Physics

Question

What is the tangential speed of the plane?
A remote-controlled plane has a mass of 0.386 kg and flies in a circle with a radius of 75 m. The centripetal force on the plane is 4.0 N.
11 m/s
28 m/s
45 m/s
784 m/s

2 Answer

  • mv^2/r  = Fcent0.386 v^2/75 = 4v=root (4x75/0.386)27.8 and round
  • By definition, the centripetal force is given by:

    [tex] F = m * (\frac{v ^ 2}{R})
    [/tex]

    Where,

    m: mass of the object

    v: object speed

    R: radius of the circle

    Rewriting the equation we have:

    [tex] v ^ 2 = \frac{FR}{m} [/tex]

    [tex]v=\sqrt{\frac{FR}{m}}[/tex]

    Substituting values we have:

    [tex] v =\sqrt{\frac{4 * 75}{0.386}}

    v = 27.9
    [/tex]

    Rounding the nearest whole we have:

    [tex] v = 28 \frac{m}{s}
    [/tex]

    Answer:

    The tangential speed of the plane is:

    [tex] v = 28 \frac{m}{s}
    [/tex]

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