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Chapter 1: Q12PE (page 11)

A good-quality measuring tape can be off by 0.50 cmover a distance of20 m. What is its percent uncertainty?

Short Answer

Expert verified

The Percent Uncertainty given case is δL=0.025%.

Step by step solution

01

Defining concept of percentage uncertainty

Percentage uncertainty is just 100 percent related uncertainty. Since percentage uncertainty is also a measure of the same value, it has no units.

Given Data

Consider the given data as below.

Original Length= L=20m

Uncertainty in Length, δ1=0.50cm=0.50×10-2m

02

Defining percentage uncertainty formula

According to a mathematical formula,-

PercentUncertainty=δ1L×100%δL=0.50×10-2m20m×100%=0.025%

03

Stating conclusion

The Percent Uncertainty in the given case is δL=0.025%.

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