Frames of Reference Question - Airplane Problem

aatari · Aug 3, 2017

Hi, Could someone please have a look at my solution and let me know if I did it correctly.

Thank you!!

1. The problem statement, all variables and given/known data
A pilot is flying from City A to City B which is 300 km [NW]. If the plane will encounter a constant wind of 80 km/h from the north and the schedule insists that he complete his trip in 0.75 h, what air speed and heading should the plane have?

2. Relevant equations
N/A

3. The attempt at a solution

ehild · Aug 4, 2017

aatari said: ↑

Hi, Could someone please have a look at my solution and let me know if I did it correctly.

Thank you!!

1. The problem statement, all variables and given/known data
A pilot is flying from City A to City B which is 300 km [NW]. If the plane will encounter a constant wind of 80 km/h from the north and the schedule insists that he complete his trip in 0.75 h, what air speed and heading should the plane have?

2. Relevant equations
N/A

3. The attempt at a solution

View attachment 208264

You have a sign error. Unfortunately, you did not type in the solution, so I can not show, where the error is.

haruspex · Aug 4, 2017

aatari said: ↑

3. The attempt at a solution
View attachment 208264

Your diagram is wrong. You seem to have put label C where A should be and label A where B should be.
What direction does the resultant 400km/h need to be in?

aatari · Aug 4, 2017

ehild said: ↑

You have a sign error. Unfortunately, you did not type in the solution, so I can not show, where the error is.

Thank You!

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Frames of Reference Question - Airplane Problem

aatari

ehild

haruspex

aatari

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