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The position of a particle is given by the expression x = 2.00 cos (6.00πt + π), where x is in meters and t is in seconds.

(a) Determine the frequency.
______Hz

(b) Determine period of the motion.
______s

(c) Determine the amplitude of the motion.
______m

(d) Determine the phase constant.
______rad

(e) Determine the position of the particle at t = 0.270 s.
______m

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1 answer

  1. when t = 0, argument of cos = pi
    when does it equal pi + 2 pi?

    when 6 pi t = 2 pi
    or T = (1/3) second
    or f = 1/T = 3 Hz

    amplitude is 2 of course

    phase = -pi or however your book defines phase

    2 cos (6*pi*.27 + pi)
    2 cos (8.23 radians)
    2 cos (471.6 degrees) because I am too lazy to convert calculator to radians
    = -.717 meters

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