AND!!!! A common amusement park ride is a Ferris wheel (see figure below, which

Question

AND!!!!

A common amusement park ride is a Ferris wheel (see figure below, which is not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate. A particular Ferris wheel has a radius of 28 meters, and it makes one complete revolution around its axle (at location A) in 22 s. In all of the following questions, consider location A (at the center of the axle) as the location around which we will calculate the angular momentum. At the instant shown in the diagram, a child of mass 36 kg, sitting at location F, is traveling with velocity (7.9, o, o) m/s. (Assume that the +x axis is to the right, the ty axis is up along the page, and the +z axis is out of the page.) C. (a) What is the linear momentum of the child? (Express your answer in vector form.) (b) In the definition L = r xp, what is the vector r? (Express your answer in vector form.) r=| 0.28.0) - (0,28,0) X m X m (c) What is r? (Express your answer in vector form.) (0,28,0xm (d) What is the magnitude of the angular momentum of the child about location A? kg m2/s

Explanation / Answer

A)
P =<m*v, 0, 0 >
=<36*7.9, 0, 0 >
= <284.4, 0, 0 >

B)
r= <0,-28,0>
its 28 m downward so negative sign

c)
r|= <0,-28,0>
r| = r and r is perpendicular to v

d)
L= rXp
L will be along z axis and magnitude of L = 28*284.4 = 7963.2
L = <0,0,7963.2>

only 1 question at a time please

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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