What is the acceleration of a car on a semicircular track?

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Homework Help Overview

The problem involves a car accelerating uniformly on a semicircular track, transitioning from rest to a speed of 285 km/h while navigating a curve with a radius of 194 m. The focus is on determining both the tangential and radial accelerations at a specific point in the turn, as well as the coefficient of static friction required to prevent slipping.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need for relevant equations and the importance of understanding circular motion. Some express uncertainty about how to begin solving the problem, while others suggest methods for finding angular velocity and acceleration.

Discussion Status

Some participants have provided hints and suggested approaches, while others are still grappling with the initial steps. There is a recognition of the need for foundational knowledge in physics to tackle the problem effectively.

Contextual Notes

Participants mention a lack of sufficient information and express difficulty in obtaining necessary values such as time, which is crucial for calculating acceleration. The urgency of the homework deadline adds pressure to the discussion.

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Homework Statement



A car at the Indianapolis-500 accelerates uniformly from the pit area, going from rest to 285 km/h in a semicircular arc with a radius of 194 m.

Determine the tangential acceleration of the car when it is halfway through the turn, assuming constant tangential acceleration.
m/s2

Determine the radial acceleration of the car at this time.
m/s2

If the curve were flat, what would the coefficient of static friction have to be between the tires and the roadbed to provide this acceleration with no slipping or skidding?

Homework Equations



Unknown

The Attempt at a Solution



Have not attempted yet because I don't know how to start.
 
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Without knowing relevant equations you cannot solve the problems.
If you are studying physics, you must have a textbook. If you don't have, search in Hyper Physics site. And go through the circular motion. Show your attempts.We will help you if you have made any mistakes.
 
rl.bhat said:
Without knowing relevant equations you cannot solve the problems.
If you are studying physics, you must have a textbook. If you don't have, search in Hyper Physics site. And go through the circular motion. Show your attempts.We will help you if you have made any mistakes.

The book gives me these, but I don't have enough information to use them nor do I know how to get that information.

Atan= [delta]V/[delta]t

and

Ar=v^2/r

I've tried them to death, but with no good answer. I don't know how to get time, so I don't know how to get acceleration.
 
If there is no tangential acceleration, v^2/r must be equal to g.
Find v1.
Actual velocity v2 is 285 km/h. Convert it into m/s.
v = v2 - v1 is the velocity gained by the tangential acceleration.
Using the formula v = rω,find the angular velocity ω.
Using the initial angular velocity zero, and final angular velocity ω and angular displacement π/2, find the angular acceleration α.
Using the relation a = r*αnd the tangential acceleration a.
 
rl.bhat said:
If there is no tangential acceleration, v^2/r must be equal to g.
Find v1.
Actual velocity v2 is 285 km/h. Convert it into m/s.
v = v2 - v1 is the velocity gained by the tangential acceleration.
Using the formula v = rω,find the angular velocity ω.
Using the initial angular velocity zero, and final angular velocity ω and angular displacement π/2, find the angular acceleration α.
Using the relation a = r*αnd the tangential acceleration a.

Okay. Could you help me find the answer? I've been cracking at this one for three days. Homework is due tonight, so if you could help me as much as possible that would be great. I'm working on another problem right now
 
I have given some hints. Workout them first. If you stuck up I will help you.
 

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