Conversion formula

The conversion factor from miles per hour to feet per second is 1.4666666666667, which means that 1 mile per hour is equal to 1.4666666666667 feet per second:

1 mph = 1.4666666666667 ft/s

To convert 509.5 miles per hour into feet per second we have to multiply 509.5 by the conversion factor in order to get the velocity amount from miles per hour to feet per second. We can also form a simple proportion to calculate the result:

1 mph → 1.4666666666667 ft/s

509.5 mph → V_(ft/s)

Solve the above proportion to obtain the velocity V in feet per second:

V_(ft/s) = 509.5 mph × 1.4666666666667 ft/s

V_(ft/s) = 747.26666666667 ft/s

The final result is:

509.5 mph → 747.26666666667 ft/s

We conclude that 509.5 miles per hour is equivalent to 747.26666666667 feet per second:

509.5 miles per hour = 747.26666666667 feet per second

Alternative conversion

We can also convert by utilizing the inverse value of the conversion factor. In this case 1 foot per second is equal to 0.0013382103666696 × 509.5 miles per hour.

Another way is saying that 509.5 miles per hour is equal to 1 ÷ 0.0013382103666696 feet per second.

Approximate result

For practical purposes we can round our final result to an approximate numerical value. We can say that five hundred nine point five miles per hour is approximately seven hundred forty-seven point two six seven feet per second:

509.5 mph ≅ 747.267 ft/s

An alternative is also that one foot per second is approximately zero point zero zero one times five hundred nine point five miles per hour.

Conversion table

miles per hour to feet per second chart

For quick reference purposes, below is the conversion table you can use to convert from miles per hour to feet per second