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The water wheel shown below rotates at 5 rev per minute. three seconds after a stopwatch is started, point p on the rim of the wheel is at the maximum height. which if the following equations models the distance, d, in feet, of point P from the surface of water in terms of the number os seconds, t, the stopwatch reads.

The water wheel shown below rotates at 5 rev per minute three seconds after a stopwatch is started point p on the rim of the wheel is at the maximum height whic class=

Respuesta :

For the problem, we have a cosine function.

5 rev per minute implies:

[tex]\text{angular velocity (}\omega\text{ ) = }\frac{2\pi}{5}[/tex]

Since we are considering the time 3 seconds after the stopwatch is started, we have:

[tex]\text{Angular displacement (}\phi)\text{ = }\frac{2\pi}{5}\text{ (t - 3) }[/tex]

The distance d, of point p from the surface of the water, is:

[tex]d\text{ = 7 cos}\frac{2\pi}{5}\text{ (t - 3) + 6 ft}[/tex]

The correct option is D