Unit Conversions and Significant Figures The Bugatti Veyron Super Sport is currently the fastest production car in the world, with a measured top speed of 267 miles per hour (and a price of $2.4 million). What is this speed in kilometers per hour? STRATEGY The known information is the speed in

Question

Unit Conversions and Significant Figures

The Bugatti Veyron Super Sport is currently the fastest production car in the world, with a measured top speed of 267 miles per hour (and a price of $2.4 million). What is this speed in kilometers per hour?

STRATEGY
The known information is the speed in mi/h; the unknown is the speed in km/h. Find the appropriate conversion factor inside the back cover of this book, and use the dimensional analysis method to set up an equation so the “mi” units cancel. The answer should be rounded to three significant figures

Accepted Answer

[latex]\frac{267 \ \cancel{mi}}{1 \mathrm{~h}} imes \frac{1.609 \mathrm{~km}}{1 \ \cancel{mi}}=430 \frac{\mathrm{km}}{\mathrm{h}}[/latex]

BALLPARK CHECK
The answer is certainly large, perhaps several hundred km/h. A better estimate is to realize that, because 1 mi = 1.609 km, it takes a bit more than 1 1/2 times as many kilometers as miles to measure the same distance. Thus, 267 mi is a bit more than 400 km, and 267 mi/h is over 400 km/h. The estimate agrees with the detailed solution.

Question 0.6: Unit Conversions and Significant Figures The Bugatti Veyron ......

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