Question

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

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