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Therefore, if you again take the ratios
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you will find tan(θ) = v^2 / (R · g).
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I think this may be a little fast now
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but you guys can do the algebra.
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What that means is the following.
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If you want the car to go around the bend,
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at a certain speed,
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40 miles per hour or so many kilometers per hour,
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and the road itself is part of a circle of radius r;
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it doesn't have to be a full circle.
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At that instant it has to be a part of a circle.
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Then, if you bank your road at that angle,