Tidal+Force

TIDAL FORCE - BY JOHN STITZ (Photo from Hershey Park Website) The tidal force is basically a log that is carried up a huge lift then goes down a big hill and enters the water below creating a HUGE splash. Since I've lost all my info on this page three types I am just going to copy and paste my entire document.

Basic Info: Height of lift = 30.5 meters full boat is 4082 kg, empty is 2722 kg. g = 9.80 m/s^2 Potential Energy at top = FULL = 1220109.8, EMPTY = 813605.8 When AT GROUND, velocity = 24.66

DATA COLLECTED AT PARK
 * More info: Water gets shallower at about 10 meters. This will speed up the boat. Although the actual change in depth is unknown, we will say that it was half as deep at the end than the beginning.**
 * Each Log was about half full or 3402 kg**

Angle of Lift – 27 degrees Time of Lift – 47.25 seconds Distance of lift (approximation) – 42.98 m Time from entering water to reach 18.29 m – 2.62, 2.53, 2.78, 2.48 Speed of Cart before drop = 2.25 m/s

Time of Splash – 3.45, 3.41, 3.55, 3.39 Distance of Splash – 40 yards, 42 yards, 37 yards, 41 yards Time of Drop – 4.87, 4.71, 4.89, 4.89

ANALYSIS

Work = F * d Force Horizontal = mg, Mass was 3402 * 9.8 = 33339.6 * 42.98 m = **1370.4 kJ** **= Work to go up hill.**

Velocity entering the water was 24.66 m/s so it would take about .742 s to reach the designated marker

It took 2.6 seconds to reach the end point. So the acceleration can be found using ∆x = 24.66*2.6 + .5 * a * 2.6^2 -> -13.55 = a

Velocity at 10 meters v^2 = 24.66^2 + 2*-13.55*10 = 337 = v^2 -> v = 18.35 at ten meters

Velocity at end v^2 = 24.66^2 + 2*-13.55*18.29 = 112.46 = v^2 -> v = 10.60

Then it can be found how long it took to get to that point. 10 = (24.66 + 18.35 / 2) * ∆t -> t = .465 seconds.

With that, it took 2.13 to travel the last eight, so the deceleration at that point is much greater.

To find launch angle. Wave’s initial speed cos ø = X Velocity Wave went 36.57 meters and took 3.45 sec to land so the X velocity is 10.6 m/s 10.6 = 24.45 cos ø -> launch angle = 64.3

GRAPHS AND TABLES Velocity vs Distance Graph. Y = Velocity X = Distance from entry into water Position vs Time Graph. Y = Distance from entry into water, X = Time Rough sketch of Wave (Note that the top of the wave is indicated by the line.) Table indicating points on the graphs given.

Sorry for the sloppy layout, I just actually wanted this done before it gets wiped out again.