A Toyota Prius has the following attributes: Drag Coefficient Cd = 0.24, Frontal Area Af = 25.83 ft?, weight = 3064 lb, and Speed = 90 mph. Use air density p = 0.002378 slugs/ft3. If this car is driven up a 2% grade under a head wind speed of 10 mph compute the power required to overcome (a) Aerodynamic Resistance, (b) Rolling Resistance, and (c) Grade Resistance.

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Asked Oct 21, 2019
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A Toyota Prius has the following attributes: Drag Coefficient Cd = 0.24, Frontal Area Af = 25.83 ft?, weight = 3064 lb, and Speed = 90 mph. Use air density p = 0.002378 slugs/ft3. If this car is driven up a 2% grade under a head wind speed of 10 mph compute the power required to overcome (a) Aerodynamic Resistance, (b) Rolling Resistance, and (c) Grade Resistance.

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Expert Answer

Step 1

The given data regarding a Toyota Prius is as follows:

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C 0.24 A, 25.83 ft W 3064/b v 90mph p=0.002378slugs / ft G=2%

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Step 2

(a) Power required to overcome aerodynamic resistance is given below:

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P = FxV where Pis the power Fis the force Vis the speed of vehicle

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Step 3

Aerodynamic resistance force e...

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R R is aerodynamic resistance force pis density of air C4is drag coefficient A, is frontal areaof vehicle Vis speed of vehicle

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