Surveying Sample Problems
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Sample Problems
Measurements and Instruments
Pull Correction
Problem
What pull (normal tension) is required in order that the effect of sag will be eliminated when the tape is supported at end points only? The tape has a standard pull of 8kg. The tape’s cross sectional area and modulus of elasticity are 0.05cm2 and 200GPa. Weight of the tape is 0.9kg and the nominal tape length is 30m.
A. 15.2 kg
B. 18.3 kg
C. 12.7 kg
D. 25.4 kg
Slope Correction
Problem
A distance was measured on an 8% slope and found to be 2528.75m. What is the horizontal distance measured in meters?
A. 2589.365
B. 2520.697
C. 2463.587
D. 2625.365
Tape Too Long/Short
Problem
A rectangular field was measured using a 100-m tape, which was 10 cm too short. The recorded area was 4500 m². What is the true area of the field?
A. 4504.5 m²
B. 4509 m²
C. 4495.5 m²
D. 4491 m²
Problem
The foundation of the building is to be 10.50m × 15.75m. If an old metallic tape known to be 15.025m long is used in setting its corners, what measurement must we make?
A. 10.518m × 15.776m
B. 10.482m × 15.724m
C. 10.482m × 15.776m
D. 10.518m × 15.724m
Problem
A rectangular lot was measured using 30-m metallic tape which was later found to be 8 mm too short. The recorded dimension were 128.5m long by 98.54 m wide. What is the error in area?
A. +2.48 m²
B. -2.48 m²
C. +6.75 m²
D. -6.75 m²