Question

In: Mechanical Engineering

It took the Space Shuttle Orbiter about 90 min to complete one trip around the Earth. Estimate the spacecraft’s orbital velocity in units of mph.

It took the Space Shuttle Orbiter about 90 min to complete one trip around the Earth. Estimate the spacecraft’s orbital velocity in units of mph. Make the approximation that the altitude of the spacecraft (approximately 125 mi) is small when compared to the radius of the Earth (approximately 3950 mi).

Solutions

Expert Solution

The approximation made is that the altitude of the spacecraft is small when compared to the earth’s radius. This means that the path travelled by the spacecraft is equal to the earth’s radius 3950 mil. The time taken to complete 3950 mil time taken is 90 min. Hence the distance travelled in 1 hr is

 

(9550 mi) × {1 h/(90/60) h} = 2633.3 mi

 

Therefore the orbital velocity is 2633.3 mph.


Therefore the orbital velocity is 2633.3 mph.

Related Solutions

1. If the Moon takes 27.3 days to complete its orbital path around the Earth, and...
1. If the Moon takes 27.3 days to complete its orbital path around the Earth, and the orbit has a radius of 3.8 x 108 meters, what is the Earth's Mass? Express your answer using scientific notation with three significant figures. (Note: Earth's Mass has been listed on other materials and questions. The value for the Moon's orbital period has been modified so it's close to that value, but not exactly that value. Make sure to do the calculations for...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT