An engineer wants to design an oval racetrack such that 3.20 × 10° lb racecars can round the exactly 1000 ft radius turns at 103 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle 0 necessary for the race cars to navigate the turns at 103 mi/h without the aid of friction. = This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h. What additional radial force is necessary to prevent a race car from drifting on the curve at 175 mi/h? radial force: N

An engineer wants to design an oval racetrack such that 3.20 × 10° lb racecars can round the exactly 1000 ft radius turns at 103 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h. Find the banking angle 0 necessary for the race cars to navigate the turns at 103 mi/h without the aid of friction. = This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h. What additional radial force is necessary to prevent a race car from drifting on the curve at 175 mi/h? radial force: N

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A boy swings a ball on a string around his head in a circle. Starting out, the radius is ro and the…

A: In this case, a ball on a string has been swinging in a circular path with some initial radius and…

Q: An old streetcar rounds a flat corner of radius 8.40 m, at 13.0 km/h. What angle with the vertical…

A: Write the given values with suitable variables. r=8.4 mv=13 km/h=13×10003600 m/s=3.61 m/s Here, r is…

Q: A plane is diving downward at 33 m/s. To pull out of the dive the plane must start a 90circular…

Q: specific 3-MV wind turbine model has a blade of 184 feet (measured from the center of the hub to the…

Q: A 1100 kg car is traveling around a flat 82.3 m radius curve. The coefficient of static friction…

A: Static friction between the car tires and the road is 0.521, which means this friction tries to stop…

Q: The figure shows two possible paths for negotiating an unbanked turn on a horizontal portion of a…

A: Solution - Acceleration - Acceleration, rate at which velocity changes with time, in terms of both…

Q: Engineers who design roads typically “bank” (incline) curves in such a way that a car traveling at…

Q: You are rounding a curve on the road. The speed limit is 50mi/hr and the radius of curvature of the…

Q: The 2860-lb car is traveling at 31 mi/hr when the driver applies the brakes, and the car continues…

A: Given: The weight of the car is 2860 lb. The speed of the car is 31 mi/hr. The…

Q: The automobile has a speed of 70 ft/s at point A and an acceleration aa having a magnitude of 20…

Q: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of…

A: Calculate the coefficient of friction. μ = vmax2/ r * g = 35.02/ 150 * 9.8 = 0.833

Q: A certain light truck can go around a flat curve having a radius of 150M with a maximum speed of…

Q: An astronaut is engaged in a training activity, being pulled along a curved path with radius 97 m at…

A: Given: r = 97m; speed V = 25 m/s;

Q: An engineer wants to design an oval racetrack such that 3.20 x 10³ lb racecars can round the exactly…

Q: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of…

A: Given data The radius of the curve is r1 = 150 m. The maximum speed of the truck vmax = 26 m/s. The…

Q: A car of mass 1418 kg drives around a circular section of a curve with radius 60.7 m. The car is…

A: mass of car = 1418 kg radius = 60.7 m speed of car = 34 m/s

Q: You spin a 0.2 kg rock in a horizontal circle of radius 1 meters. The rock circles at a rate of 2.9…

A: Given data: Mass (m) = 0.2 kg Radius (r) = 1 m Angular velocity (ω) = 2.9 rev/s Required: Tension…

Q: Question 6 A car is turning a curve of radius 24 m. The curve is unbanked (flat), meaning friction…

Q: A small airplane of mass 1200 kg is doing a horizontal turn. The turn requires the pilot to bank the…

Q: A highway curve of radius 360 m is designed for traffic moving at a speed of 115 km/hr. What is the…

Q: During an Olympic bobsled run, the Jamaican team makes a turn of radius 7.8 m at a speed of 94.8…

A: The expression for find acceleration is a=v2r

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

Q: Engineers who design roads typically “bank” (incline) curves in such a way that a car traveling at…

A: Given data: The radius of curvature is r=55 m. Recommended speed is v=45 km/hr.

Q: You are on a boat in the middle of the Pacific Ocean at the equator traveling in a hydrofoil going…

A: If boat start going along North from the equator, at the starting point there will be only…

Q: A cylindrical object (I =mr) rolls down a ramp. %3D a Derive an expression for the linear…

Q: Mr. M is a professional race car driver. The race track he is about to drive on has a curve that is…

Q: A car is traveling at constant speed of v = 29 m/s. Its tires have a diameter of d = 0.53 m. v = 29…

Q: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as…

Q: Boat A negotiates a curve whose radius is 330 m. Boat B negotiates a curve whose radius is 150 m.…

A: We know that the centripetal acceleration where, v is the speed of the boatand r is the radius of…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

An engineer wants to design an oval racetrack such that 3.20 × 10³ lb racecars can round the exactly 1000 ft radius turns at 103 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h.

Find the banking angle \( \theta \) necessary for the race cars to navigate the turns at 103 mi/h without the aid of friction.

\[
\theta = \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\]

This banking and radius are very close to the actual turn data at Daytona International Speedway, where 3.20 × 10³ lb stock cars travel around the turns at about 175 mi/h.

What additional radial force is necessary to prevent a race car from drifting on the curve at 175 mi/h?

radial force: \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ N

---

### Diagram

- The diagram shows a car navigating a banked turn, illustrating the angle \( \theta \). The car is positioned on a slope, representing the banked angle necessary for frictionless navigation at a specified speed.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Introduction

VIEW

Step 2 Solutions

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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

During an Olympic bobsled run, the Jamaican team makes a turn of radius 7.60 m at a speed of 112 km/h. What is the ratio of their acceleration to g? Number i Units
In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? acceleration: 77.01 m/s? Express this acceleration in terms of a multiple of g. acceleration as a multiple of g: 7.858 If you want to decrease the acceleration by 22.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? percent of time change:
During an Olympic bobsled run, the Jamaican team makes a turn of radius 8.80 m at a speed of 97.6 km/h. What is the ratio of their acceleration to g?
A banked highway is designed for traffic moving at v = 96 km/h. The radius of the curve r = 311 m. a.)Write an equation for the tangent of the highway's angle of banking. Give your equation in terms of the radius of curvature r, the intended speed of the turn v, and the acceleration due to gravity g. b)What is the angle of banking of the highway? Give your answer in degrees.
The figure shows two possible paths for negotiating an unbanked turn on a horizontal portion of a race course. Path A-A follows the centerline of the road and has a radius of curvature PA = 81 m, while path B-B uses the width of the road to good advantage in increasing the radius of curvature to PB = 189 m. If the drivers limit their speeds in their curves so that the lateral acceleration does not exceed 0.68g, determine the maximum speed for each path. 189 m Answers: (VA)max= (VB)max= i i 81 m m/s m/s
A car travels around a horizontal bend of radius 110 m at a constant speed. If the coefficient of the static friction between the road and car tyres is us = 7.4, What is the magnitude of car's acceleration (m/s²) when the car is negotiating ?the bend at the maximum allowed speed
Problem 3: Modern 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. a) 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 19m and the downward acceleration of the car is 1.8g? Note that g here is the acceleration due to gravity. b) 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.
A car approaches the top of a hill that is shaped like a vertical circle with a radius of 35.3 m. What is the fastest speed that the car can go over the hill without losing contact with the ground?
A certain light truck can go around a flat curve having a radius of 150m with a maximum speed of 32.0 m/s. With what maximum speed can it go around a curve having a radius of 75.0 m?
A Car rounds a circular hill with a radius of 50m. What is the maximum speed the car can go over the hill without losing contact with the ground?
In 1959, Daytona Speed was added to the NASCAR racing circuit and introduced 31° banked curves for racing. This allowed stock cars to reach much higher speeds (around 200 mph) during a race. Today the steepest banked curves are found at Talladega Motor Speed Way at 33° with a turn radius of 1100 ft. The flattest track in NASCAR is Hew Hampshire Motor Speed Way with banked curves of 7° with a turn radius of 410 ft. a) Assuming no friction, what are the max speeds (in mph) without slipping toward the outer edge of the track at the Talladega and NH Motor Speedways? b) With friction (assume μs of 1.1 between the tires and the track)?
An airplane is flying north. It makes a gradual 180° turn (at any instant, the turning angle is less than 90°) at constant speed of 415.5 km/h, changing its direction of travel from north through east to south in 36.5 s. The centripetal acceleration of the plane for this turn in m/s2 is: Answer: The force of gravitational attraction hetween tuuo nhinntamith