College Physics Problem 1.12

A good-quality measuring tape can be off by 0.50 cm over a distance of 20 m. What is its percent uncertainty?

SOLUTIONS:

The percent uncertainty can be calculated by the uncertainty divided by the total measure. That is,

%uncertainty=frac{delta_{l}}{l}

%uncertainty=frac{0.5 cm}{20 m}times frac{1m}{100 cm}times 100%

%uncertainty=0.025%

Therefore, the percent uncertainty is 0.025%.

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