Question

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.

Answer 1

For the problem, we have a cosine function.

5 rev per minute implies:

`\text{angular velocity (}\omega\text{ ) = }(2\pi)/(5)`

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

`\text{Angular displacement (}\phi)\text{ = }(2\pi)/(5)\text{ (t - 3) }`

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

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

The correct option is D