0.7 ms 2(25 points) Full Throttle is a thrill ride that opened at Six Flags Magi

Question

0.7 ms 2(25 points) Full Throttle is a thrill ride that opened at Six Flags Magic Mountain in 2013. It features an initial linear (tangential) acceleration along a straight track from rest to 70 mph (110 km/h) in about three seconds. At this speed the passenger car enters a 160-foot-tall loop. Model this loop as a perfect circle. A) What is the initial tangential acceleration of the passenger car before it enters the loop? What must be the horizontal force on an 80-kg rider's body during this acceleration? How many times greater is this force than the passenger's usual weight? B) How heavy does the rider feel as they enter the loop? In other words, what is the normal force from their seat? Express your answer as a multiple of their usual weight. continued on next page...) 26 mis

Explanation / Answer

(A) vf = 110 km/h = 110 x 1000 m / 3600 s

vf = 30.6 m/s

Applying vf = v0 + a t

30.6 = 0 + 3 a

a = 10.2 m/s^2 .....Ans

F = m a = 815 N .........Ans

n = F/mg = 1.04 times .........Ans

(B) Fnet = N - m g = m a_c = m v^2 / R

N = 80 (9.81 + 30.6^2/(80 x0.3048))

N = 3856.8 N

N = (3856.8 / 80 x 9.81) (m g )

N = 4.91 m g ..........Ans

Related Questions

Navigate

• Browse (All)
• Browse
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.