Back To Course

GED Math: Tutoring Solution29 chapters | 304 lessons

Watch short & fun videos
**Start Your Free Trial Today**

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 55,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Gerald Lemay*

Gerald has taught engineering, math and science and has a doctorate in electrical engineering.

Both meters per second and miles per hour are valid units for speed and velocity. In this lesson, you will learn a quick way to convert from one unit to the other. We'll also see how we can make this conversion more accurate.

To convert a speed in meters per second to a number of miles per hour, we use:

- 1 meter per second = 2.2369 miles per hour, accurate to 5 significant figures

Let's do an example to outline the steps used in the conversion:

The average walking speed of an adult is 1.34 meters per second. What is this speed in miles per hour?

Multiply the given value with the conversion factor. We know the conversion factor is 2.2369. Therefore:

- 1.34(2.2369) = 2.997446

Determine the number of significant figures:

- The number 1.34 has 3 significant figures
- The number 2.2369 has 5 significant figures

Round the answer to the lesser number of significant figures. Since the lesser number of significant figures is 3, we round the answer to 3 significant figures:

- 2.997446 rounds to 3.00 when we keep 3 significant figures

Thus, 1.34 meters per second converts to 3.00 miles per hour.

Another way to say how to convert *x* meters per second to miles per hour is to multiply *x* by 2.2369 and then round to the number of significant figures in *x*. This solution will work for most of the cases you encounter. Of course, if *x* has more than 5 significant figures, we will need a more accurate conversion factor.

The conversion factor, 2.2369, has 5 significant figures and works very well when the speed to be converted is a number of meters per second with 5 or less significant figures. We will now show where the number, 2.2369, comes from and how to extend it to have more significant figures.

Speed is a measure of distance and time. We can develop our ability to do unit conversions, by looking at time and distance separately.

First, time. There are 3600 seconds in 1 hour:

Second, distance. The following conversion factors are completely accurate:

- 5280.00 feet = 1.00 mile
- 12.00â€¦ inches = 1.00 foot
- 2.5400â€¦ cm = 1.00 inch
- 100.00â€¦ cm = 1.00 m
- 1000.00â€¦ m = 1.00 km

Combining these conversion factors so the units cancel:

Everything except miles over hours cancels out:

The result is 2.236936292054402â€¦ and is only limited in accuracy by the word size of the computer or calculator. The idea is to round this conversion factor to a number of significant digits which is at least one more than the accuracy of the number to convert.

For example, let's convert 9.10575 meters per second to miles per hour.

Select the accuracy for the conversion factor. The number 9.10575 has 6 significant figures. Thus, round the conversion factor, 2.236936292054402â€¦, to 7 significant figures, which is:

- 2.236936

Multiply by the conversion factor. The conversion factor is 2.236936, so:

- 9.10575(2.236936) = 20.36897998200

Determine the number of significant figures.

- The number 9.10575 has 6 significant figures
- The number 2.236936 has 7 significant figures

Round the answer to the lesser number of significant figures. The lesser number of significant figures is 6 so we round the answer to 6 significant figures, which is:

- 20.36897998200â€¦ rounds to 20.3690

Thus, 9.10575 meters per second converts to 20.3690 miles per hour.

We have discovered how to convert meters per second to miles per hour. Now that you understand the basics of 1 meter per second = 2.2369 miles per hour and being accurate to 5 significant figures, you can use this equation any time you need it!

To unlock this lesson you must be a Study.com Member.

Create
your account

Already a member? Log In

BackDid you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
16 in chapter 7 of the course:

Back To Course

GED Math: Tutoring Solution29 chapters | 304 lessons

- Ratios & Rates: Definitions & Examples 6:37
- How to Solve Problems with Money 8:29
- Proportion: Definition, Application & Examples 6:05
- Calculations with Ratios and Proportions 5:35
- How to Solve Interest Problems: Steps & Examples 6:05
- Compounding Interest Formulas: Calculations & Examples 7:45
- Taxes & Discounts: Calculations & Examples 8:07
- How to Solve Problems with Time 6:18
- Distance Formulas: Calculations & Examples 6:31
- How to Convert Quarts to Gallons
- What is 1.8 as a Fraction? - How-To & Steps 5:13
- How to Convert Cups to Gallons
- How to Convert Pints to Gallons
- Calculating a 10 Percent Discount: How-to & Steps 3:08
- Calculating a 20 Percent Discount: How-to & Steps 3:27
- How to Convert Meters per Second to Miles per Hour 6:19
- Dividing by Powers of Ten: Steps & How-to
- How to Calculate Percentage Discount
- Go to Calculations, Ratios & Proportions: Tutoring Solution

- GACE Political Science Test I: Practice & Study Guide
- NES Assessment of Professional Knowledge - Secondary: Test Practice & Study Guide
- GACE School Psychology Test I: Practice & Study Guide
- GACE School Psychology Test II: Practice & Study Guide
- NES Assessment of Professional Knowledge - Elementary: Test Practice & Study Guide
- Spanish Lesson Plans About Holidays
- Food in Spanish Lesson Plans & Resources
- Studying for Business 121
- Spanish Verb Tenses
- Discussing Social Issues in Spanish
- Common Core State Standards in Ohio
- Resources for Assessing Export Risks
- Preview Personal Finance
- California School Emergency Planning & Safety Resources
- Popsicle Stick Bridge Lesson Plan
- California Code of Regulations for Schools
- WV Next Generation Standards for Math

- Western Region of the U.S. Lesson for Kids: Facts & Climate
- What Are Company Financial Statements? - Definition, Analysis & Examples
- Practice Applying Newton's First Law
- Blood on the River: Summary & Characters
- Ottonian Art: History, Characteristics & Style
- Pre-Observation Meeting in Teacher Coaching
- HIPAA HITECH Act: Summary & Provisions
- Identifying & Preventing Plagiarism in Online Learning
- Quiz & Worksheet - Red Blood Cells Facts for Kids
- Quiz & Worksheet - Comparing Early River Valley Civilizations
- Quiz & Worksheet - Richard Parker in Life of Pi
- Quiz & Worksheet - The Canterville Ghost Chapter 5
- Independent Variables: Quiz & Worksheet for Kids
- Growth & Opportunity for Entrepreneurs Flashcards
- Understanding Customers as a New Business Flashcards

- Communication Skills for Customer Service
- Animal Behavior Study Guide
- GED Reasoning Through Language Arts
- FSA - Grades 9-10 ELA: Test Prep & Practice
- Architectural Design & History
- AP Biology - Inorganic Chemistry: Help and Review
- NY Regents - Absolutism and Constitutionalism in Western Europe (1648-1715): Tutoring Solution
- Quiz & Worksheet - General & Oceanic Atmospheric Circulation
- Quiz & Worksheet - Adjectives, Adverbs, Nouns & Agreement Errors
- Quiz & Worksheet - Internet's Influence on Business Operations & Interactions
- Quiz & Worksheet - Networking with Professionals
- Quiz & Worksheet - Transformations in Math

- Arctic Oscillation & North Atlantic Oscillation
- Adaptive Learning: Definition, History & Methodology
- How to Pass Statistics
- How to Flip Your Classroom with Study.com
- College Scholarships for Adults
- How to Pass the Algebra Regents Exam
- Activities for Kids with Cerebral Palsy
- California Department of Education: Educator Effectiveness Funds
- Middle School Reading List
- Best Online College English Courses
- What to Do When Studying Abroad
- Shape Games for Kids

Browse by subject