Must show your work!!!!! The road has a speed limit of 75 mph. Find the radius o

Question

Must show your work!!!!!

The road has a speed limit of 75 mph. Find the radius of the curve R so that traffic can safely travel a curve, bank angle of 5 degrees. Static of coefficient of friction between the road and the tires is .2, consider the vehicle to be a particle. (must show all FBD and kinematic diagrams)

The road has a speed limit of 75 mph. Find the radius of the curve R so that traffic can safely travel a curve, bank angle of 5 degrees. Static of coefficient of friction between the road and the tires is .2, consider the vehicle to be a particle. (must show all FBD and kinematic diagrams)

Explanation / Answer

banking angle tan theta = coeffiecent of frictiion = V^2/Rg

1mhp = 0.4470 m/s

so 75 mph = 75 *0.4470 = 33.525 m/s

so R = V^2/(g * 0.2)

R = 33.525^2/( 9.8 * 0.2)

R = 573 m

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