The radius of Earth at the equator is approximately 4000 miles.
Suppose a jet flies once around Earth at a speed of 5000 miles an
hour relative to Earth. If the flight path is a negligible height
above the equater, then among the following choices, what is the
best estimate of the number of hours of flight?
(a) 8
(b) 25
(c) 50
(d) 75
(e) 100
I'am more than positive that the answer is A. Just double checking. Thanks.
Is the Jet flying East, over the poles, or West?
The Earth is moving East all the time. So if flying East, the plane has to fly once around the globe, but the globe has turned. How far did it turn? appx 1000mph*time
How far did the plane fly? 2*4000*PI+ 1000t
d=rt
8000PI+1000t=(5000-1000)t
the ( ) converts air speed to real.
t= 8.3 hrs
Now if the planes flies polar, or west, the answer is different.
To find the number of hours of flight, we need to calculate the distance the jet travels by going around Earth once.
The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius is given as 4000 miles.
So, the distance the jet travels is approximately 2π(4000) miles.
To find the time it takes for the jet to travel this distance, we can use the formula Time = Distance/Speed.
Plugging in the values, we get:
Time = (2π(4000))/5000 hours.
Now, let's calculate this:
Time ≈ 25.13 hours.
Since we are looking for the best estimate of the number of hours of flight, the closest option to 25.13 is option (b) 25.
So, the best estimate of the number of hours of flight is 25.