A hot air balloon was rising at a rate of 503 feet per minute (ft/min). Use the following facts to convert this speed to meters per second (m/s). 1 inch (in.) = 2.54 cm 1 m = 100 cm 1 foot (ft) = 12 in 1 min = 60 sec Round your answer to the nearest tenth. Do not type the units in the space below.
Question
A hot air balloon was rising at a rate of 503 feet per minute (ft/min). Use the following facts to convert this speed to meters per second (m/s).
1 inch (in.) = 2.54 cm 1 m = 100 cm 1 foot (ft) = 12 in 1 min = 60 sec
Round your answer to the nearest tenth. Do not type the units in the space below.
Solution
First, we need to convert feet to meters. We know that 1 foot is equal to 12 inches, and 1 inch is equal to 2.54 cm. So, to convert 503 feet to meters, we do the following:
503 feet * 12 inches/foot * 2.54 cm/inch * 1 meter/100 cm = 153.31 meters
Next, we need to convert minutes to seconds. We know that 1 minute is equal to 60 seconds. So, to convert the rate of 503 feet per minute to meters per second, we do the following:
153.31 meters/minute * 1 minute/60 seconds = 2.56 meters/second
Rounding to the nearest tenth, we get 2.6 m/s.
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