Problem 8A carnival ride spins people in a circle to make them feel a centripetaleacceleration of 20 m/s². It spins the people around the circle at a speedof 10 m/s. What must be the radius of the circle the people are spunthrough? Don't forget units!

Answered: Image /qna-images/answer/b7c552a3-c1c6-4960-b239-660b6d05e348.jpg

Answered: Problem 8 A carnival ride spins people…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter13: Gravitation

Section: Chapter Questions

Problem 37P: Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the...

See similar textbooks

Similar questions

A 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 cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15
In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P6.3. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) What is the acceleration when the car is at B located at an angle of 35.0? Express your answer in terms of the unit vectors i and j. Determine (b) the cars average speed and (c) its average acceleration during the 36.0-s interval. Figure P6.3
Explain why centripetal acceleration changes the direction of velocity in circular motion but not its magnitude.
What is the average speed in mi/h of a person at the equator as a result of the Earths rotation? (Take the radius of the Earth to be RE = 4000 mi.)
Harry Potter decides to take Pottery 101 as an elective to satisfy his arts requirement at Hog warts. He sets some clay (m = 3.25 kg) on the edge of a pottery wheel (r = 0.600 m), which is initially motionless. He then begins to rotate the wheel with a uniform acceleration, reaching a final angular speed of 2.400 rev/s in 3.00 s. a. What is the speed of the clay when the initial 3.00 s has passed? b. What is the centripetal acceleration of the clay initially and when the initial 3.00 s has passed? c. What is the magnitude of the constant tangential acceleration responsible for starting the clay in circular motion?
Unreasonable Results (a) Based on Kepler's laws and information on the orbital characteristics of the Moon, calculate the orbital radius for an Earth satellite having a period of 1.00 h. (b) What is unreasonable about this result? (c) What is unreasonable or inconsistent about the premise of a 1.00 h orbit?
Saturns ring system forms a relatively thin, circular disk in the equatorial plane of the planet. The inner radius of the ring system is approximately 92,000 km from the center of the planet, and the outer edge is about 137,000 km from the center of the planet. The mass of Saturn itself is 5.68 1026 kg. a. What is the period of a particle in the outer edge compared with the period of a particle in the inner edge? b. How long does it take a particle in the inner edge to move once around Saturn? c. While this inner-edge particle is completing one orbit abound Saturn, how far around Saturn does a particle on the outer edge move?
A bicyclist is testing a new racing bike on a circular track ofradius 53.0 m. The bicyclist is able to maintain a constant speedof 24.0 m/s throughout the test run. a. What is the angularspeed of the bike? b. What are the magnitude and direction ofthe bikes acceleration?
A pet mouse sleeps near the eastern edge of a stationary, horizontal turntable that is supported by a friction-less, vertical axle through its center. The mouse wakes up and starts to walk north on the turntable, (i) As it takes its first steps, what is the direction of the mouse's displacement relative to the stationary ground below? (a) north (b) south (c) no displacement, (ii) In this process, the spot on the turntable where the mouse had been snoozing undergoes a displacement in what direction relative to the ground below? (a) north (b) south (c) no displacement. Answer yes or no for the following questions, (iii) In this process, is the mechanical energy of I lie mouse-i mutable system constant? (iv) Is the momentum of the system constant? (v) Is the angular momentum of the system constant?
Microwave ovens rotate at a rate of about 6 rev/min. What is this in revolutions per second? What is the angular velocity in radians per second?
What is the gravitational acceleration close to the surface of a planet with a mass of 2ME and radius of 2RE where ME, and RE are the mass and radius of Earth, respectively? Answer as a multiple of g, the magnitude of the gravitational acceleration near Earths surface. (See Section 7.5.)

SEE MORE QUESTIONS

Recommended textbooks for you

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

University Physics Volume 1

Physics

ISBN:

9781938168277

Author:

William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:

OpenStax - Rice University

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

Physics for Scientists and Engineers with Modern …

Physics

ISBN:

9781337553292

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

College Physics

Physics

ISBN:

9781938168000

Author:

Paul Peter Urone, Roger Hinrichs

Publisher:

OpenStax College

An Introduction to Physical Science

Physics

ISBN:

9781305079137

Author:

James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

Problem 8 A carnival ride spins people in a circle to make them feel a centripetale acceleration of 20 m/s². It spins the people around the circle at a speed of 10 m/s. What must be the radius of the circle the people are spun through? Don't forget units!