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You are driving your car with a manual transmission down a 6% grade and notice t

ID: 1860153 • Letter: Y

Question

You are driving your car with a manual transmission down a 6% grade and notice that when your foot is off the throttle, it holds at a steady speed of 115 km/hour. The vehicle conditions are:

Vehicle Mass: 1600 Kg                                         

Frontal Area: 1.75 m^2

Aero Dynamic Drag coefficient: 0.33               

Transmission ratio: 0.89

Final drive ratio: 3.55                                             

Tire Radius: 290 mm

Rolling Resistance Coefficient: 0.015               

Drive line efficiency: 100%

Explanation / Answer

2. Fr = cl W / r   

where

cl = rolling resistance coefficient with dimension length (coefficient of rolling friction) (mm, in)

r = radius of wheel (mm, in)

W = mg (weight)


F = 0.015 x (1600 x 9.81) / 290 = 0.81186 N

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