You are trying to measure the diameter of a circular lab table using a meter sti

Question

You are trying to measure the diameter of a circular lab table using a meter stick. You measure the diameter in a few directions and get 98.5 cm, 100.0 cm, and 97.8 cm. What is the area of the table? Estimate uncertainity in area of the table? Differences in methods used to estimate uncertainty in diameter and uncertainity in the area?

Suppose you are investigating a new phenomenon for first times. Should you conduct a observational, testing, or application experiment first. Why? What should you do next?

Explanation / Answer

98.5 cm; +100 cm;+ 97.8 cm./3 =98.766... +/-1.5%(about)
area = pi*98.2^2/4 = 7573.78cm^2 +/-3%
the area is a squared function of the diameter

uncertainity in diameter = +/-1.5%

uncertainity in are = (+/-1.5%) + (+/-1.5% ) = +/-3%

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