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Chapter 2: Problem 18

What's the conversion factor from meters per second to miles per hour?

Short Answer

Expert verified
The conversion factor from meters per second to miles per hour is approximately \( \frac{3600}{1609.34} \) or about 2.23694.

Step by step solution

01

Understand the conversion relationships

There are 1609.34 meters in one mile. Similarly, there are 3600 seconds in one hour. Both these conversion factors will be used in this problem.
02

Set up the conversion

Assume the speed we want to convert is \( y \) meters per second. We want to find out how many miles per hour this equates to. So, the problem can be set up as: \( y \) meters/second \(\times\) (1 mile/1609.34 meters) \(\times\) (3600 seconds/1 hour).
03

Perform the conversion

The meters and seconds will cancel out each other, leaving us with miles per hour. Hence, \( y \) meters/second \(\times\) 1 mile/1609.34 meters \(\times\) 3600 seconds/1 hour = \( y \times \frac{3600}{1609.34} \) miles/hour

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