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Quiz No. 2 CIE 094 – Professional Integration 2 (Surveying)

  1. A 30 m tape weighs 12 g/m and has a cross sectional area of 0𝑐𝑚 2. It measures correctly when supported throughout under a tension of 85 newton and a temperature of 20°C. When used in the field, the tape is only supported at its ends, under a tension of 85 newton. The temperature is 13°C, 𝛼 = 1 × 10 −5/°𝐶. What is the distance of zero and 30 mark under these conditions? a. 30 c. 28 b. 25 d. 32 Situation 1 - A line was determined to be 2395 m when measured with a 30 m steel tape supported throughout its length under a pull of 4 kg at a mean temperature of 35°C. Tape used is of standard length at 20°C under a pull of 5 kg. Cross-sectional area of tape is 0 𝑐𝑚 2. Coefficient of thermal expansion is 0/°C, modulus of elasticity of tape 2× 106 𝑘𝑔/𝑐𝑚 2.

  2. Determine the error of the tape due to change in temperature. a. 0 c. 0. b. 0 d. 0.

  3. Determine the error due to tension. a. + 0 c. - 0. b. + 0 d. - 0.

  4. Determine the corrected length of the line. a. 2394 c. 2397. b. 2395 d. 2395.

  5. An average person walk a distance with 220 paces. Find the approximate distance walked in meters. a. 212 c. 135 b. 168 d. 180

  6. A distance of 1000 ft. is to be taped with an error of not more than 0 ft. Determine how accurately each 100- ft. length must be measured to ensure the error will not exceed the permissible limit. a. 0 ft. c. 0 ft. b. 0 ft. d. 0 ft.

  7. A student was asked to make a 365-m long line using a 25-m tape that is 0 m too long. What is the required measurement? a. 365 m b. 365 m b. 365 m c. 365 m

  8. A continuous structure built parallel to along to along the margin of the sea or alongside riverbank, canals, or waterways where vessels may lie alongside to receive or discharge cargo, embark or disembark passengers or lie at rest. a. Pier c. Port b. Wharf d. Lighthouse

  9. It is defined as the number of vehicles per unit distance occupying a section of roadway at a given instant in time, and is usually measured in vehicles per mile or vehicle per kilometre. a. flow c. capacity b. density d. volume

  10. A line 100 m long was paced by a surveyor for four times with the following data: 142, 145, 145, and 146. Then another line was paced for four times again with the following results: 790, 790, 789, and 791. Determine the distance of the new line a. 552 c. 564.

b. 252. 81 d. 546. 11. Using a 100 m tape, the area of a square field was measured to be 4 hectares. The tape is found out to be 0 m too long. What is the correct area of the lot in square meters? a. 45053 c. 45200. b. 45120 d. 45110. 12. A type of thermoplastic lane marking designed to aid and provide motorist with visual, audio, and motion warning on the road. a. regulatory signs c. chevron marking b. diagonal marking d. rumble strip 13. Inform and advise road users of directions, distances, routes, the location of services for road users, and points of interest. a. regulatory signs c. guide signs b. warning signs d. traffic sign 14. Messages painted on pavement should be limited to how many words only? a. six words or less c. four words or less b. five words or less d. three words or less 15. Assume that any distance of 100 ft. can be taped with an error of 0 ft. if certain techniques are employed. Determine the error in taping 5000 feet using these skills. a. 0 ft c. 0 ft b. 0 ft d. 0 ft 16. The basic lane width appropriate for national road. a. 2 m c. 1 m b. 3 m d. 5 m 17. A 50-m tape weighing 1 kg has a standard pull of 8 kg. The tape’s cross-sectional area and modulus of elasticity are 0 𝑐𝑚 2 and 200 GPa, respectively. What pull (normal tension) is required in order that the effect of the sag will be eliminated when the tape is supported at the end point only? a. 214 N c. 145 N b. 163 N d. 197 N 18. A chain was used to check the distance between two control points on a large building project. The distance was measured and recorded as 600 m. after the work was finished, it was decided to check that chain at the location baseline. Upon checking, it was found out that the chain was actually 29 m rather than 30. What is the actual length between the two control points? a. 600 m c. 600 m b. 600 m d. 600 m 19. Primary consideration in the design of geometric cross- section of, highways, runways, and taxiways. a. Shoulder c. Railway b. Drainage d. Parking space 20. What are the components of stopping site distance? a. Reaction distance and Maneuver Distance b. Reaction Distance and Braking Distance c. Maneuver Distance and Breaking Distance d. Reaction Time and Sight Distance

SOLUTION

  1. A 30 m tape weighs 12 g/m and has a cross sectional area of 0𝑐𝑚 2. It measures correctly when supported throughout under a tension of 85 newton and a temperature of 20°C. When used in the field, the tape is only supported at its ends, under a tension of 85 newton. The temperature is 13°C. What is the distance of zero and 30 mark under these conditions?

Correction due to temperature: 𝐶𝑡 = 𝐿 ∙ 𝛼 (𝑇 − 𝑇𝑠) 𝐶𝑡 = 30 ∙ 1 × 10−5 (20 − 13) 𝐶𝑡 = 0 𝑚

Correction due to sag:

𝐶𝑠 = 𝑤

2 𝐿 3

24 𝑃 2

𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡𝑎𝑝𝑒 = 12 𝑔

𝑚

×

1 𝑘𝑔

1000 𝑔

= 0 𝑘𝑔

𝑚

𝑊𝑒𝑖𝑔ℎ𝑡 𝑜𝑓 𝑡𝑎𝑝𝑒 = 0 𝑘𝑔

𝑚

× 9 𝑚

𝑠 2

= 0 𝑁

𝑚

𝐶𝑠 = (0)

2 (30) 3

24 (85) 2

𝐶𝑠 = 0 𝑚

Total Correction = 0 – 0 = 0

The correction due to sag compensates the correction due to temperature.

Distance between 0 to 30 mark = 30 meters

Situation 1 - A line was determined to be 2395 m when measured with a 30 m steel tape supported throughout its length under a pull of 4 kg at a mean temperature of 35°C. Tape used is of standard length at 20°C under a pull of 5 kg. Cross-sectional area of tape is 0 𝑐𝑚 2. Coefficient of thermal expansion is 0/°C, modulus of elasticity of tape 2× 106 𝑘𝑔/𝑐𝑚 2. 2. Determine the error of the tape due to change in temperature. 𝐶𝑡 = 𝐿 ∙ 𝛼 (𝑇 − 𝑇𝑠) 𝐶𝑡 = 30 ∙ 1 × 10−5 (20 − 13) × 2395. 30 𝐶𝑡 = 0 𝑚 3. Determine the error due to tension.

𝐶𝑝 = (𝑃𝑚 − 𝑃𝑠)𝐿 𝐴𝐸 𝐶𝑝 =

(4 − 5) (30)

0 (2 × 10 6 )

× 2395.

30

𝐶𝑝 = −0 𝑚

  1. Determine the corrected length of the line. Corrected Length = 2395 + 0 – 0. Corrected Length = 2395 m

  2. An average person walk a distance with 220 paces. Find the approximate distance walked in meters.

1 pace is approximately equal to 76 cm

𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 220 𝑝𝑎𝑐𝑒𝑠 × 76 𝑐𝑚 ×

1𝑚

100𝑐𝑚

𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 = 167 𝑚, 𝑎𝑝𝑝𝑟𝑜𝑥𝑖𝑎𝑚𝑡𝑒𝑙𝑦 168 𝑚𝑒𝑡𝑒𝑟𝑠

  1. A distance of 1000 ft. is to be taped with an error of not more than 0 ft. Determine how accurately each 100-

ft. length must be measured to ensure the error will not exceed the permissible limit. Number of tape lengths, N = 1000/10 = 10 𝐸 = √Σ 𝐸𝑡 2 = √N𝐸𝑡 2

0 = √10 𝐸𝑡 2 𝐸𝑡 =  0.

  1. A student was asked to make a 365-m long line using a 25-m tape that is 0 m too long. What is the required measurement? True Distance, TD = 365. Error per tape length, e = + 0 m, too long 𝑇𝐷 = 𝑀𝐷 (1  𝑒𝐿) 365 = 𝑀𝐷 (1 +

  2. 25 ) 𝑀𝐷 = 365 𝑚

  3. A line 100 m long was paced by a surveyor for four times with the following data: 142, 145, 145, and 146. Then another line was paced for four times again with the following results: 790, 790, 789, and 791. Determine the distance of the new line.

𝑃𝑎𝑐𝑒 𝑓𝑎𝑐𝑡𝑜𝑟 =

100

142 + 145 + 145 + 146

4

= 0.

Mean number of paces for the new line: = 790+790+789+791 4 = 790. 𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑛𝑒𝑤 𝑙𝑖𝑛𝑒 = 0 × 790. 𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑛𝑒𝑤 𝑙𝑖𝑛𝑒 = 546 𝑚

  1. Using a 100 m tape, the area of a square field was measured to be 4 hectares. The tape is found out to be 0 m too long. What is the correct area of the lot in square meters? 𝐴𝑚 = 𝑀𝐷 2 𝑀𝐷 = √𝐴𝑚 = √4 × 10000 = 212 𝑚

𝑇𝐷 = 𝑀𝐷 (1 

𝑒

𝐿

)

𝑇𝐷 = 212 (1 + 0.

100

) = 212.

𝐴𝑇 = 𝑇𝐷 2 = 212 = 45053 𝑚 2

  1. Assume that any distance of 100 ft. can be taped with an error of 0 ft. if certain techniques are employed. Determine the error in taping 5000 feet using these skills. Error of the series: 𝐸𝑠 = √E 2 + 𝐸 2 + 𝐸 2 + ⋯ = √nE 2 = 𝐸√𝑛 𝑛 = 5000 100

= 50

𝐸 = 0.

𝐸𝑠 = 0√50 = 0 𝑓𝑡

  1. A 50-m tape weighing 1 kg has a standard pull of 8 kg. The tape’s cross-sectional area and modulus of elasticity are 0 𝑐𝑚 2 and 200 GPa, respectively. What pull (normal tension) is required in order that the effect of the sag will be eliminated when the tape is supported at the end point only?

Normal Pull formula:

𝑃𝑛 = 𝑊√

AE

24(𝑃𝑛 − 𝑃𝑠)

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Quiz 2 - N/A

Course: Civil Engineering

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University: Bicol University

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Quiz No. 2
CIE 094 Professional Integration 2 (Surveying)
1. A 30 m tape weighs 12 g/m and has a cross sectional
area of 0.020𝑐𝑚2. It measures correctly when
supported throughout under a tension of 85 newton
and a temperature of 20°C. When used in the field, the
tape is only supported at its ends, under a tension of 85
newton. The temperature is 13.5°C, 𝛼=1.15 ×
10−5/°𝐶 . What is the distance of zero and 30 mark
under these conditions?
a. 30 c. 28
b. 25 d. 32
Situation 1 - A line was determined to be 2395.25 m when
measured with a 30 m steel tape supported throughout
its length under a pull of 4 kg at a mean temperature of
35°C. Tape used is of standard length at 20°C under a
pull of 5 kg. Cross-sectional area of tape is 0.03 𝑐𝑚2 .
Coefficient of thermal expansion is 0.0000116/°C,
modulus of elasticity of tape 2×106𝑘𝑔/𝑐𝑚2.
2. Determine the error of the tape due to change in
temperature.
a. 0.71467 c. 0.525322
b. 0.41677 d. 0.255223
3. Determine the error due to tension.
a. + 0.03992 c. - 0.03992
b. + 0.02631 d. - 0.02631
4. Determine the corrected length of the line.
a. 2394.278 c. 2397.325
b. 2395.112 d. 2395.627
5. An average person walk a distance with 220 paces. Find
the approximate distance walked in meters.
a. 212 c. 135
b. 168 d. 180
6. A distance of 1000 ft. is to be taped with an error of not
more than 0.10 ft. Determine how accurately each 100-
ft. length must be measured to ensure the error will not
exceed the permissible limit.
a. 0.093 ft. c. 0.051 ft.
b.
0.032 ft. d. 0.075 ft.
7. A student was asked to make a 365.24-m long line using
a 25-m tape that is 0.0024 m too long. What is the
required measurement?
a. 365.205 m b. 365.152 m
b. 365.458 m c. 365.275 m
8. A continuous structure built parallel to along to along
the margin of the sea or alongside riverbank, canals, or
waterways where vessels may lie alongside to receive
or discharge cargo, embark or disembark passengers or
lie at rest.
a. Pier c. Port
b. Wharf d. Lighthouse
9. It is defined as the number of vehicles per unit distance
occupying a section of roadway at a given instant in
time, and is usually measured in vehicles per mile or
vehicle per kilometre.
a. flow c. capacity
b. density d. volume
10. A line 100 m long was paced by a surveyor for four
times with the following data: 142, 145, 145.5, and 146.
Then another line was paced for four times again with
the following results: 790, 790.5, 789.5, and 791.
Determine the distance of the new line
a. 552.81 c. 564.41
b. 252. 81 d. 546.41
11. Using a 100 m tape, the area of a square field was
measured to be 4.5 hectares. The tape is found out to
be 0.06 m too long. What is the correct area of the lot
in square meters?
a. 45053.88 c. 45200.05
b. 45120.08 d. 45110.02
12. A type of thermoplastic lane marking designed to aid
and provide motorist with visual, audio, and motion
warning on the road.
a. regulatory signs c. chevron marking
b. diagonal marking d. rumble strip
13. Inform and advise road users of directions, distances,
routes, the location of services for road users, and
points of interest.
a. regulatory signs c. guide signs
b. warning signs d. traffic sign
14. Messages painted on pavement should be limited to
how many words only?
a. six words or less c. four words or less
b. five words or less d. three words or less
15. Assume that any distance of 100 ft. can be taped with
an error of 0.02 ft. if certain techniques are
employed. Determine the error in taping 5000 feet
using these skills.
a. 0.153 ft c. 0.141 ft
b. 0.194 ft d. 0.163 ft
16. The basic lane width appropriate for national road.
a. 2.40 m c. 1.80 m
b. 3.35 m d. 5.00 m
17. A 50-m tape weighing 1.075 kg has a standard pull of 8
kg. The tape’s cross-sectional area and modulus of
elasticity are 0.05 𝑐𝑚2and 200 GPa, respectively.
What pull (normal tension) is required in order that
the effect of the sag will be eliminated when the tape
is supported at the end point only?
a. 214.8 N c. 145.8 N
b. 163.5 N d. 197.3 N
18. A chain was used to check the distance between two
control points on a large building project. The distance
was measured and recorded as 600.172 m. after the
work was finished, it was decided to check that chain at
the location baseline. Upon checking, it was found out
that the chain was actually 29.992 m rather than
30.000. What is the actual length between the two
control points?
a. 600.012 m c. 600.052 m
b. 600.332 m d. 600.212 m
19. Primary consideration in the design of geometric cross-
section of, highways, runways, and taxiways.
a. Shoulder c. Railway
b. Drainage d. Parking space
20. What are the components of stopping site distance?
a. Reaction distance and Maneuver Distance
b. Reaction Distance and Braking Distance
c. Maneuver Distance and Breaking Distance
d. Reaction Time and Sight Distance

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