1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TEA [102]
3 years ago
5

Modern commercial airliners are largely made of aluminum, a light and strong metal. But the fact that aluminum is cheap enough t

hat airplanes can be made out of it is a bit of historical luck. Before the discovery of the Hall-Héroult process in , aluminum was as rare and expensive as gold. What would happen if airplanes had to be made of steel? The fuselage of the Boeing 747, which can carry passengers, is approximately a hollow aluminum cylinder without ends, long, wide, and thick (see sketch at right). The fuselage of an airplane Suppose this fuselage was made of steel (density ) instead of aluminum (density ), and let's say the average passenger has a mass of . We'll also assume the engines can't lift any greater mass than they already do. Calculate the number of passengers that the Boeing 747 could carry if its fuselage was made of steel.
Physics
1 answer:
iVinArrow [24]3 years ago
3 0

Answer:

 n = 291 people

Explanation:

To solve this interesting problem we are going to take some data from the tables, the density of 7075 aluminum is 2.8 103 kg / m³, the density of 316 stainless steel is 7980 kg / m³, where we have selected one of the most used alloys in for its resistance.

The average mass of a passenger is mo = 80kg and the Boeing 747 aircraft can carry 550 passengers and a crew of 18 people with a length of 70.66 m,

Let's start by calculating the mass of the empty plane and the mass of the passengers

         ρ_Al = m_Al / V

         m_Al = ρ_Al V

         m_passenger= #_pasajeros 80

         m_passenger = 550 m₀

         

The total mass of the plane is

          M = m_passengers + m_Al

If the plane is built face to face, the mass of this material is

        ρ_Acero = m_steel / V

         

the total mass of avino is

         M = m_pasajeros` + m_steel

As they indicate the total mass of the plane must remain constant

         m_passengers + m_Al = m_passengers` + m_steel

let's substitute the values

         550 m₀ + 2.8 103 V = n m₀ + 7.98 103 V

where V is the volume of the material used which is the same in both cases

         n = 550 mo + (2.8 - 7.98) 103 V = n mo

         n = n = 550 + (2.8 - 7.98) 103 V / mo

The calculation of the volume of material used depends on the thickness of the sheet and the resistance of the material, if it assumes that it has the same thickness, e = 1 cm, approximate the volume to the length of the circle by the length of the cylinder by the thickness

         V = (2π r) L e

  the diameter of the plane approximately the height of the person

         d = 1.8 m

         V = 2π (1.8 / 2) 70.66 1 10⁻²

         V = 3.9957 m³

  we substitute

          n = 550 - 5.18 10³ (3.9957) / 80

          n = 550 - 258.7

          n = 291 people

You might be interested in
What is the magnitude of the impulse that would cause the 2-kg box to accelerate from 2 m/s to 5 m/s?
Law Incorporation [45]

6 J is the impulse caused by the change in velocity of 2 kg box from 2 m/s to 5 m/s.

Answer:

The magnitude of impulse is 6 J.

Explanation:

Impulse is the force acting on any object for a given time interval. As force is equal to the product of mass and acceleration and acceleration is the rate of change of velocity with time. Then the product of force with time interval will be equal to the product of mass with change in velocity.

F = m a = \frac{m(v-u)}{(t_{2}-t_{1}  )}

FΔt = mΔv

Impulse = FΔt=mΔv

As the mass of box is given as 2 kg and the velocity changes from 2 m/s to 5 m/s, then the impulse = 2 × (5-2) = 2 ×3 =6 J

So 6 J is the impulse caused by the change in velocity of 2 kg box from 2 m/s to 5 m/s.

3 0
3 years ago
you are piloting a small plane and you want to reach an airport 450 km due south in 3.0 h a wind is blowing from the west 50.0 k
alex41 [277]

Answer:

You should choose airspeed 158.11 km/h at 18.4° west of south

Explanation:

The distance to the air port is 450 km due to south

You should to reach the airport in 3 hours

→ Velocity = distance ÷ time

→ Distance = 450 km , time = 3 hours

→ The velocity of your plane = 450 ÷ 3 = 150 km/h due to south

A wind is blowing from west 50 km/h

We need to know what heading and airspeed you should choose to

reach your destination

At first we must find the resultant velocity of your plane and the wind

The south and west are perpendicular, then the resultant velocity is

→ v_{R}=\sqrt{(v_{p})^{2}+(v_{w})^{2}}

→ v_{p}=150 km/h ,  v_{w}=50 km/h

→ v_{R}=\sqrt{(150)^{2}+(50)^{2}}=158.11 km/h

To cancel the velocity of the wind, the pilot should maintain the velocity

of the plane at 158.11 km/h

The direction of the velocity is the angle between the resultant velocity

and the vertical (south)

→ The direction of the velocity is tan^{-1}\frac{50}{150}=18.4°

The direction of the velocity is 18.4° west of south

<em>You should choose airspeed 158.11 km/h at 18.4° west of south</em>

8 0
3 years ago
Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculat
svetlana [45]

Answer:

1.6675×10^-16N

Explanation:

The force of gravity that the space shuttle experiences is expressed as;

g = GM/r²

G is the gravitational constant

M is the mass = 1.0 x 10^5 kg

r is the altitude = 200km = 200,000m

Substitute into the formula

g = 6.67×10^-11 × 1.0×10^5/(2×10^5)²

g = 6.67×10^-6/4×10^10

g = 1.6675×10^{-6-10}

g = 1.6675×10^-16N

Hence the force of gravity experienced by the shuttle is 1.6675×10^-16N

6 0
2 years ago
What physical quantity is a measure of the amount of inertia an object has?
satela [25.4K]
Mass is the physical quantity
3 0
3 years ago
About how many weeks does it take the Moon to go from a full Moon phase to a third quarter phase? A. 1 B. 2 C. 3 D. 4
Lostsunrise [7]
The answer is D) About 4.
~Deceptiøn
3 0
3 years ago
Other questions:
  • The Hubble space telescope has been maintained by which of these?
    14·1 answer
  • Tarzan swings on a 30.0m long vine initially inclined at an angle 37 degrees with the vertical. What is his speed at the bottom
    8·1 answer
  • If you place a magnet under a clear dish, and sprinkle iron fillings over it, above what part of the magnet will most of the fil
    9·2 answers
  • What two gases probably dominated precambrian earth's atmosphere?
    7·1 answer
  • What are plate boundries
    7·2 answers
  • Hey hi can someone help? ​
    5·2 answers
  • Can someone help please
    7·1 answer
  • First answer will be made brainliest
    10·1 answer
  • An object falls from a height of 12m. The object's potential energy at the top is 50J. Where is the potential energy of the obje
    15·1 answer
  • Which of the following statements describes the trend in the data?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!