1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Wind velocity and aircraft (answer check)

  1. Jan 15, 2014 #1
    1. The problem statement, all variables and given/known data

    You’re a pilot beginning a 1500-km flight. Your plane’s speed is 1000 km/h, and air traffic control says you’ll have to head 15° west of south to maintain a southward course. If the flight takes 100 min, what’s the wind velocity?

    3. The attempt at a solution

    veffective south = vactual + vwind

    veffective south = 1500kmh^-1 / 1.667hr = ( 0, -900kmh^-1 )

    vactual = (1000kmh^-1 cos 255, 1000kmh^-1 sin 255) = (-258.82kmh^-1 , -965.93kmh^-1)

    vwind = veffective south - vactual


    (0, -900kmh^-1 ) - (-258,82kmh^-1, -965.93kmh^-1)
    = (258.82kmh^-1 , 65.93kmh^-1)
    = |vwind| = SQRT [ (258.82kmh^-1)^2 + (65.93kmh^-1) ^2]
    Last edited: Jan 15, 2014
  2. jcsd
  3. Jan 15, 2014 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    I think you should punch the final numbers in your calculator, take the square root, and come up with one number for the answer.
  4. Jan 15, 2014 #3
    The answer is 267kmh^-1
  5. Jan 15, 2014 #4


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    I confirm that answer.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted