Question

The length of a wire 2.00 m is measured as 2.02m. What is the percentage error in the measurement?

Answer 1

1%

Step-by-step explanation:

Percent error can be found by dividing the absolute error (difference between measure and actual value) by the actual value, then multiplying by 100.

`Percent Error=\frac{V_(measured)- V_(true) } {V_(true)} *100`

The measured value is 2.02 meters and the actual value is 2.00 meters.

`V_(measured)=2.02\\\\V_(true)=2.00`

`Percent Error=(2.02-2.00)/(2.00) *100`

First, evaluate the fraction. Subtract 2.00 from 2.02

`Percent Error=(0.02)/(2.00)*100`

Next, divide 0.02 by 2.00

`PercentError=0.01 *100`

Finally, multiply 0.01 and 100.

`Percent Error=1\\Percent Error= 1 \%`

The percent error is 1%.