Math

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The position of a car piston within the cylinder is described by the equation:
y = S sin(360

r t - 90
Where S is the stroke length of the cylinder, r is the rpm of the crank shaft, and t is
the time in minutes. If the stroke length is 2 inches and the crank shaft is running at
1300 rpm, find the position of the piston at t = 53 seconds. (remember that rpm
means revolutions per minute)

  • Math -

    what's the problem?

    y(t) = S sin(360rt-90)
    S = 2
    r = 1300
    t = 53/60

    y(53/60) = 2sin(360*1300*53/60-90)
    = 2sin(1148.3333*360 - 90)
    now, we can toss out all multiples of 360, so we are left with
    y = 2sin(240-90) = 2sin(150) = 2(.5) = 1.0

  • Math - PS -

    oops.

    y = 2sin(120-90) = 2sin(30) = 2(.5) = 1.0

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