An airplane is heading due south at a speed of 640 km/h. if a wind begins blowing from the southwest at a speed of 70 km/h (average), calculate the following.
(a) the velocity (magnitude and direction) of the plane relative to the ground
643.81
km/h
° (east of south)
(b) how far from its intended position will it be after 10 min if the pilot takes no corrective action. [hint: first draw a diagram.]

(a) 609∠273°

(b) 5.31 km far away from the desired point to the east

5.31  far away from the desired point to the north

Explanation:

(a) In polar coordinates, the speed of the airplane is the next vector 640∠270° (640 km/h is the modulus and 'heading due south' is equivalent to an angle of 270° between the speed vector and the positive x-axis). On its part, the speed of the wind is the next vector 70∠45°.

The vector 640∠270° can be decomposed into Vx (x-coordinate component) and Vy (y-coordinate component) as follows:

Vx1 = 640*cos(270°) = 0

Vy1 = 640*sin(270°) = -640

For 70∠45°:

Vx2 = 70*cos(45°) = 31.82

Vy2 =70*sin(45°) = 31.82

The velocity of the airplane (V3) is calculated as follows:

Vx3 = Vx1 + Vx2 = 0 + 31.82 = 31.82

Vy3 = Vy1 + Vy2 = -640 + 31.82 = -608.18

The magnitude of the speed is:

V3 = √(Vx3² + Vy3²)

V3 = √(31.82² + (-608.18)²) = 609 km/h

α = tan (Vy3/Vx3)

α = tan (-608/31.82) = 273° = -87°

(b) Given that:

speed = displacement/time

Then:

displacement = speed *time

At 640 km/h and after 10 min (= 1/6 h)

displacement = 640 * 1/6 = 106.67 km

This is the desired displacement, that is, in south direction.

At 609 km/h and after 10 min (= 1/6 h)

displacement = 609 * 1/6 = 101.5 km

Real displacement, in east of south direction (forming an angle of -87° with the positive x-coordinate) . This point is at the following distance form the desired point:

cos 87° * 101.5 = 5.31 km far away from the desired point to the east

106.67 - sin 87° * 101.5 = 5.31  far away from the desired point to the north

1= 26.17

2= 1.17

3=30.86

4=5.86

just took the assigment on edge

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia