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6 May, 16:49

To maintain a constant speed, the force provided by a car's engine must equal the drag force plus the force of friction of the road (the rolling resistance). The density of air is 1.2 kg/m3. (a) What are the drag forces in newtons at 80 km/h and 105 km/h for a Toyota Camry? (Drag area = 0.70 m2 and drag coefficient = 0.28.) at 80 km/h N at 105 km/h N (b) What are the drag forces in newtons at 80 km/h and at 105 km/h for a Hummer H2? (Drag area = 2.44 m2 and drag coefficient = 0.57.) at 80 km/h N at 105 km/h N

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  1. 6 May, 20:15
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    Toyota Camry

    F_d = 51.852 N

    F_d = 100.042 N

    Hummer H2

    F_d = 412.0888 N

    F_d = 8351.755 N

    Explanation:

    Given:

    - The density of air p_air = 1.2 kg/m^3

    - The drag force equals car's engine force.

    Find:

    - What are the drag forces in newtons at 80 km/h and 105 km/h for a Toyota Camry? (Drag area = 0.70 m2 and drag coefficient = 0.28.)

    - What are the drag forces in newtons at 80 km/h and at 105 km/h for a Hummer H2? (Drag area = 2.44 m2 and drag coefficient = 0.57.)

    Solution:

    - The formula for drag force is given as follows:

    F_d = 0.5*C_d*p_air*A*V^2

    Where,

    A : The drag Area m^2

    C_d: The drag coefficient

    V: Velocity m/s

    a) Toyota Camry

    C_d = 0.28, A = 0.70 m^2, V = 80 km/h = 22.222 m/s

    Then compute the F_d drag force:

    F_d = 0.5*0.28*1.2*0.70 * (22.22) ^2

    F_d = 51.852 N

    C_d = 0.28, A = 0.70 m^2, V = 105 km/h = 29.1667 m/s

    Then compute the F_d drag force:

    F_d = 0.5*0.28*1.2*0.70 * (29.1667) ^2

    F_d = 100.042 N

    b) Hummer H2

    C_d = 0.57, A = 2.44 m^2, V = 80 km/h = 22.222 m/s

    Then compute the F_d drag force:

    F_d = 0.5*0.57*1.2*2.44 * (22.22) ^2

    F_d = 412.0888 N

    C_d = 0.28, A = 0.70 m^2, V = 105 km/h = 29.1667 m/s

    Then compute the F_d drag force:

    F_d = 0.5*0.57*1.2*2.44 * (29.1667) ^2

    F_d = 8351.755 N
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