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## Homework Statement

At what angle should the roadway on a curve with a 50 m radius be banked to allow cars to negotiate the curve at 12 m/s even if the roadway is frictionless?

a. 0°

b. 12.2°

c. 17.1°

d. 35.0°

e. 73.2°

## Homework Equations

β=arctan(v^2/r*g)

## The Attempt at a Solution

im using β=arctan(v^2/r*g) but the key says the answer is b?

can anyone help me figure out why its not 16.4??