Airplane and wind speed problem I can't figure out

In summary, the problem involves determining the wind speed needed to spin an airplane, weighing 6,000 lbs, so that its stationary back wheel acts as a pivot and its front wheel is moved 90 degrees from its original location. The wind is blowing directly into the side of the plane and no time duration is given. The solution involves considering the moment created by the wind in relation to the plane's weight at the center of gravity around the pivoting point, assuming frictionless wheel bearings. Alternatively, the airplane can be spun with a quick breath on its nose.
  • #1
Zauce
12
0

Homework Statement



Ok, an airplane weighs 6,000 (think of the airplane as a triangle) and one of the back two wheels is stationary and acts as a pivot. The airplane is on the ground. How fast does the wind need to be blowing to push the front wheel 90 degrees from the original location? Keep in mind the wheel is just dragged and provides no rolling support.
 
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  • #2
You need way more information then that. 6000 what? Is there a time duration this takes place in? How is the wind pushing on the airplane? More details...
 
  • #3
Sorry, it weighs 6,000 lbs. The wind is blowing directly into the side of the plane with no angle. Also, no time duration was given. If the problem needs a time, use, say, 5 minutes.
 
  • #4
Wind speed vs. an airplane problem

Homework Statement



An airplane weighs 6,000 lbs. It is parked on the ground and one of it's back wheels acts as a pivot and can't move (the other back wheel and front wheel can move). Assuming that the wind is blowing directly into side the plane and not at any angle, what is the wind speed required to spin the plane so that the front wheel is 90 degrees from where it started? Don't consider time constraints, just one big gush of wind.
 
  • #5
If the wheel bearings are frictionless enough, you could do it just by blowing on it.
 
  • #6


Zauce just relate the moment created by the wind to the plane's weight at the CG about the pivoting point
 
  • #7
(two threads merged into one...)
 
  • #8
I like tiny-tim's answer; give it a quick breath on its nose and the darn thing, in absence of friction and air drag, will spin forever...
 

1. What is the relationship between airplane speed and wind speed?

The speed of an airplane is affected by the speed and direction of the wind. If the wind is blowing in the same direction as the airplane, it will increase the airplane's speed. However, if the wind is blowing in the opposite direction, it will decrease the airplane's speed.

2. How does wind speed affect the time it takes for an airplane to reach its destination?

If the wind is blowing in the same direction as the airplane, it will decrease the time it takes for the airplane to reach its destination. On the other hand, if the wind is blowing in the opposite direction, it will increase the time it takes for the airplane to reach its destination.

3. How do I calculate the actual ground speed of an airplane with a given airspeed and wind speed?

The actual ground speed of an airplane can be calculated using the formula: ground speed = airspeed + wind speed (if the wind is blowing in the same direction) or ground speed = airspeed - wind speed (if the wind is blowing in the opposite direction). For example, if an airplane has an airspeed of 500 mph and the wind is blowing in the same direction at 50 mph, the actual ground speed would be 550 mph.

4. What is the difference between airspeed and ground speed?

Airspeed is the speed of an airplane in relation to the surrounding air. It is measured using an airspeed indicator and is not affected by wind. On the other hand, ground speed is the speed of an airplane in relation to the ground. It takes into account the speed and direction of the wind and is measured using GPS or radar.

5. Can wind speed change during a flight and how does it affect the airplane?

Yes, wind speed can change during a flight due to weather conditions. This can affect the airplane's speed and direction, leading to changes in the flight path. Pilots are trained to adjust their flight plans and make necessary changes to compensate for changes in wind speed.

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