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## Homework Statement

The Daytona 500 is the major event of the NASCAR season. It is held at the Daytona International Speedway in Daytona, Florida. The turns in this oval track have a maximum radius (at the top) of r = 316, and are banked steeply, with θ = 31°. Suppose these maximum-radius turns were frictionless. At what speed would the cars have to travel around them?

## Homework Equations

Fc = mv^2/r

## The Attempt at a Solution

εfx = Fac = Nx

(mv^2)/r = sinθN

(mv^2)/r = sinθ(-wcosθ)

(mv^2)/r = sinθ(-mgcosθ)

v = √[sinθ(-gcosθ)r]

v = √[sin31°(-(-9.8))(cos31°)(316)]

v = 36.9m/s

answer is actually 43m/s