On an otherwise straight stretch of road near Moffat, Colorado, the road suddenl

Question

On an otherwise straight stretch of road near Moffat, Colorado, the road suddenly turns. This bend in the road is a segment of a circle with radius 113 m. Drivers are cautioned to slow down to 45 mph as they navigate the curve.If you heed the sign and slow to 45 mph, what will be your acceleration going around the curve at this constant speed? Give your answer in m/s^2. If you heed the sign and slow to 45 mph, what will be your acceleration going around the curve at this constant speed? Give your answer in units of g. At what speed would your acceleration be double that at the recommended speed?

Explanation / Answer

a.
speed = v = 45 kmph = 12.5 m/s
Acceleration = v^2/R = 12.5^2/113 =1.382 m/s^2

b.
Now,
2 x 1.382 = v^2/R
speed = v = 17.67 m/s

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