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    Circular motion

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    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A plane heading due North makes a level turn with a speed of 100 m/s. The angle of the bank is 15 degrees. Determine:

    (a) Radius of the circular path
    (b) Cetripetal acceleration
    (c) Lift force
    (d) Direction of velocity after 30 seconds (Weight of the plane is 19600 Newtons)

    © BrainMass Inc. brainmass.com December 24, 2021, 4:50 pm ad1c9bdddf
    https://brainmass.com/physics/circular-motion/radius-cetripetal-acceleration-lift-force-velocity-direction-11013

    SOLUTION This solution is FREE courtesy of BrainMass!

    Let the lift be L which acts perpendicular to the plane's wings

    mg= 19600 N
    m= 1997.96 kg as g=9.81 m/s
    v= 100 m/s

    L Cos 15 =mg=weight= 19600 N ----(1)
    L Sin 15=centripetal force=m v ^2/r ----(2)
    r=Radius of the circular path

    Dividing (2) by (1)

    tan 15=(m v ^2/r)/mg =v^2/gr

    or r=v^2/g Tan 15= 3804.33 m

    Centripetal acceleration=v^2/r= 2.63 m/s^2

    Lift force=L=mg/Cos15= 20291.41 N

    Angular velocity=v/r= 0.026285837 rad/s= 1.5 degrees/s
    In 30 seconds angle covered=1.5*30= 45 degrees

    Direction of velocity =45 degrees East from due North

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 4:50 pm ad1c9bdddf>
    https://brainmass.com/physics/circular-motion/radius-cetripetal-acceleration-lift-force-velocity-direction-11013

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