Fuzzy dice hang from the rear-view mirror of a car rounding a curve. If the curve has a radius of 275 meters and the dice are hanging at an angle of 12° from the vertical, how fast is the car going?
a = v2/R
for an acceleration with a constant magnitude, as in uniform circular motion. I took this to mean that a in this equation is the direction of the acceleration. i.e., the Cartesian coordinates.
The Attempt at a Solution
In uniform circular motion, the magnitude of the acceleration is always the same and pointing inwards. Does this mean the magnitude of the acceleration is equal to R? So the magnitude of acceleration would be 275 m/s2 in this case? I'm not sure how to begin this problem but I could solve it if that was true. But I think R and the magnitude of the acceleration are just related, not necessarily equal, but I don't really understand how.