College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6, Problem 6CQ
Pace car drivers routinely cut corners as shown in Figure 6.32. Explain how this allows the curve to be taken at the greatest speed.
Figure 6.32 Two paths around a race track curve are shown. Race car drivers will take the inside path (called cutting the corner) whenever possible because it allows them to take the curve at the highest speed.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
You're designing a highway so that the maximum centripetal acceleration on a curve is no more than 1.7 m/s2. What is the minimum curvature radius to accommodate a 52-km/h maximum speed? Give your answer in meters
I know the formula involves a= v^2/r and we get r by itself; and then, we are to find minimum curvature radius. My question has to do with a conversion of 52 km to meters, and yes, km=1000 m. Can you help me to conceptualize (52 km/h)^2 to (14.4 m/s)^2 better?
Hello,
Can someone please show how to solve this problem?
Thanks
You're designing a highway so that the maximum centripetal acceleration on a curve is no more than 1.1 m/s2 .
What is the minimum curvature radius to accommodate a 100 km/h maximum speed?
Express your answer to two significant figures and include the appropriate units.
Chapter 6 Solutions
College Physics
Ch. 6 - There an analogy between rotational and physical...Ch. 6 - Can centripetal acceleration change the speed of...Ch. 6 - If you wish to reduce the stress (which related to...Ch. 6 - Define centripetal force. Can any type of force...Ch. 6 - If centripetal force is directed toward the...Ch. 6 - Pace car drivers routinely cut corners as shown in...Ch. 6 - A number of amusement parks have rides that make...Ch. 6 - What is the direction of the force exerted by the...Ch. 6 - As a skater forms a circle, what force is...Ch. 6 - Suppose a child is riding on a merry-go-round at a...
Ch. 6 - Do you feel yourself thrown to either side when...Ch. 6 - Suppose a mass is moving in a circular path on a...Ch. 6 - When a toilet is flushed or a sink is drained,...Ch. 6 - Is there a real force that throws water from...Ch. 6 - In one amusement park ride, riders enter a large...Ch. 6 - Actin at a distance, such as is the case for...Ch. 6 - Two friends are having a conversation. Anna says a...Ch. 6 - A frame of reference placed at the center of the...Ch. 6 - Action at a distance, such as is the case for...Ch. 6 - Two friends are having a conversation. Anna says a...Ch. 6 - Draw a free body diagram for a satellite in an...Ch. 6 - Newton's laws of motion and gravity were among the...Ch. 6 - In what frame(s) of reference are Kepler's laws...Ch. 6 - Semi-trailer trucks have an odometer on one hub of...Ch. 6 - Microwave ovens rotate at a rate of about 6...Ch. 6 - An automobile with 0.260 m radius tires travels...Ch. 6 - (a) What is the period of rotation of Earth in...Ch. 6 - A baseball pitcher brings his arm forward during a...Ch. 6 - In lacrosse, a ball is thrown from a net on the...Ch. 6 - A truck with 0.420-m-radius tires travels at 32.0...Ch. 6 - Integrated Concepts When kicking a football, the...Ch. 6 - Construct Your Own Problem Consider an amusement...Ch. 6 - A fairground ride spins its occupants inside a...Ch. 6 - A runner taking part in the 200 m dash must run...Ch. 6 - Taking the age of Earth to be about 4109 years and...Ch. 6 - The propeller of a World War Il fighter plane is...Ch. 6 - An ordinary workshop grindstone has a radius of...Ch. 6 - Helicopter blades withstand tremendous stresses....Ch. 6 - Olympic ice skaters are able to spin at about 5...Ch. 6 - What percentage of the acceleration at Earth's...Ch. 6 - Verify that the linear speed of an ultracentrifuge...Ch. 6 - A rotating space station is said to create...Ch. 6 - At takeoff, a commercial jet has a 60.0 m/s speed....Ch. 6 - Integrated Concepts Riders in an amusement park...Ch. 6 - Unreasonable Results A mother pushes her child on...Ch. 6 - (a) A 22.0 kg child is riding a playground...Ch. 6 - Calculate the centripetal force on the end of a...Ch. 6 - What is the ideal banking angle for a gentle turn...Ch. 6 - What is the ideal speed to take a 100 m radius...Ch. 6 - (a) What is the radius of a bobsled turn banked at...Ch. 6 - Part of riding a bicycle involves leaning at the...Ch. 6 - A large centrifuge, like the one shown in Figure...Ch. 6 - Integrated Concepts If a car takes a banked curve...Ch. 6 - Modern roller coasters have vertical loops like...Ch. 6 - Unreasonable Results (a) Calculate the minimum...Ch. 6 - (a) Calculate Earth's mass given the acceleration...Ch. 6 - (a) Calculate the magnitude of the acceleration...Ch. 6 - (a) What is the acceleration due to gravity on the...Ch. 6 - (a) Calculate the acceleration due to gravity on...Ch. 6 - The Moon and Earth rotate about their common...Ch. 6 - Solve part (b) of Example 6.6 using ac=v2/r.Ch. 6 - Astrology, that unlikely and vague pseudoscience,...Ch. 6 - The existence of the dwarf planet Pluto was...Ch. 6 - (a) The Sun orbits the Milky Way galaxy once each...Ch. 6 - Unreasonable Result A mountain 10.0 km from a...Ch. 6 - A geosynchronous Earth satellite is one that has...Ch. 6 - Calculate the mass of the Sun based on data for...Ch. 6 - Find the mass of Jupiter based on data for the...Ch. 6 - Find the ratio of the mass of Jupiter to that of...Ch. 6 - Astronomical observations of our Milky Way galaxy...Ch. 6 - Integrated Concepts Space debris left from old...Ch. 6 - Unreasonable Results (a) Based on Kepler's laws...Ch. 6 - Construct Your Own Problem On February 14, 2000,...
Additional Science Textbook Solutions
Find more solutions based on key concepts
S
10. FIGURE EX6.10 shows the velocity graph of a 2.0 kg object as it moves along the x-axis. What is the net ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
26. A 10 kg crate is placed on a horizontal conveyor belt. The materials are such that and .
a. Draw a free-...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Two strings are attached between two poles separated by a distance of 2.00 m as shown below, both under the sam...
University Physics Volume 1
An infinite charged wire with charge per unit length lies along the central axis of a cylindrical surface of r...
University Physics Volume 2
TEST YOUR UNDERSTANDING OF SECTION 37.1 As a high-speed spaceship flies past you, it fires a strobe light that ...
University Physics with Modern Physics (14th Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
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
- A 32 cm radius, spherical ball starts from rest on an H=6.4m tall hill and rolls down. After rolling down the first hill the ball rolls up a second h=4.1m tall hill. What is the ball's speed when it reaches the second hill?arrow_forwardConsider the following figure. 40 m 80 m A race track is constructed such that two curves of constant radius, 80 m at A and 40 m at B, are joined by two stretches of straight track as in the figure above. While testing a new car, a driver travels at a constant speed of 50 m/s for one complete lap. Which one of the following options is correct for the ratio of the centripetal acceleration of the car at A to the centripetal acceleration of the car at B? O afacB = 1/2 O a cala cB = 1/4 O a cala cB = 2 O a cala cB = 4 O The centripetal acceleration is zero at both points.arrow_forwardI need help with this Hw Problem.arrow_forward
- A boll rounds a 60 m radius curve at 6 m/s. The magnitude of it's acceleration in m/s²arrow_forwardFrom Newton's Second Law, F= ma. Derive an equation as acceleration v2 defined as ac = From the given equation of centripetal acceleration ac =. What will be the change in centripetal acceleration if the velocity changes to one-half of its original without changing the radius?arrow_forwardA roller coaster has a mass of 600 kg when loaded with passengers. Car approaches top end of curve radius 20 m. What is maximum velocity that the car can have without flying off track?arrow_forward
- Modern roller coasters have vertical loops like the one shown in the figure below. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. What is the speed, in m/s, of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g?arrow_forwardA stunt rider on a motorcycle rides around a large, vertical loop with a radius of 19 m. How fast must he ride to avoid falling at the top of the loop?arrow_forwardThe athlete shown in the figure below rotates a 1kg discus along a circular path of radius 1.06m. The maximum speed of the discus is 20m/determine the magnitude of the maximum radial acceleration of the discus.arrow_forward
- When you go around a corner in your car, your car follows a path that is a segment of a circle. To turn safely, you should keep your car’s acceleration below some safe upper limit. If you want to make a “tighter” turn—that is, turn in a circle with a smaller radius—how should you adjust your speed? Explain.arrow_forwardModern roller coasters have vertical loops like the one shown in the figure. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. What is the speed of the roller coaster, in meters per second, at the top of the loop if the radius of curvature there is 11 m and the downward acceleration of the car is 1.2g? Note that g here is the acceleration due to gravity. The beginning of this roller coaster is at the top of a high hill. If it started from rest at the top of this hill, how high, in meters, above the top of the loop is this initial starting point? You may assume there is no friction anywhere on the track. If it actually starts 4.5 m higher than your answer to the previous part (yet still reaches the top of the loop with the same velocity), how much energy, in joules, did it lose to friction? Its mass is 1500…arrow_forwardA car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have without flying off the road at the top of the hill?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY