the raidus of the cylinder.

A frustrum of regular pyramid has a lower base of 2.4 m by 2.4 m while the upper base is 1 m by 1m. If the lateral edge is 1.8 m, compute the volume of the pyramid.

Find the area of the cross section of 8 m width roadway. 

\({6 \over 1.6}, {0 \over 1.4}, {4.75 \over 0.5}\)

A certain association was established in 1975. The membership is in a function f(x) = 2x3 - 45 x2 + 264x. On waht year will membership is minimum?

At what nominal rate compounded quarterly will the money double after 5 years?

Find the volume of a reservoir having a contour interval of 2 m whose cross sectional areas are as follows:

Use Prismoidal Formula:

  • A1 = 6510 m2
  • A2 = 5010 m2
  • A3 = 4650 m2
  • A4 = 4050 m2
  • A5 = 3150 m2

Find the area of the hexagon inscribed in a circle if the area outside the hexagon but inside the cicle is 1500 cm3

Find the integral of sin53xdx from x = 0 to x = \(\pi \over 6\)

A is 11% older than B and B is 12% older than C. How much is A older than C?

Find the radius of the sphere from the equation x2 + y2 + z2 + 8x -2y +1 = 0

Find the abcissa of a centroid of the triangle if the vertices are (4,2), (-3,-2) and (2, 6).

A body uniformly accelerating from zero to 1.8 m/s2 at 4 sec. If its initial velocity is 3 m/s, find the distance traveled after 4 seconds.

The distance between P1(4, 10, 3) and P2 (8, 4, z) is 9.38. Find the z-ordinate.

A conical vessel has height of 60 cm and a base diameter of 100 cm. A salt solution was poured to a depth of 36 cm. Compute the volume of the salt solution. 

Solve the value of x: 97(3)3 = 32x

A company wants to purchase dump truck, which cost P800 000 and a salvage value of P100 000 after useful life of 5 years or rent at a cost of P1200/day. Annual cost of operation and maintenance is P20 000. How many days that the dump truck should be used so that the purchased are compensated if the rate is 14%? Use sinking fund method for depreciation.

A sight is taken with an engineers level at rod held 80 m away and the reading was observe to be 2.81. The bubble is then leveled through five spaces on the level tibe and the readiing increased to 2.874 m, what is the radius of curvature of the level tube if each division is 0.6 mm?

A curve has a parametric equation of x=2\(2 \theta - 2\sin\theta \) and \(y = 2 - 2\cos \theta\), compute the length of one arc.

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