To calculate the percent uncertainty, we need to divide the absolute uncertainty by the measured value and multiply by 100%.
Given: Absolute uncertainty (Δx) = 0.50 cm Measured value (x) = 20 m
First, we convert the units of the absolute uncertainty to meters: Δx = 0.50 cm = 0.005 m
Now, let’s calculate the percent uncertainty: Percent uncertainty = (Δx / x) * 100%
= (0.005 m / 20 m) * 100%
≈ 0.025%
Therefore, the percent uncertainty of the measuring tape is approximately 0.025%.
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