What is the Designed Speed for a 100 m Radius Curve Banked at 68 Degrees?

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SUMMARY

The designed speed for a 100 m radius curve banked at 68 degrees is approximately 49.25 m/s. The formula used to calculate this speed is derived from the relationship between the tangent of the banking angle and the centripetal force, expressed as tan(θ) = v²/(rg). The correct calculation involves using the gravitational constant (g) and the tangent of 68 degrees, leading to the conclusion that the speed is indeed around 49 m/s when calculated correctly.

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EASY speed of curve PROBLEM!

A race track curve has a radius of 100 m and is banked at an angle of 68 degrees. For what speed was the curve designed?


ok this is what i got

since tan angle = v^2/rg
i got tan 68 = v^2/rg
so tan 68 x rg = v^2
but this gave me an answer far from the actual answer of 49.
please help!
 
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[tex]v=\sqrt{980\tan68^\circ}\approx49.25[/tex]:wink:
 
haha i had the calculator on radians
thank you haha
 

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