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sleet_krkn [62]
3 years ago
13

When measuring the diameter of a cylinder the following measurements are obtained.

Physics
1 answer:
Arlecino [84]3 years ago
7 0

Answer:

a. 1.80 %

b. 0.60 %

c. 1.20 %

d. 0.60 %

e. 0.60 %

Explanation:

In order to calculate percent uncertainties in each case, we forst need to calculate the average value:

Average Diameter = (16.4 mm + 16.8 mm + 16.9 mm + 16.6 mm +16.8 mm)/5

Average Diameter = 16.7 mm

Now, the formula for percent uncertainty is:

% Uncertainty = (Uncertainty/Average) * 100 %

where,

Uncertainty = |Value - Average|

For Each Case:

<u>a. 16.4 mm</u>:

Uncertainty = |16.4 mm - 16.7 mm| = 0.3 mm

Therefore,

% Uncertainty = (0.3 mm/16.7 mm) * 100%

<u>% Uncertainty = 1.80 %</u>

<u></u>

<u>b. 16.8 mm</u>:

Uncertainty = |16.8 mm - 16.7 mm| = 0.1 mm

Therefore,

% Uncertainty = (0.1 mm/16.7 mm) * 100%

<u>% Uncertainty = 0.60 %</u>

<u></u>

<u>c. 16.4 mm</u>:

Uncertainty = |16.9 mm - 16.7 mm| = 0.2 mm

Therefore,

% Uncertainty = (0.2 mm/16.7 mm) * 100%

<u>% Uncertainty = 1.20 %</u>

<u></u>

<u>d. 16.6 mm</u>:

Uncertainty = |16.6 mm - 16.7 mm| = 0.1 mm

Therefore,

% Uncertainty = (0.1 mm/16.7 mm) * 100%

<u>% Uncertainty = 0.60 %</u>

<u></u>

<u>e. 16.8 mm</u>:

Uncertainty = |16.8 mm - 16.7 mm| = 0.3 mm

Therefore,

% Uncertainty = (0.1 mm/16.7 mm) * 100%

<u>% Uncertainty = 0.60 %</u>

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