Question

An engineer wants to design a circular racetrack of radius R such that cars of mass...

An engineer wants to design a circular racetrack of radius R such that cars of mass M can go around the track at speed U without the aid of friction or other forces other than the perpendicular contact force from the track surface.

Find an expression for the required banking angle θ of the track, measured from the horizontal. Express the answer in terms of M, R, U, and g.

Suppose the race cars actually round the track at a speed ω >U. What additional radial force Fr is required to keep the cars on the track at this speed? Express the answer in terms of M, R, U, ω , and g.

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An engineer wants to design an oval racetrack such that 3.20×103 lb3.20×103 lb racecars can round...
An engineer wants to design an oval racetrack such that 3.20×103 lb3.20×103 lb racecars can round the exactly 1000 ft1000 ft radius turns at 95 mi/h95 mi/h without the aid of friction. She estimates that the cars will round the turns at a maximum of 175 mi/h.175 mi/h. Find the banking angle ?θ necessary for the race cars to navigate the turns at 95 mi/h95 mi/h without the aid of friction. This banking and radius are very close to the...
1) You want to design an oval racetrack such that 3200 lb racecars can round the...
1) You want to design an oval racetrack such that 3200 lb racecars can round the turns of radius 1000 ft at 103 mi/h without the aid of friction. You estimate that when elements like downforce and grip in the tires are considered the cars will round the turns at a maximum of 175 mi/h.a) Find the banking angle θ necessary for the racecars to navigate these turns at 103 mi/h and without the aid of friction. b)This banking and...
4. A designer plans to build a circular Indy 500 racetrack with a bank angle of...
4. A designer plans to build a circular Indy 500 racetrack with a bank angle of 12 degrees and it must keep cars moving at 150 miles per hour (242 km per hour) from sliding off the track even when the track is slick. a) Draw a diagram showing all forces acting on a racecar as it rounds the track. Neglect friction. b) Choose an x-y coordinate system and write the components of the forces. Why is the choice of...
Consider a satellite of mass m in a circular orbit of radius r around the Earth...
Consider a satellite of mass m in a circular orbit of radius r around the Earth of mass ME and radius RE. 1. What is the gravitational force (magnitude and direction) on the satellite from Earth? 2. If we define g(r) to be the force of gravity on a mass m at a radial distance r from the center of the Earth, divided by the mass m, then evaluate the ratio g(r)/g(RE)to see how g varies with radial distance. If...
6. A device for acclimating military pilots to the high accelerations they must experience consists of...
6. A device for acclimating military pilots to the high accelerations they must experience consists of a horizontal beam that rotates horizontally about one end while the pilot is seated at the other end. In order to achieve a radial acceleration of 35.1 m/s2 with a beam of length 5.39 m, what rotation frequency is required? ? Hz 7. You want to design an oval racetrack such that 3200 lb racecars can round the turns of radius 1000 ft at...
(a) A circular ring has radius r and mass M. Let L be the axis of...
(a) A circular ring has radius r and mass M. Let L be the axis of the ring (the line that is perpendicular to the plane of the ring and that passes through the center of the ring). What is the force on a mass m that is located on L, at a distance x from the center of the ring? (b) A hole with radius R is cut out from an innite at sheet with mass density (kg=m2). What...
Learning Goal: To understand how to apply the law of conservation of energy to situations with...
Learning Goal: To understand how to apply the law of conservation of energy to situations with and without nonconservative forces acting. The law of conservation of energy states the following: In an isolated system the total energy remains constant. If the objects within the system interact through gravitational and elastic forces only, then the total mechanical energy is conserved. The mechanical energy of a system is defined as the sum of kinetic energy K and potential energy U. For such...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT