Physics, 08.11.2019 00:31 ptrlvn01

Consider the possibility of using two rotating cylinders to replace the conventional wings on an airplane for lift. consider an airplane flying at 150 km/hr through the standard atmosphere at 2,000 m. each "wing cylinder" has a 1.0-m radius. the surface velocity of each cylinder is 20 km/hr. find the length ℓ of each wing to develop a total lift of 40 kn. assume potential flow and neglect end effects. hints: = 2 r v see example 6.6

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Answer from: brionnashelp

27.35m

Explanation:

For the calculation of the Support Force we rely on the formula for obtaining the force in a cylinder of a certain length l,

$F_y = - \rho Ul\Gamma$

Here each term is,

F_y = Lift force

$\rho$ = density of air

$\Gamma$ = vortex strength

For this last equation, its mathematical representation is given by,

$\Gamma = 2\pi av_{\theta}$

Here each term is,

a= 1m, radios of cylinder

$v_{\theta}= 20 Km/hr=5.5m/s$ , the velocity of cylinder surface.

$\Gamma = 2\pi (1)(5.5) = 34.90m^2/s$

In order to find the density of the area at 2000m we will refer to the table of Standard Atmosphere of the United States, that is 1.007kg/m^3,

$U= 150Km/hr = 41.6m/s, F_y = 40000N, \Gamma = 34.90m^2/s$

Replacing the values,

40000 = -(1.007)(41.6)l(34.90)

Clearing l and solving for it we have,

l=-27.35m

In this way we can conclude that the length of the cylinder must be 27.35m

Answer from: Quest

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic = - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day

Answer from: Quest

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

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Consider the possibility of using two rotating cylinders to replace the conventional wings on an air...