Question

# A major force opposing the motion of a vehicle is the rolling resistance of the tires, $F_{r}$, given by$F_{\mathrm{r}}=f w$where $f$ is a constant called the rolling resistance coefficient and $w$ is the vehicle weight. Determine the power, in kW, required to overcome rolling resistance for a truck weighing 322.5 kN that is moving at 110 km/h. Let $f =0.0069$.

Solution

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Given:

$F_r=f \cdot \dot W$ $W=322.5 \space \text{kN}=322.5 \times 10^3 \space \text{N}$ $V=110 \space \frac{\text{km}}{\text{h}}=30.55 \space \frac{\text{m}}{\text{s}}$ $f=0.0069$

The rolling resistance of the tires of a vehicle is given by $F_r=f \cdot W$. The power required to overcome rolling resistance is to be determined.

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