1 Mile to Meters per Second: Understanding Conversion Formula
The conversion of 1 mile to meters per second is a vital concept in physics, particularly in the field of kinematics. In this article, we will delve into the conversion formula, explanation, and examples to help you grasp this fundamental concept.
What is 1 Mile?
A mile is a unit of distance equal to 1,760 yards or 5,280 feet. It is commonly used in the United States and the United Kingdom to measure distances. However, in the scientific community, the meter is the preferred unit of distance.
What is 1 Meter per Second?
A meter per second is a unit of speed in the International System of Units (SI). It represents the distance traveled in one second, measured in meters.
Conversion Formula
To convert 1 mile to meters per second, we need to perform two conversions: miles to meters and miles per hour to meters per second.
1 mile = 1609.34 meters (approx.)
Now, let's convert miles per hour to miles per second:
1 mile per hour = 0.44704 miles per second
Next, we convert miles to meters:
0.44704 miles per second × (1609.34 meters per mile) = 720.24 meters per second (approx.)
Examples and Applications
Example 1:
A car travels at a speed of 60 miles per hour. What is its speed in meters per second?
Using the conversion formula, we get:
60 miles per hour × (0.44704 miles per second) × (1609.34 meters per mile) ≈ 26.82 meters per second
Example 2:
A sprinter runs 100 meters in 10 seconds. What is her average speed in miles per hour?
First, we convert the distance from meters to miles:
100 meters ÷ 1609.34 meters per mile ≈ 0.06214 miles
Next, we find the speed in miles per hour:
0.06214 miles ÷ (10 seconds ÷ 3600) ≈ 22.36 miles per hour
In conclusion, understanding the conversion of 1 mile to meters per second is crucial in various fields, such as physics, engineering, and sports. By mastering this concept, you can accurately convert between different units of distance and speed.
