A plane heads south with air speed 1000k/h. its ground speed = 1100 k/h at 15 degree east south. what is the wind speed?
- Old Science GuyLv 74 years agoFavorite Answer
this is a vector subtraction
Draw the two given vectors
then connect the ends
and find the magnitude and direction of the connector
I'll use my calculator
the ground speed is the sum of air speed and wind speed
so the wind speed is ground speed - air speed
taking S as 0° just for convenience
(1100 , 15°) - (1000 , 0°) = 291.5 , 77.6°
that's a wind of 291.5 k/h at 77.6° east of south
or 291.5 k/h at 12.4° south of east
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- Anonymous4 years ago