Physics, 09.07.2019 04:00 isaiahdunn

Anovice pilot sets a plane’s controls, thinking the plane will fly at 2.50 × 102 km/h to the north. if the wind blows at 75 km/h toward the southeast, what is the plane’s resultant velocity? use graphical techniques.

Answers: 1

Show answers

Answers

Answer from: jonjosef2012

The magnitude and direction of the resultant velocity of the airplane

obtained graphically are 201.43 km/hr in the direction North 15.41° West,

The given parameters are;

Velocity of the plane, $v_{plane}$ = 2.50 × 10² km/h

Direction of the plane = North

Velocity of the wind, $v_{wind}$ = 75 km/h

Direction of the wind = Southeast

Required:

Resultant velocity of the plane

Solution:

Using graphical techniques, we have;

The scale of the vector drawing is 1 mm = 1 m/sThe line representing the velocity of the plane is a vertical line 250 mm long.The line representing the magnitude of the velocity of the wind is a line 75 mm long, rotated 45° clockwise from the from the positive x-axis.The end of the wind vector line is joined by a line drawn from beginning of the plane vector line, to represent the resultant velocity of plane.

The direction of the plane relative to the x-axis is approximately 74.59°,

which is (90° - 74.59° ≈ 15.41°) North 15.41° West

Please find attached the drawing of the resultant velocity of the plane.

By calculation, we have;

The component form of the given velocities are;

$\mathbf{v_{plane}}$ = 2.5×10²·j $\mathbf{v_{wind}}$ = 75 × cos(45°)·i - 75 × sin(45°)·j

The resultant velocity is given by the sum of the two velocities as follows;

v = (75 × cos(45°) + 0)·i + (2.5×10² - 75 × sin(45°))·j ≈ 53.03·i + 196.97·j

The magnitude of the velocity, v = √(53.03² + 196.97²) ≈ 203.98

The plane resultant velocity, v ≈ 203.98 km/h

The direction of the resultant velocity, θ ≈ $arctan \left(\dfrac{196.97}{53.03} \right) \approx 74.9^{\circ}$

The magnitude and direction of the resultant velocity of the airplane are;

Magnitude of resultant velocity, v ≈ 203.98 km/hr, direction, θ ≈ 74.9°, which is North 15.1° West

Therefore, there is a slight error in the values obtained graphically.

Learn more here:

link

Answer from: annie1799

Velocity of plane is given as

v_1 = 2.50 * 10^2 km/h towards north

v_2 = 75 km/h towards south east

we can write the two velocity in vector form

$v_1 = 2.50 * 10^2 \hat j$

$v_2 = 75 cos45 \hat i - 75 sin45 \hat j$

now the net velocity will be given as

$v_{net} = v_1 + v_2$

$v_{net} = 250\hat j + 53.03 \hat i - 53.03 \hat j$

$v_{net} = 53.03\hat i + 196.97 \hat j$

so the resultant velocity will be given as

$v_{net} = \sqrt{53.03^2 + 196.97^2}$

$v_{net} = 203.98 m/s$

and the angle of velocity will be

$\theta = tan^{-1}\frac{v_y}{v_x}$

$\theta = tan^{-1}\frac{196.97}{53.03} = 74.9 degree$

Anovice pilot sets a plane’s controls, thinking the plane will fly at 2.50 × 102 km/h to the north.

Answer from: Quest

One splits the atoms and molecules the other combines them

Answer from: Quest

The purpose of a lab is to do your "expirements" the importance of the topic is so you can now what the story is about and the last one is because no one is me with my question ( what is 3 over 4 x - 9 = 27 maybe you can )

Another question on Physics

Physics, 21.06.2019 23:00

Athermometer is removed from a room where the temperature is 70° f and is taken outside, where the air temperature is 10° f. after one-half minute the thermometer reads 60° f. what is the reading of the thermometer at t = 1 min? (round your answer to two decimal places.) ° f how long will it take for the thermometer to reach 30° f? (round your answer to two decimal places.)

Answers: 3

Answer

Physics, 22.06.2019 13:20

It is reasonable to assume that the bulk modulus of blood is about the same as that of water (2.2 gpa). as one goes deeper and deeper in the ocean, the pressure increases by 10000 pa for every meter below the surface. if a diver goes down 80.0 m in the ocean, by how much does each cubic centimeter of her blood change in volume? give the answer in cubic centimeters (actually one cubic centimeter equals one milliliter).

Answers: 2

Answer

Physics, 22.06.2019 14:40

A5 foot by 5 foot box culvert is buried 6 feet beneath the surface of the ground. a crosssection of this very long culvert (into and out of the page) is illustrated below. assume that the soil in which the culvert is buried has the following properties: jt = 120 pcf, w = 12%, ko = 0.50, ka = 0.33, and kp = 3.00. calculate the total horizontal force per unit length of culvert (fh) felt on one of the vertical faces of the culvert.

Answers: 1

Answer

Physics, 22.06.2019 21:30

Which of these statements best explains how the hydrosphere interacts with the atmosphere to affect global climate? mountains block rain clouds and cause changes in global rainfall and evaporation. humans burn fossil fuels to produce greenhouse gases which cause global warming. humans cut down trees which affects the amount of oxygen in different parts of the globe. greenhouse gases, like carbon dioxide, dissolve in oceans and prevent global warming.

Answers: 1

Answer

You know the right answer?

Anovice pilot sets a plane’s controls, thinking the plane will fly at 2.50 × 102 km/h to the north....

Questions