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Curves on some test tracks and race courses, such as the Daytona International Speedway in Florida, are very steeply banked.
This banking, with the aid of tire friction and very stable car configurations, allows the curves to be taken at very high speed.

Calculate the speed at which a 100 m radius curve banked at 65.0 should be driven if the road is frictionless.

Respuesta :

Answer:

Speed, v = 45.84 m/s

Explanation:

Given that,

Radius of the curve, r = 100 m

Banking of the curve, [tex]\theta=65^{\circ}[/tex]

On the banking of curve, the speed of the vehicle is given by :

[tex]v=\sqrt{rg\ tan\theta}[/tex]

[tex]v=\sqrt{100\times 9.8\times \ tan(65)}[/tex]

v = 45.84 m/s

So, the speed at which a 100 m radius curve banked is 45.84 m/s. Hence, this is the required solution.