Find max. speed with Static Friction

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Homework Help Overview

The discussion revolves around determining the maximum speed a car can negotiate a curve without skidding, given specific parameters such as the radius of the curve and the coefficient of static friction. The original poster presents an equation for calculating maximum velocity based on these parameters.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply a formula for maximum speed but questions the correctness of their result. Participants inquire about the setup of the problem, including the relevance of the designated speed and the role of gravitational acceleration in the calculation.

Discussion Status

Some participants are seeking clarification on the problem's context and parameters, while the original poster indicates they have resolved the issue independently. There is no explicit consensus on the approach taken, and the discussion remains open to interpretation.

Contextual Notes

The original poster mentions a designated speed for the ramp, which raises questions about its significance in relation to the curve. There is also a lack of clarity regarding the physical setup of the problem, as the original poster later clarifies that there is no exit ramp involved.

iLove
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Suppose the designated speed for the ramp is to be 13.2 m/s (29.5 mi/h) and the radius of the curve is 34 m.

The coefficient of static friction between the tires and the road is 0.33. What maximum speed could a car negotiate the exit ramp without skidding?


Vmax = square root of (µ(static) g r)

Vmax = Maximum velocity
g = Acceleration due to gravity (9.80 m/sec^2)
r = Radius of curve
µ = Coefficient of static friction

Vmax = 10.485 m/s

however, this answer wasn't right. what am i doing wrong? THANKS.
 
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Welcome to PF!

Hi iLove! Welcome to PF! :smile:

Can you give us a little more information?

I can't quite picture this … is there a curve and an exit ramp, or are they the same thing?

And what is the relevance of the designated speed?

And I don't understand where g comes into it. :confused:
 
Hi tiny-tim :)
No, there is no exit ramp, just a curve. But I already got the problem solved because it was due 25 minutes ago.

Thank you for making me feel welcomed ^^
 
Hi iLove! :smile:

I'm glad you solved it!

(you can mark it "SOLVED" by clicking on Thread Tools on the menu bar)

Do leave a bit more time next time … and remember, most of the people on this forum are asleep at this time of day! :zzz:
 

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