mph to m/s Formula
Before going to learn what is mph to m/s formula, let us recall what are mph and m/s. These two are the units of speed. Speed is the amount of distance traveled in unit time. Here are the full forms of mph and m/s. The mph means "miles per hour", and m/s means "meters per second". The mph to m/s formula is used to convert one unit into other quickly. Converting with the help of the mph to m/s formula gives the exact value up to 3 digits after the decimal. Let us see what is mph to m/s formula along with a few solved examples.
What is mph to m/s Formula?
First, let us recall what is a mile in meters and what is an hour in seconds. Speed is the distance traveled in unit time. The full form of mph and m/s is that the mph means "miles per hour", and m/s stands for "meters per second". Then we can easily convert mph into m/s. We know that:
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1 mile = 1.60934 km = 1609.34 meters.
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1 hour = 60 min = 60 × 60 seconds = 3600 seconds.
Let us derive the mph to m/s formula using these conversions.
Thus, to convert mph into m/s, we need to multiply by 0.447.
Examples Using mph to m/s Formula
Example 1: A train travels at a rate of 200 mph. What is its speed in m/s? Calculate it by using the mph to m/s formula.
Solution:
To find: The speed of the train in m/s.
The speed of the train = 200 mph.
Using the mph to m/s formula,
200 mph = 200 × 0.447 m/s = 89.4 m/s
Answer: The speed of the train = 89.4 m/s.
Example 2: A car travels at the rate of 145 mph. What is the distance covered by the car in 65 seconds? Calculate it by using the mph to m/s formula and round your answer to the nearest meter.
Solution:
To find: The distance covered by car (in meters) in 65 seconds.
The speed of the car = 145 mph.
Using the mph to m/s formula,
145 mph = 145 × 0.447 m/s = 64.815 m/s
It means, the car travels 64.815 meters in 1 second.
So the distance traveled by car in 65 seconds is
65 seconds × 64.815 m/s = 4212.975 meters
Answer: Distance covered by the car in 65 seconds = 4,213 meters (rounded to the nearest meter).