Wednesday, February 13, 2013

Airplane Math 2

by Math 4
Our flight planning continues...

We were planning a mission to go from Wallops Space Flight Center to Boston, to NYC, to Philadelphia, to Baltimore, to Washington, DC and back to Wallops.

We are testing air quality and circling each of these cities once. 



We will be flying NASA's P-3B Orion. 

NASA P-3B Orion in flight
Discover-AQ


To find out if our mission was possible we had to do some math. YAY!!! (standing O for math)

When flying between cities we are flying 450 mph. When circling to collect data we are flying 250 mph. Each circle for collecting data is 125 miles. There are five circles. 

First we added up all the spaces between each city.
417 mi + 191 mi + 81 mi + 89 mi + 36 mi + 121 mi = 935 miles
We need to figure out how much fuel this will take.
To do this, we need to know how much time it will take to fly 935 miles. We need to divide 935 by 450. That equals 2 hrs with a remainder of 35 miles. We then had to figure out how long it will take to fly 35 miles. It will take an extra 5 minutes to fly the remaining 35 miles. Total cruise time is 2 hrs 5 min.

Now we need to know how much fuel for data collection. Each circle is 125 miles and there are five of them. 125 x 5 = 625 miles. It will take 2 hrs 30 minutes. (625 / 250 = 2 and 1/2)
[insert work here]


Total mission time: 
2 hr 5 min (cruise) + 2 hr 30 min (data) + 3 hrs (safety margin) = 7 hrs 35 min
This would take 32,502 lbs of fuel.


YAY!!! We can fly the mission with almost 30,000 lbs of fuel to spare!
Emily and Sally asked us if we were going to do more than one spiral at each city. Now we need to see if we can do that.  

Friday, February 1, 2013

Airplane Math

by Math 4
4th Grade Math is practicing their multiplication and division skills. We decided to make some problems that NASA Mission Planners might need to work out.

NASA Airborne Research has a variety of airplanes that they use for Earth Science research. These planes are like flying laboratories and observation posts. The chart below gives some information about some of the aircraft used in missions we’ve been following this year. We are using this data to create interesting multiplication and division problems.


***
Global Hawk UAVDC-8P-3 Orion
12,000 lbs of fuel160,000 lbs of fuel60,000 lbs of fuel
30 hours flight duration12 hours flight duration14 hours flight duration
Take-off Weight: 25,600 lbsTake-off Weight: 340,000 lbsTake-off Weight: 135,000 lbs
1900 lb payload30,000 lb payload14,700 lb payload
397 mph518 mph460 mph
12,658 mile flight range6214 mile flight range4373 mile flight range
65,000 ft max altitude41,000 ft max altitude32,000 ft max altitude
Humans: 0 (UAV)Humans: 50Humans: 24
Missions: HS3, ATTREXMissions: OIBMissions: Discover-AQ
Flights: 9Flights: 23Flights: 10
***

Our first problem: How much fuel does each plane use in one hour of flight?