do I draw a free body diagram and sum the forces in each direction? I should als

Question

do I draw a free body diagram and sum the forces in each direction? I should also convert to SI units right? thanks looking for a step by step.

earring You want to design an oval racetrack such that 3200 lb racecars can round the turns of radius 1000 ft at 98 mi/h without the aid of friction. You estimate that when elements like downforce and grip in the tires are considered the cars will round the turns at a maximum of 175 mm. Find the banking angle necessary for the racecars to navigate these turns at 98 mi/h and without the aid of friction. Number This banking and ra 3200 ib stock cars travel around the turns at about 175 mi/h. What additional radial force is necessary to hold the racecar on the track at 175 mi/h? Number

Explanation / Answer

1) banking angle for speed v is

     theta = arctan (v^2 /rg)

= arctan((98*0.447)^2/(1000*0.3048*9.8))

= 32.7 degree

B) F = mv^2/r - mu^2/r

      = 3200/(1000*0.3048) *((175*0.447)^2 - (98*0.447)^2) /g

    = 44096/9.8 lb

    = 4500 lb answer

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