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How to Convert Miles per Hour to Meters per Second

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  • 0:00 Steps to Solve
  • 1:51 Another Example
  • 4:01 An Alternate Method
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Lesson Transcript
Instructor: Artem Cheprasov

Artem has a doctor of veterinary medicine degree.

In this lesson, we'll learn how to quickly and easily convert from miles per hour to meters per second with simple conversion factors and steps. We'll also see where this conversion often occurs and a quick alternative method to solve the same problem.

Steps to Solve

Converting from miles per hour (mph) to meters per second (m/s) is quite easy. Let's look at an example. What would 100 mph be in m/s? To figure this out, we'll have to make use of a conversion factor. Let's go step by step.

Step 1

Convert the distance units. We need to convert from miles to meters using the following conversion factor:

  • 1 mile = 1,609.34 meters

From this, we can find out how many meters there are in 100 miles:

  • (100 miles) x (1,609.34 meters/mile) = 160,934 meters

So, we now know that 100 mph is the same as 160,934 meters per hour.

Step 2

Convert units of time from hours to seconds. You probably know the conversion factor for this:

  • 1 hour = 3,600 seconds

So, *160,934 meters/hour = 160,934 meters/3,600 seconds

Step 3

Divide the numerator (in this case: 160,934) by the denominator (3,600) to get an answers in m/s:

  • 160,934 meters/3,600 seconds = 44.7 m/s

And that's our answer!

Another Example

Let's look at another example. Nothing can go faster than the speed of light. That speed is approximately 670,616,629 miles per hour. However, in science, we use m/s for the speed of light way more often than we do mph. What if a homework problem gives you the speed of light in miles per hour when you need it in m/s? What should you do? Just convert it using the steps from earlier!

First, let's convert the miles in mph into meters per hour. Recall:

  • 1 mile = 1,609.34 meters

Using this in our problem, we get:

  • (670,616,629 miles) x (1,609.34 meters) = 1,079,252,848,181.4 meters

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