A 1500-kg race car is driven at a speed of 150 km/hr on a circular race track of radius 50 m. What frictional force must be exerted by the tires on the road surface to keep the car from skidding?
Question 2.8.5: A 1500-kg race car is driven at a speed of 150 km/hr on a ci...
The frictional force exerted by the tires must be equal to the component of the force (due to acceleration) normal to the circular race track. That is,
\begin{aligned}F &=m v^{2} \kappa=\frac{m v^{2}}{\rho}=(1500 \mathrm{~kg}) \frac{(150,000 \mathrm{~m})^{2}}{(3600 \mathrm{sec})^{2}} \cdot \frac{1}{50 \mathrm{~m}} \\&=52,083 \frac{1}{3}(\mathrm{kg})(\mathrm{m}) / \sec ^{2}=52,083 \frac{1}{3} \mathrm{~N} .\end{aligned}Related Answered Questions
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