A space shuttle 200 miles above the earth is orbiting the. Earth once every 6 hours. how far does the shuttle travel in one hour? Note the radius of earth about 4000 miles.
circumference = 2π(4200) = 8400π miles
It does this in 6 hours, so in 1 hour ---> 8400π/6 or appr. 4398.2 miles
Well, let me crunch some numbers while I juggle a few imaginary planets.
If the space shuttle is orbiting the Earth once every 6 hours, we need to find out how far it travels in one hour.
The circumference of a circle (which is basically what the orbit is) can be calculated by multiplying the diameter of the circle by π (pi). Since we know that the radius of the Earth is about 4000 miles, we can double that to find the diameter, which would be 8000 miles.
So, the circumference of the orbit would be 8000 × π ≈ 25132 miles.
Now we just need to figure out how much distance it covers in one hour. Since it orbits the Earth once every 6 hours, we can divide the total distance by 6. That gives us approximately 4188 miles.
Therefore, in one hour, the space shuttle would travel about 4188 miles. That's quite a journey! Just make sure you don't forget to pack some space snacks for the trip.
To find out how far the space shuttle travels in one hour, we need to calculate the circumference of its orbit.
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the radius of the Earth's orbit is the sum of the Earth's radius (4,000 miles) and the altitude of the space shuttle (200 miles). So, the radius of the space shuttle's orbit is 4,200 miles.
Therefore, the circumference of the space shuttle's orbit is:
C = 2π(4,200)
C ≈ 26,400π miles
Since the space shuttle completes one orbit in 6 hours, we need to find out the distance it travels in one hour.
In 6 hours, the space shuttle travels a distance equal to the circumference of its orbit:
Distance traveled in 6 hours = 26,400π miles
To find the distance traveled in one hour, we divide the distance by 6:
Distance traveled in one hour = (26,400π miles) / 6
Distance traveled in one hour ≈ 4,400π miles
Approximately, the space shuttle travels 4,400π miles in one hour.
To find out how far the space shuttle travels in one hour, we can start by calculating its circumference (distance around the Earth's orbit) and then divide it by the time it takes for one orbit.
The circumference of a circle is given by the formula:
C = 2πr
Where C is the circumference and r is the radius of the circle (in this case, the orbit of the space shuttle).
Given that the radius of the Earth's orbit is 4000 miles, we can calculate the circumference:
C = 2π(4000) = 8000π miles
Since the space shuttle completes one orbit every 6 hours, we need to find out how much distance it travels in one hour.
Distance traveled in one hour = Circumference / Time taken for one orbit
= (8000π miles) / (6 hours)
Now we can simplify the expression:
= (4000π/3) miles
So, the space shuttle travels approximately 4000π/3 miles in one hour.
To get an exact numerical value, we can use the approximation π = 3.14:
Distance traveled in one hour ≈ (4000 * 3.14) / 3 = 4186.67 miles
Therefore, the space shuttle travels approximately 4186.67 miles in one hour.
The actual circular orbit velocity of a pseudo-space shuttle at 200 miles altitude above the earth of 3963 miles radius is 17,257 mph, taking ~91 minutes to complete an orbit.
I can only assume that the numbers given you for the stated problem were to allow you to exercise the process of solving.