COLLEGE PHYSICS,VOL.1
2nd Edition
ISBN: 9781111570958
Author: Giordano
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 5, Problem 30P
Consider a Ferris wheel in which the chairs hang down from the main wheel via a cable. The cable is L = 2.0 m long, and the radius of the wheel is 12 m (Fig. P5.30). When a chair is in the orientation shown in the figure (the “3 o’clock” position), the cable attached to the chair makes an angle θ = 20° with the vertical. Find the speed of the chair. For simplicity, assume that at this moment the chair is moving in a circle of radius equal to the radius of the wheel.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of
10.7 m/s at the top of the incline, which is h = 36.3 m above the ground. As any good engineer would, you begin your design
with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more
than n = 1.93 g at the top of the hump and no more than N = 5.77 g at the bottom of the loop. For this initial phase of your
design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)
Rhump
What is the minimum radius Rhump you can use for the semi-circular hump?
=
What is the minimum radius Roop you can use for the vertical loop?
R₁00p
R.
=
hump
Roop
m
m
A ball of mass mb=2.9 kg is attached to a stick by two strings as shown. String 1 is the upper string and string 2 is the lower string. The ball is spinning around the stick in a horizontal circle. If T1b= 2214.8 N, T2b= 1935.4 N, L1= 2.7 m, θ = 31.9 degrees, and ϕ = 73.1 degrees, what is the speed of the ball as it moves in a horizontal circle?
You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of
15.5 m/s at the top of the incline, which is h = 36.7 m above the ground. As any good engineer would, you begin your design
with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more
than n = 1.77 g at the top of the hump and no more than N = 5.37 g at the bottom of the loop. For this initial phase of your
design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)
What is the minimum radius Rhump you can use for the semi-circular hump?
Rhump =
What is the minimum radius Roop you can use for the vertical loop?
Roop=
R₁000
m
m
Chapter 5 Solutions
COLLEGE PHYSICS,VOL.1
Ch. 5.1 - Velocity and Acceleration in Circular Motion...Ch. 5.1 - Prob. 5.2CCCh. 5.2 - Prob. 5.3CCCh. 5.3 - Prob. 5.5CCCh. 5.4 - Prob. 5.6CCCh. 5.4 - Prob. 5.7CCCh. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Consider the Cavendish experiment in Figure 5.22....
Ch. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - What force makes it possible for a car to move...Ch. 5 - Prob. 9QCh. 5 - Prob. 10QCh. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Prob. 13QCh. 5 - Prob. 14QCh. 5 - Prob. 15QCh. 5 - Prob. 16QCh. 5 - Prob. 17QCh. 5 - Prob. 18QCh. 5 - Plutos mass. In 1978, it was discovered that Pluto...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - A compact disc spins at 2.5 revolutions per...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Consider the motion of a rock tied to a string of...Ch. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 29PCh. 5 - Consider a Ferris wheel in which the chairs hang...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - A rock of mass m is tied to a string of length L...Ch. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- You are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 11.3 m/s at the top of the incline, which is h = 37.5 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than N = 5.37 g at the top of the hump and no more than N = 5.37 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)arrow_forwardYou are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 10.7 m/s at the top of the incline, which is h=37.5 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than n=1.73 g at the top of the hump and no more than N=5.45 gat the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. (Figure not to scale)What is the minimum radius Rhump you can use for the semi-circular hump?What is the minimum radius Rloop you can use for the vertical loop?arrow_forwardA 66 g ball is fastened to one end of a string 55 cm long and the other end is held fixed at point O so that the string makes an angle of 31◦ with the vertical, as in the figure. This angle remains constant as the ball rotates in a horizontal circle. The angle θ would remain constant only for a particular speed of the ball in its circular path. Find this speed v. Answer in units of m/s.arrow_forward
- Mr. M is golfing inside his friend's barn! He hits a ball (m=0.123kg) at a speed of 15m/s at an angle of 55 degrees. His friend's barn is 8.1m high and 15m long. WIll the ball hit the ceiling AND/OR the wall at the other end? Justify your answerarrow_forwardYou are designing the section of a roller coaster ride shown in the figure. Previous sections of the ride give the train a speed of 11.9 m/s11.9 m/s at the top of the incline, which is ℎ=38.7 mh=38.7 m above the ground. As any good engineer would, you begin your design with safety in mind. Your local government's safety regulations state that the riders' centripetal acceleration should be no more than ?=1.77 gn=1.77 g at the top of the hump and no more than ?=5.69 gN=5.69 g at the bottom of the loop. For this initial phase of your design, you decide to ignore the effects of friction and air resistance. What is the minimum radius you can use for the semi-circular hump? What is the minimum radius you can use for the vertical loop?arrow_forwardA car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the car’s speed. (b) What is the magnitude and direction of the acceleration when the car is at point B?arrow_forward
- In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of 0 = 26.4° with respect to the ground (see figure below). Wolverine is d = 2.11 m above the ground when he is released, and he leaves Colossus's hands with a speed of v; = 17.1 m/s. (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? m/sarrow_forwardA clown is juggling four balls simultaneously. Students use a video tape to determine that it takes the clown 0.9 s to cycle each ball through his hands (including catching, transferring, and throwing) and to be ready to catch the next ball. What is the minimum vertical speed the clown must throw each ball upward with?arrow_forwardA pendulum of length L=3.0m is swinging back and forth with a bob of m=0.5kg. At the lowest point of its circular path the speed of the bob is v=1.2 m/s. What is the centripetal force on the bob there?arrow_forward
- A light rod is 88 cm long. Its top end is pivoted on a low-friction horizontal axle. The rod hangs straight down at rest with a small massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swing around in full circle. What minimum speed (m/s) at the bottom is required to make the ball go over the top of the circle? Round your answer to 2 decimal places.arrow_forwardA ball of mass m = 0.275 kg swings in a vertical circular path on a string of length L = 0.850 m as shown. At the lowest point in its vertical path the ball is 1.5 m from the ground. If the string is cut when the ball is at the bottom of the string moving with a speed of 7.5 m/s, how far in the x-direction does the ball move before hitting the ground?arrow_forwardA 0.250 kg ball swings in a vertical circle on the end of a string that is 1.20 m long. The tension in the string is 15.0 N when it is falling toward the lowest point on the circle and the angle between the string and the vertical is 40.0°. What is the speed of the ball at this moment?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY