Asked by Khushi
An aeroplane's compass indicates that it is headed due to North, and it airspeed indicator shows that is moving through the air at 24 0 km/h. If there is a 100 km/h wind from west to east. In what direction should the pilot head to travel due north? What will be her velocity relative to the earth?
Answers
Answered by
Damon
compass heading T degrees east of north (it will be negative of course)
North component = 240 cos T
East component = 240 sin T + 100
we need ZERO east
so
240 sin T = -100
sin T = -0.4166666.....
T = -24.6 degrees which is 360 - 24.6 on the compass
speed north over ground = 240 cos 24.6
North component = 240 cos T
East component = 240 sin T + 100
we need ZERO east
so
240 sin T = -100
sin T = -0.4166666.....
T = -24.6 degrees which is 360 - 24.6 on the compass
speed north over ground = 240 cos 24.6
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