To calculate the time it would take for an aircraft flying at Mach 3.2 to cover a distance of 5555 kilometers, we first need to convert the speed from Mach to a speed in kilometers per hour (km/h).
-
Mach Speed Conversion: Mach 1 is approximately equal to the speed of sound, which is about 1,236 kilometers per hour at sea level (though it varies with altitude and temperature). For an approximate value, we'll use:
\[ \text{Mach 3.2} \approx 3.2 \times 1236 \text{ km/h} \approx 3955.2 \text{ km/h} \]
-
Calculating Time: Next, we can use the formula for time, which is:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
Substituting in the known values:
\[ \text{Time} = \frac{5555 \text{ km}}{3955.2 \text{ km/h}} \approx 1.404 \text{ hours} \]
-
Convert Time to Minutes: To convert hours into minutes, multiply the hours by 60:
\[ \text{Time in minutes} = 1.404 \text{ hours} \times 60 \text{ minutes/hour} \approx 84.24 \text{ minutes} \]
Thus, it would take approximately 84.24 minutes to complete the journey between New York and London at a speed of Mach 3.2.
1 answer