tice Assignment MESSAGE HY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK Chapter 1

Question

tice Assignment MESSAGE HY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK Chapter 15, Problem 018 At a certain harbor, the tides cause the ocean surface to nse and rall a distance d from highest level to iowest level in simple harmonic motion, with a period of 11.2 h. How long does it take for the water to fall a distance 0.250d from its highest level? the tolerance is +/-5% Click if you would like to show work for this question open Show.Work LINK TO SAMPLE PROBLEM LINK TO TEXT LINK TO SAMPLE PROBLEM Question Attempts: o of 4 used save rom LATER LUBHEITANSMER Maple Net related companies. All

Explanation / Answer

We know that

T = 2*pi/w

T = 11.2 hr = 40320 sec

w = 2*pi/40320 rad/sec = 2*pi/11.2 rad/hr

Amplitude = 0.5*d

x = A*cos wt

when x = 0.25d, then t = ?

0.25*d = 0.5*d*cos (2*pi*t/11.2)

cos (2*pi*t/11.2) = 1/2

2*pi*t/11.2 = pi/3

t = 11.2/6 = 1.87 hr = 6732 sec

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