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Suppose that a particular artillery piece has a range of [tex]r = 4000[/tex] yards. Find its range in miles. Use the facts that 1 mile = 5280 feet and 3 feet = 1 yard.

Answer :

Any single quantity in the world can be interpreted in better than one way. Unit conversion is a method by that we can go back and forth between various units.

Unit conversion

Given:

R=9,350 ydR=9,350 yd is the range in yards

Since we want the content in miles here, we will be utilizing the conversion factor:

1 mi=528 ft1 mi=528 ft

3 ft=1 yd3 ft=1 yd

So to do a unit conversion process, we say these conversion factors as a particle that equals 11. We describe this concept in this precise conversion:

R=9,350 yd(3 ft1 yd)(1 mi528 ft)R=9,350 yd(3 ft1 yd)(1 mi528 ft)

We set up our conversion factors here as particles that equal 11. We set the units up in such a way that they can balance each other out:

We will thus get:

R=53.125 mi

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