16. Passengers in a whirly-go-round (a \"puke your guts out\" amusement ride) ar

Question

16. Passengers in a whirly-go-round (a "puke your guts out" amusement ride) are subjected to 17. An engineer rides the ride in the problem above and decides the acceleration needs to be reduced 18. If the string in the previous problem is replaced by a string 1.75 m long but the acceleration 19. Healthy adult humans have been shown to be able to detect accelerations as low as 10 mm/s2 (yes accelerations of 2.5 g's at the end of a 3.5 m pole. What speed (in m/s) do they experience? to 1.9 g's, but the speed should remain the same. What length of pole should be used? remains unchanged, what is the ball's new speed (in m/s)? that's mm, not m). Given an airplane in flight at a cruising speed of 250 m/s, what is the minimum turning radius (in km) that will go unnoticed by the passengers? SEP 6 3D

Explanation / Answer

16)
Acceleration, a = v2/L
Where v is the velocity and L is the length of the pole.
v = SQRT[aL]
= SQRT[2.5 x 9.81 x 3.5]
= SQRT[85.8375]
= 9.265 m/s.

17)
L = v2/a
= 85.8375 / [1.9 x 9.81]
= 4.61 m

18)
v = SQRT[aL]
= SQRT[1.9 x 9.81 x 1.75]
= SQRT[32.61825]
= 5.71 m/s.

19)
Consider the turning radius to be R,
a = v2/R
R = v2/a
= (250)2 / (10-2)
= 6250 km

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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