(a) A car speedometer has a 5.0% uncertainty. What is the range of possible speeds when it reads 90km/h?
(b) Convert this range to miles per hour. (1km=0.6214 mi)
a) The uncertainty in the velocity of the car is computed as
Therefore, the range of the possible speeds is
So the range of the possible speeds is 85.5 km/hr to 94.5 km/hr
b) Convert the range to mi/h
For 85.5 km/hr
For 94.5 km/hr
Therefore, the range can be represented as 53.13 mi/hr to 58.72 mi/hr.