How much energy is saved per airplane

In summary, the airline executive orders the removal of paint from the outer surface of the planes to reduce energy and fuel consumption. The removed paint weighs approximately 100 kg and the executive wants to know how much energy is saved by not having to lift the paint to an altitude of 26,000 m and not having to move it from rest to a cruising speed of 270 m/s. The equations used to calculate this are K=1/2mv^2 and W=ΔKE, and for the potential energy, Ug=mgh.
  • #1
cstout
37
0

Homework Statement



An airline executive decides to economize by reducing the energy, and thus the amount of fuel, required for long distance flights. He orders the ground crew to remove the paint from the outer surface of each plane. The paint removed from a single plane has a mass of approximately 100 kg. (a) If the airplane cruises at an elevation of 26,000 m, how much energy is saved in not having to lift the paint to that altitude? (b) How much energy is saved per airplane by not having to move that amount of paint from rest to a cruising speed of 270 m/s?


Homework Equations



K=1/2mv2

W= Change in Kinetic Energy


The Attempt at a Solution


Part A - I don't know what to do

Part B.
K =(1/2)(100kg)(270)^2 ----but this is wrong
 
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  • #2
cstout said:

Homework Statement



An airline executive decides to economize by reducing the energy, and thus the amount of fuel, required for long distance flights. He orders the ground crew to remove the paint from the outer surface of each plane. The paint removed from a single plane has a mass of approximately 100 kg. (a) If the airplane cruises at an elevation of 26,000 m, how much energy is saved in not having to lift the paint to that altitude? (b) How much energy is saved per airplane by not having to move that amount of paint from rest to a cruising speed of 270 m/s?


Homework Equations



K=1/2mv2

W= Change in Kinetic Energy


The Attempt at a Solution


Part A - I don't know what to do

Part B.
K =(1/2)(100kg)(270)^2 ----but this is wrong
I think in A they are asking for the savings in work done against gravity...that is, the savings in Potential Energy (PE). For B, I believe they are looking for the total energy savings with both PE and KE savings summed together.
 
  • #3
in part a you must determine the amount of energy required to lift 100kg to an altitude of 26,000 m. Remember gravitational potential energy is given by Ug=mgh
 

Related to How much energy is saved per airplane

1. How is energy saved per airplane?

The amount of energy saved per airplane is dependent on various factors such as the type of aircraft, its weight, and the distance traveled. However, some common ways of saving energy include optimizing flight routes, using more efficient engines, and reducing weight through design and materials.

2. What is the average amount of energy saved per airplane?

The average amount of energy saved per airplane can range from 5-15% depending on the factors mentioned above. This translates to a significant amount of fuel and cost savings for airlines.

3. How does the use of alternative fuels affect the amount of energy saved per airplane?

The use of alternative fuels, such as biofuels, can significantly reduce the amount of energy consumed by airplanes. These fuels are more sustainable and have a lower carbon footprint compared to traditional jet fuel, leading to greater energy savings.

4. What are some future developments that could further increase energy savings per airplane?

One future development that could increase energy savings per airplane is the use of electric or hybrid-electric propulsion systems. These systems have the potential to significantly reduce fuel consumption and emissions, leading to greater energy savings.

5. How can individuals contribute to energy savings per airplane?

As individuals, we can contribute to energy savings per airplane by choosing to fly with airlines that have a strong commitment to sustainability and use more energy-efficient aircraft. We can also reduce our carbon footprint by opting for non-stop flights, packing light, and choosing economy class over first or business class.

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