Question
An airplane flies due north at 240 km/h relative to the air. There is a wind blowing at 60 km/h to the northeast relative to the ground. What are the plane's speed and direction relative to the ground?
Answers to Find:
km/h = ?
° east of north = ?
Answers to Find:
km/h = ?
° east of north = ?
Answers
resolve the wind into N and E components
add them to the plane's N and E components
use the resulting components to find the plane's speed and direction
a diagram may prove helpful
add them to the plane's N and E components
use the resulting components to find the plane's speed and direction
a diagram may prove helpful
All angles are measured CW from +Y-axis.
Vr = 240km/h[0o] + 60km[45o].
X = 240*sin 0 + 60*sin45 = 42.4km/h.
Y = 240*Cos 0 + 60*Cos45 = 282.4 km/h
Vr = sqrt (X^2 + Y^2) = Resultant velocity.
Tan A = X/Y, A = Degrees CW = Direction.
=
Vr = 240km/h[0o] + 60km[45o].
X = 240*sin 0 + 60*sin45 = 42.4km/h.
Y = 240*Cos 0 + 60*Cos45 = 282.4 km/h
Vr = sqrt (X^2 + Y^2) = Resultant velocity.
Tan A = X/Y, A = Degrees CW = Direction.
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