Measurement Error Prelab Assignment
4-digit Code Number:_______________________________
Read Taylor Error Analysis, Chapters 1 and 2.
- How many significant figures are in each of these measurements?
- __________ 22.03 grams
- __________ 22.30 grams
- __________ 0.005 kg
- __________ 1.005 kg
- __________ 0.080 cm
- __________ 100.0 m
- __________ 3.0 miles
- __________ 6.010 cm3
- __________ 0.9 kg/m3
- __________ 0.500 sec
- __________ 1.500 sec
- __________ 6.3 x 103 m
- __________ 6.3 x 105 m
- __________ 1.70 x 10-4 J
- __________ 6000 miles ± 100 miles
- __________ 6000 miles ± 10 miles
- __________ 6000 miles ± 1 mile
- Describe a way to measure (not calculate) the circumference of a cylinder
to the nearest 0.1 mm using only a nonflexible ruler graduated in millimeters.
Do not use the formulae
C=2 radius or
measure the circumference directly. Also note that the required
measurement uncertainty is 0.1 mm while the ruler itself is graduated
in whole millimeters and has a reading error of 0.5 mm (five times
larger than requested). Think of a way to reduce the uncertainty.
- Let R be the ratio of circumference to diameter R = C/ d.
Derive the error propagation formula for the uncertainty in R
R), like we did for the area last week in lab.
- Pay attention to significant figures in this problem.
Suppose that the Earth is a perfectly smooth sphere of radius
RE = 6.37 x 106 meters.
A rope encircles the Earth at the equator.
- What is the length of the rope?
- A second rope is to encircle the Earth above the equator, but at an
altitude of 1.00 meter above the ground. What is the length of the
- What is the difference in length of the two ropes? Are you surprised
by this result? Explain.
Go to the lab