Relative velocities

  • Thread starter slpnsldr
  • Start date
  • #1
slpnsldr
28
0

Homework Statement


The wind is blowing at 72km/h south relative to the earth, and a plane is traveling 320km/h (28 degrees south of west relative to the wind) directly above a city. give displacement from the city in 2h time


Homework Equations


Plane is P wind is W earth is E

VPW=VPE+VWE



The Attempt at a Solution



re arrange to find that
VPE=VPW-VWE
VPE=248km/h

The only thing I dont understand is how to determine the new angle of the plane to the earth...
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
9
Velocities are vectors. You cannot add or subtract them directly.
 
  • #3
benhou
123
1
Hi slpnsldr. Your formula was incorrect. It should look like this
[tex]\vec{_{p}V_{E}}=\vec{_{p}V_{w}}+\vec{_{w}V_{E}}[/tex]

Notice when you add these relative velocities, the subscript "w" cancel each other out. And that is the only trick to it.
 
  • #4
slpnsldr
28
0
ok, ive figured out my displacement.. but im still unclear about how to find the planes new angle
somethign to do with the sine law?
 
  • #5
benhou
123
1
ok, ive figured out my displacement.. but im still unclear about how to find the planes new angle
somethign to do with the sine law?

Oh, that might be hard to explain without a diagram. Maybe you need to include a diagram.
 

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