Concept explainers
* EST A tire-pressure monitoring system warns you with a dashboard alert when one of your car tires is significantly underinflated, possibly creating unsafe driving conditions. How does the car know when to turn on the alert? Many cars have sensors that measure the period of rotation of each wheel. Based on the period, the car's computer determines the relative size of the tires when the car is moving at a certain speed. (a) Explain how the period of the wheel rotation is related to the size of the tire. (b) Derive a mathematical equation that relates the period T of the wheel rotation to the tire radius r and the speed v of the car. (c) Figure P5.9 shows a properly inflated tire (left) and an underinflated tire (right) of the same car. Estimate the percent change of the period of the underinflated tire compared to the properly inflated tire. (d) Estimate the distance this car would have to travel for the difference between the numbers of turns of the two wheels to be equal to one turn. Which will undergo more turns, the underinflated or the properly inflated tire?
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Pearson eText for College Physics: Explore and Apply -- Instant Access (Pearson+)
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Lecture- Tutorials for Introductory Astronomy
Cosmic Perspective Fundamentals
Physics: Principles with Applications
College Physics (10th Edition)
Essential University Physics: Volume 1 (3rd Edition)
- A Frisbee flies across a field. Determine if the system has translational kinetic energy, rotational kinetic energy, neither, or both as determined by the observer in each of the following cases. a. The observer watches the flight of the Frisbee across the field from a park bench. b. The observer is a dog that runs directly beneath the Frisbee. c. The observer is an ant at rest on the Frisbee.arrow_forwardReview. Assume a certain liquid, with density 1 230 kg/m3, exerts no friction force on spherical objects. A ball of mass 2.10 kg and radius 9.00 cm is dropped from rest into a deep tank of this liquid from a height of 3.30 m above the surface. (a) Find the speed at which the hall enters the liquid. (b) Evaluate the magnitudes of the two forces that are exerted on the ball as it moves through the liquid. (c) Explain why the ball moves down only a limited distance into the liquid and calculate this distance. (d) With what speed will the ball pop up out of the liquid? (c) How does the time interval tdown, during which the ball moves from the surface down to its lowest point, compare with the lime interval tup for the return trip between the same two points? (f) What If? Now modify the model to suppose the liquid exerts a small friction force on the ball, opposite in direction to its motion. In this case, how do the time intervals tdown and tup compare? Explain your answer with a conceptual argument rather than a numerical calculation.arrow_forwardA Suppose a planet with mass m is orbiting star with mass M and the mean distance between the planet and the star is a. Using Newtons law of universal gravity, derive an algebraic expression for the speed of the planet when it is at the mean distance from the star.arrow_forward
- 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?arrow_forwardYou drive down the road at 35 m/s (79 mi/h) in a car whose tires have a radius of 32 cm ▾ Part A What is the period of rotation of the tires? Express your answer to two significant figures and include appropriate units. 5 S ? Submit Previous Answers Request Answer ▾ Part B X Incorrect; Try Again; 9 attempts remaining Through what angle does a tire rotate in one second? Express your answer to two significant figures and include appropriate units. P Pearsonarrow_forwardHere in Columbus, we're living through a heat wave with an expected heat index of 110 degrees today. At home, you turn on a fan to cool off, and the fan blades speed up (the fan was off before you touched it). If the fan blades reach their top speed in exactly 6.5 seconds, and the acceleration of the fan blades is 2.7 rad/s², what is the top speed in rpm? Your Answer: units Answerarrow_forward
- A record is spinning around on a record player and has a period of 4.00 s. The record has a diameter of 26.4 cm. It begins to slow down and it stops after 5.00 s. How many revolutions does the record make between the record starting to slow down and coming to a complete stop? 0.625 rev 31.7 rev 3.93 rev 1.88 revarrow_forwardA 4.1-m-diameter merry-go-round is initially turning with a 4.4 s period. It steadily slows down and stops in 30 s. Part A Before slowing, what is the speed of a child on the rim? Express your answer with the appropriate units. Part B Di Submit Request Answer A8 = μÀ Value Submit How many revolutions does the merry-go-round make as it stops? Express your answer in revolutions. 195) ΑΣΦ Units Request Answer ? ? revarrow_forwardA tennis ball connected to a string is spun around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.175 kg and moves at v = 5.16 m/s. The circular path has a radius of R = 1.13 m 1) What is the magnitude of the tension in the string when the ball is at the bottom of the circle? N Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) What is the magnitude of the tension in the string when the ball is at the side of the circle? N Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 3) What is the magnitude of the tension in the string when the ball is at the top of the circle? N Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. +) 4) What is the minimum velocity so the string will not go…arrow_forward
- Merry-go-rounds are a common ride in park playgrounds. The ride is a horizontal disk that rotates about a vertical axis at their center. A rider sits at the outer edge of the disk and holds onto a metal bar while someone pushes on the ride to make it rotate. Suppose that a typical time for one rotation is 6.0 ss and the diameter of the ride is 14 ftft . Part A For this typical time, what is the speed of the rider, in m/sm/s? Express your answer in meters per second. vv = m/sm/s Part B What is the rider’s radial acceleration, in m/s2m/s2? Express your answer in meters per second squared. aradarad = nothing m/s2m/s2 Part C What is the rider’s radial acceleration if the time for one rotation is halved? Express your answer in meters per second squared. aradarad = nothing m/s2m/s2 Incorrect. Incorrect; Try Again.…arrow_forwardA high-speed drill reaches 2300 rpm in 0.60 s Part A What is the drill's angular acceleration? Express your answer to two significant figures and include the appropriate units. μΑ ? a = Value Units Submit Request Answer Part B Through how many revolutions does it turn during this first 0.60 s ? Express your answer to two significant figures and include the appropriate units. HẢ Value Units Submit Request Answerarrow_forwardA ceiling fan with 84-cm-diameter blades is turning at 60 rpm. Suppose the fan coasts to a stop 28 s after being turned off. Part B Through how many revolutions does the fan turn while stopping? Express your answer using two significant figures. 195| ΑΣΦ Number of revolutions Submit Request Answer < Return to Assignment Provide Feedbackarrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning