What is the phase of the simple harmonic motion at t = 10.0 s?

AI Thread Summary
The discussion revolves around calculating the phase of simple harmonic motion given by the equation x = (2.0 m) cos[(6π rad/s)t + π/2 rad] at t = 10.0 s. The user initially struggles to understand how the book arrives at a phase of 190 rad. They mention that their calculations for displacement and acceleration yield unexpected results, despite being set to radians. Ultimately, the user discovers their mistake and expresses relief, indicating they have resolved their confusion. This highlights the importance of careful calculation in physics problems related to harmonic motion.
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Homework Statement



The function x = (2.0 m) cos[(6π rad/s)t + π/2 rad] gives the simple harmonic motion of a body. Find the following values at t = 10.0 s.

I am having trouble finding the phase of the motion, The book gives an answer of 190 rad, I am not sure how they got that

Homework Equations



V(t) = -12\piSin(6\pit+(\pi/2))
a(t) = -12\pi(6\pi)Cos(6\pit+(\pi/2))


The Attempt at a Solution



The displacement and acceleration are zero, but for some reason when i plug them into my calculator (it is set to radians) i keep getting answers other than zero, any suggestions?
 
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