Q 2. Part 2 - Find the error(s) and solve the problem correctly. An airplane is flying on a compass heading (bearing) of 170° at 460 mph. A wind is blowing with the bearing 200° at 80 mph. a. Find the component form of the velocity of the airplane. b. Find the actual ground speed and direction of the airplane. Answer: a. v = 460 < cos 170, sin 170 >=< -453.01, 79.88 > b. Find the wind vector w=80 < cos 200, sin 200 >=< -75.18, -27.36 > Velocity vector = "+w=< -528.19, 52.52 > Actual speed ||v + w||√(-528.19)² + (52.52)²≈ 530.79 mph Actual direction: 0= 180° + tan -528.19 52.52 = 95.68°
Q 2. Part 2 - Find the error(s) and solve the problem correctly. An airplane is flying on a compass heading (bearing) of 170° at 460 mph. A wind is blowing with the bearing 200° at 80 mph. a. Find the component form of the velocity of the airplane. b. Find the actual ground speed and direction of the airplane. Answer: a. v = 460 < cos 170, sin 170 >=< -453.01, 79.88 > b. Find the wind vector w=80 < cos 200, sin 200 >=< -75.18, -27.36 > Velocity vector = "+w=< -528.19, 52.52 > Actual speed ||v + w||√(-528.19)² + (52.52)²≈ 530.79 mph Actual direction: 0= 180° + tan -528.19 52.52 = 95.68°
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Part 2 - Find the error(s) and solve the problem correctly.
An airplane is flying on a compass heading (bearing) of 170° at 460 mph. A wind is blowing with the bearing 200° at 80 mph.
a. Find the component form of the velocity of the airplane.
b. Find the actual ground speed and direction of the airplane.
Answer:
a. v = 460 < cos 170, sin 170 >=< -453.01, 79.88 >
b. Find the wind vector w=80 < cos 200, sin 200 >=< -75.18, -27.36 >
Velocity vector = "+w=< -528.19, 52.52 >
Actual speed ||v + w||√(-528.19)² + (52.52)²≈ 530.79 mph
Actual direction: 0= 180° + tan
-528.19
52.52
= 95.68°
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