To check the radius of a railroad curve, the effect of a 2-lb weight is observed to be 20.7 lb on a spring scale suspended from the roof of an experimental car rounding the curve at 40mph. what is the radius of the curve?
F=mv²rF = \dfrac{mv²}{r}F=rmv²
F=20.7 Ib×9.8ms−2F = 20.7\ Ib× 9.8ms^{-2}F=20.7 Ib×9.8ms−2
F=202.86 Ibms−2F = 202.86\ Ibms^{-2}F=202.86 Ibms−2
202.86=2×40²r202.86 = \dfrac{2×40²}{r}202.86=r2×40²
r=2×40²202.86r = \dfrac{2× 40²}{202.86}r=202.862×40²
r=15.77mr = 15.77mr=15.77m
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