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Chapter 1: Q21DQ (page 27)

Figure 1.7 shows the result of an unacceptable error in the stopping position of a train. If a train travels 890 km from Berlin to Paris and then overshoots the end of the track by 10.0 m, what is the percent error in the total distance covered? Is it correct to write the total distance covered by the train as 890,010 m? Explain.

Short Answer

Expert verified

The percentage of error found in the system is 0.001m .

Step by step solution

01

 Error in data and its formula

A percentage or a simple ratio can also be used to express the uncertainty of a measured result. The percentage error may be thought of as the uncertainty that would arise if the measured value were 100 units.

The percentage error is the ratio of the difference of the true value with the assumed value and the true value.

Percentageerror=Assumedvalue-TruevalueTruevalue×100

02

 Step 2: Percentage of uncertainity

Percentageerror=10m890010m×100=1.1×10-3

Yes, it is correct to write the given statement because it is the actual distance covered by the train, though there is slight variation from the actual value.

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