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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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If the position of a particle is given by the expression:
x = A cos (2 *pi*f*t + phi)
then f is the frequency, the period is T = 1/f, the amplitude is A, the phase constant is phi, and the position of the particle x at a given time t=t_0 is simply given by inserting the value of t_0 into the equation and plugging that into a calculator.
So a), b), c) and d) can be almost instantly read off from the expression above by comparing to the general form I've given, and e) is a matter of typing "=[Cos(6*pi*0.27+pi)]*2" into a calculator.
Hope that helps.
x = A cos (2 *pi*f*t + phi)
then f is the frequency, the period is T = 1/f, the amplitude is A, the phase constant is phi, and the position of the particle x at a given time t=t_0 is simply given by inserting the value of t_0 into the equation and plugging that into a calculator.
So a), b), c) and d) can be almost instantly read off from the expression above by comparing to the general form I've given, and e) is a matter of typing "=[Cos(6*pi*0.27+pi)]*2" into a calculator.
Hope that helps.
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