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
Alekssandra [29.7K]
3 years ago
8

An air-plane has an effective wing surface area of 17.0 m² that is generating the lift force. In level flight the air speed over

the top of the wings is 66.0 m/s, while the air speed beneath the wings is 40.0 m/s. What is the weight of the plane?(The density of air is 1.29 kg/m³)
Physics
2 answers:
Lady bird [3.3K]3 years ago
5 0

Answer:

Explanation:

Given that,

Surface area A= 17m²

The speed at the top v" = 66m/s

Speed beneath is v' =40 m/s

The density of air p =1.29kg/m³

Weight of plane?

Assuming that,

the height difference between the top and bottom of the wind is negligible and we can ignore any change in gravitational potential energy of the fluid.

Using Bernoulli equation

P'+ ½pv'²+ pgh' = P'' + ½pv''² + pgh''

Where

P' is pressure at the bottom in N/m²

P" is pressure at the top in N/m²

v' is velocity at the bottom in m/s

v" is velocity at the top in m/s

Then, Bernoulli equation becomes

P'+ ½pv'² = P'' + ½pv''²

Rearranging

P' — P'' = ½pv"² —½pv'²

P'—P" = ½p ( v"² —v'²)

P'—P" = ½ × 1.29 × (66²-40²)

P'—P" = 1777.62 N/m²

Lift force can be found from

Pressure = force/Area

Force = ∆P ×A

Force = (P' —P")×A

Since we already have (P'—P")

Then, F=W = (P' —P")×A

W = 1777.62 × 17

W = 30,219.54 N

The weight of the plane is 30.22 KN

Levart [38]3 years ago
4 0

Answer:

Weight of plane ; W = 30219.54 N

Explanation:

For us to determine the lift force of the system, let's multiply the pressure difference with the effective wing surface area given that the area is obtained by Bernoulli equation. Thus,

P_b + (1/2)ρ(v_b)² + ρg(y_b) = P_t + (1/2)ρ(v_t)² + ρg(y_t)

Now, since the flight is level, the height is constant.

Thus, (y_b) = (y_t)

So, we now have;

P_b + (1/2)ρ(v_b)² = P_t + (1/2)ρ(v_t)²

Rearranging, we have ;

P_b - P_t = (1/2)ρ(v_t)² - (1/2)ρ(v_b)²

P_b - P_t = (1/2)ρ[(v_t)² - (v_b)²]

Now, weight is given by the formula;

W = (P_b - P_t) •A

Thus,

W = (1/2)ρ[(v_t)² - (v_b)²] •A

From the question,

Density; ρ = 1.29 kg/m³

Velocity over top of wings; v_t = 66 m/s

Velocity beneath the wings; v_b = 40 m/s

Surface Area; A = 17 m²

Thus;

W = (1/2)1.29[(66)² - (40)²] •17

W = (1/2)•1.29•17[2756]

W = 30219.54 N

You might be interested in
Does the KE of a car change more when it accelerates from 22 km/h to 32 km/h or when it accelerates from 32 km/h to 42 km/h
mote1985 [20]

Answer:

The change in kinetic energy (KE) of the car is more in the second case.

Explanation:

Let the mass of the car = m

initial velocity of the first case, u = 22 km/h = 6.11 m/s

final velocity of the first case, v = 32 km/h = 8.89 m/s

change in kinetic energy (K.E) = ¹/₂m(v² - u²)

                                          ΔK.E = ¹/₂m(8.89² - 6.11²)

                                                    = 20.85m J

 

initial velocity of the second case, u = 32 km/h = 8.89 m/s

final velocity of the second case, v = 42 km/h = 11.67 m/s

change in kinetic energy (K.E) = ¹/₂m(v² - u²)

                                          ΔK.E = ¹/₂m(11.67² - 8.89²)

                                                    = 28.58m J

The change in kinetic energy (KE) of the car is more in the second case.

6 0
2 years ago
9. A soft drink distibutor drove west 11 km from Minnehaha to Nut Plains. She then turned around and drove back east for 209 km
guajiro [1.7K]

Answer:

220km

Explanation:

Given parameters:

Distance traveled from Minnehaha to Nut Plains  = 11km

Distance traveled to Dover  = 209km

Unknown:

The distance the soft drink distributor traveled  = ?

Solution:

To solve this problem, we  must understand that distance is the total length of path covered in a journey.

 So;

     Distance  = 209km + 11km  = 220km

The soft drink distributor covered 220km

3 0
2 years ago
You drive a race car around a circular track of radius 300 m at a constant spe 108 km/h. Your acceleration will be: A) 39.9 m/s
morpeh [17]

Answer:

C

Explanation:

Centripetal acceleration is:

a = v² / r

First, convert km/h to m/s:

108 km/h × (1000 m / km) × (1 h / 3600 s) = 30 m/s

Therefore, the acceleration is:

a = (30 m/s)² / 300 m

a = 3 m/s²

8 0
3 years ago
Why must there be a chain at the bottom of a truck​
MrRa [10]

Answer:

Known as automatic tire chains and sometimes referred to by brand names like Onspot or Insta-Chain, these chains essentially hang listlessly from the vehicle's suspension until inclement weather arrives. When that happens, a driver can flip a switch that will lower the chains so they hang in front of the back tires.

Explanation:

(Happy to Help)

7 0
2 years ago
Discuss the importance of fluid balance while exercising.
Step2247 [10]

Answer:

Discuss the importance of fluid balance while exercising.

Responses will vary. A sample response follows: While exercising, the body loses fluids through perspiration and respiration. The more rigorous the exercise, the more fluids are lost. It's important to replace these fluids both during and after the exercise.

Explanation: HOPE THIS HELPS YOU!!

:)

:)

:)

4 0
3 years ago
Read 2 more answers
Other questions:
  • About three billion years ago, single-celled organisms called cyanobacteria lived in Earth’s oceans. They thrived on the ocean’s
    12·2 answers
  • The element chlorine is found in nature as a molecule that can be represented as - A. Cl.
    14·1 answer
  • A 1.0 kg object moving at 4.5 m/s has a wavelength of:
    12·1 answer
  • A 500-kg elevator is raised to a height of 20 m in 10 seconds. Calculate the power of the motor.
    10·2 answers
  • True or false the sun produces energy through nuclear fusion
    13·2 answers
  • Flow around curved height contours requires the incorporation of the centrifugal force. What is the general term to describe the
    15·1 answer
  • The current atomic model has a ?
    7·1 answer
  • How do you find the net force of 225 N
    7·1 answer
  • Multiple questions onlyy!! Please help!! And if u can answer the response questions that would be helpful!!
    6·1 answer
  • How long does it take light to reach Earth from an object on light-year away?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!