Question

(20\%) Problem 4: A good-quality measuring tape can be off by 0.54 cm over a distance of 23 m. used this answer. submission history. n this question npleted What is its percent uncertainty?

Answer 1

Explanation:

o calculate the percent uncertainty, we need to divide the uncertainty (0.54 cm) by the measured value (23 m) and then multiply by 100 to get the percentage.

Step 1: Convert the measurement to a consistent unit. Since the uncertainly is given in centimeters (cm), we should convert the measured value from meters (m) to centimeters.

23 m = 23 * 100 cm = 2300 cm

Step 2: Calculate the percent uncertainty using the formula:

Percent Uncertainty = (Uncertainty / Measured Value) * 100

Percent Uncertainty = (0.54 cm / 2300 cm) * 100

Percent Uncertainty ≈ 0.02347826 * 100 ≈ 2.35%

Therefore, the percent uncertainty for the measuring tape is approximately 2.35%.