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The design of a new road includes a straight stretch that is horizontal and flat

ID: 2136101 • Letter: T

Question

The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 16? .
Part A The transition should be rounded with what minimum radius so that cars traveling 89km/h will not leave the road ? The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 16? .
The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 16? .
The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 16? .
The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 16? .
Part A The transition should be rounded with what minimum radius so that cars traveling 89km/h will not leave the road ? Part A The transition should be rounded with what minimum radius so that cars traveling 89km/h will not leave the road ? Part A The transition should be rounded with what minimum radius so that cars traveling 89km/h will not leave the road ? Part A The transition should be rounded with what minimum radius so that cars traveling 89km/h will not leave the road ? Part A The transition should be rounded with what minimum radius so that cars traveling 89km/h will not leave the road ? Part A The transition should be rounded with what minimum radius so that cars traveling 89km/h will not leave the road ? The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 16? .
Part A The transition should be rounded with what minimum radius so that cars traveling 89km/h will not leave the road ?

Explanation / Answer

the slope is 16 deg.
F = mg*cos(16 deg)
Fcent = mv^2/r
So at minimum radius F = Fcent ==> r = v^2/(g*cos(16 deg)) (answer)
(remember v = 89/3.6 m/s)


r=
64.8133347763 m