Posted by **Zac** on Thursday, July 26, 2012 at 12:01pm.

In the Daytona 500 car race in Daytona, FL, a curve in the oval track has a radius of 316 m (near

the top of the curve) and is banked at 31.0

O

.

a) What speed would be necessary to make this turn if there was no friction on the road?

b) If the coefficient of static friction between the tires and the road is 0.70, what are the minimum

and maximum speeds that a car could take this turn and not slide?

- Physics -
**Elena**, Thursday, July 26, 2012 at 1:17pm
(a)

x: ma=N•sinα

y: 0=N•cosα –mg, => N=mg/cosα

a=v²/R

m• v²/R = N•sinα= mg•sinα/cosα= mg•tanα

v=sqrt(R• g•tanα)

(b)

x: ma=N•sinα+F(fr) •cosα

y: mg= N•cosα –mg-F(fr) •sinα

Since F(fr)=μ•N,

ma=N(sinα+μ•cosα)

mg= N(cosα - μ• sinα)

ma/mg = (sinα+μ•cosα)/ (cosα - μ• sinα)

a=v² /R

v² /Rg= (sinα+μ•cosα)/ (cosα - μ• sinα)

v=sqrt[Rg (sinα+μ•cosα)/ (cosα - μ• sinα)]

## Answer This Question

## Related Questions

- College Physics - The Daytona 500 stock car race is held on a circular track ...
- physics - highway curve in northern Minnesota has a radius of 230 m. The curve ...
- Physics - A car, having a mass of 1.2 x 10^3kg rounds a curve which is banked at...
- physics - A highway curve with radius 1000ft is to be banked so that a car ...
- physics - Two banked curves have the same radius. Curve A is banked at 11.0 °, ...
- physics - Two banked curves have the same radius. Curve A is banked at 11.0 °, ...
- Physics - A curve of radius 59.9 m is banked so that a car of mass 1.4 Mg ...
- physics - Curve A is banked at 11.2 °, and curve B is banked at an angle of 15...
- physics - If a car takes a banked curve at less than the ideal speed, friction ...
- Physics - Two banked curves have the same radius. Curve A is banked at an angle ...

More Related Questions