A car on an ice covered road enter a 30 º banked curve that ha s diameter of 100 m. At what speed does the car need to travel to negotiate the curve without sliding up or down the bank assuming the? The posted speed limit is 80 km/h for the corner can the corner be negotiated at that speed?
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Since you have a test just remember the equation for a car going around a corner that has a banked surface that is frictionless:
It is v = sqrt of (g r sin (30))
g is gravity r is road radius which is half of the diameter so it is 50m.
Remember that the normal force points up but the sin (delta) of the Normal gives you the centripetal force.
Also if the banked surface has friction then the equation is:
v = sqrt of (r g Us) Us is the friction coefficient.
It is v = sqrt of (g r sin (30))
g is gravity r is road radius which is half of the diameter so it is 50m.
Remember that the normal force points up but the sin (delta) of the Normal gives you the centripetal force.
Also if the banked surface has friction then the equation is:
v = sqrt of (r g Us) Us is the friction coefficient.
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OPPPS its actually v = sqrt of (g r tan 30) so the answers is 16.8
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