by nsguy1350 » Sat Jan 05, 2013 3:38 pm
The amplitude should be 26 (think: radius), and the vertical shift should be 29 (the baseline [line that divides the wave into an upper and lower half] of the sine wave is normally at the x-axis, but here it's 29 feet in the air.)
6RPM = 1 rotation every 10 seconds, or the period is 10 seconds. The sine wave has equation [unparseable or potentially dangerous latex formula] where [unparseable or potentially dangerous latex formula]. Therefore, [unparseable or potentially dangerous latex formula]. We already know [unparseable or potentially dangerous latex formula] and [unparseable or potentially dangerous latex formula]
I assume the "person" starts at the bottom. The sine wave generally has a value of it's baseline at [unparseable or potentially dangerous latex formula]. Here, at [unparseable or potentially dangerous latex formula], the sine wave has its lowest possible value, or the value of its trough. That is a rightward shift equal to [unparseable or potentially dangerous latex formula] of its period, so [unparseable or potentially dangerous latex formula]. Thus the equation is [unparseable or potentially dangerous latex formula]. This gives [unparseable or potentially dangerous latex formula]
Hope that helps!
2013 District 1/Region:
NS - 319/355
MA - 340/332
CA - 294/287
SC - 344/292
CS - 212/124 (fail)