Question

(a) If your speedometer has an uncertainty of 2.0km/h at a speed of 90km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?

Answer 1

Answer:

a) 2.22 %

b) Range would be 60±1.998 km/h

Explanation:

Percentage uncertainty indicates the error of a reading. With the percentage uncertainty error for a measurement can be calculated.

a) Percentage uncertainty would be

$2\times \frac{100}{90}=2.22%$

Percent uncertainty is 2.22%

b) For 60 km/h error would be

$\frac{2.22}{100}\times 90=1.998$

Range would be 60±1.998 km/h