Pirate+Ship10

Group Members: Clayton, Jake, John, and Joe

The pirate ship swings guests back and forth, giving them a feeling of weightlessness. The boat is supported by four tubular uprights attached to a main axle, allowing it to swing in a __pendulum__ motion.

Since the ship is a __pendulum__, it moves in simple harmonic motion.

Riders per Ship: 54 Ship Length: 43 feet = 13.1 meters Height of Ship in Full Swing: 66 feet = 20.1 meters Total Ride Net Weight: 28 tons = 25401 kilograms
 * Information On The Pirate Ship:**

PE = KE mgy = .5mv^2 gy = .5v^2 (9.8)(20.1) = .5v^2 v = 19.8 m/s
 * Velocity:**

T = 7.9 s
 * Period:**


 * Frequency:** 1/ 7.9 = .127 cycles/s

T = 2π (L / 9.8)^1/2 7.9 = 2π (L / 9.8)^1/2 L = 15.5 m
 * Length of Middle Support Beam:** (if there was one)

a = 2 g g = 9.8 m/s a = 9.8 * 2 = 19.6 m/s downward
 * Acceleration:**

KE = .5mv^2 KE = (.5)(87.1)(19.8)^2 KE = 17073.4 J
 * Energy of 87.1 kg person on board:**

PE = mgy PE = (87.1)(9.8)(20.1) PE = 17157.0

Percent Difference: [(17157 - 17073.4) / ((17157 + 17073.4) / 2)] * 100 = 0.49 %