Unit Consistency and Conversions

Examples of solutions

Problem 1

The density of water is 1.00 g/cm3. What is this value in kilograms per cubic meter?

Problem 2

The Concorde is the fastest airline used for commercial service. It can cruise at 1450 mi/h (about twice the speed of sound),
a) What is the cruise speed in mi/s?
b) What is it in m/s?

Problem 3

With a wooden ruler you measure the length of a rectangular piece of a metal sheet to be 13 mm. You use a micrometer caliper to measure the width of the rectangle and obtain a value of 4.98 mm. Give your answers to the following questions with the correct number of significant figures, a) What is the area of the rectangle?
b) What is the ratio of the rectangle's width to its length?
c) What is the perimeter of the rectangle?

Problem 4

If a train travels 270 km from Brussels to Paris and then overshoots the end of the track by 10m, what is the percent error in the total distance covered?

Problem 5

As you eat your way through a bag of cookies you observe that each cookie is a circular disk of diameter 8.50 ± 0.02 cm and thickness 0.050 ± 0.005 cm. Find the average volume of each cookie.

Problems for solution without assistance

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