At what maximum speed $v_{max}$ can a motorcyclist drive around a curve in the road with radius $R = 120 m$ if the coefficient of friction between the motorcycle tires and the ground $\mu = 0.25$?
Decision:
The solution of the problem is similar to the solution of Problem 27. Putting $\omega = 0$ in formula (5) of the previous problem, we obtain the inequality
$\frac{mv^{2}}{R} \leq \mu mg$
whence
$v \leq \sqrt{\mu gR}$.
Thus, for the maximum value of the speed at which the motorcycle can travel around a given curve, we obtain $v_{max} \approx 17.3 m/s = 62.3 km/h$.
Decision:
The solution of the problem is similar to the solution of Problem 27. Putting $\omega = 0$ in formula (5) of the previous problem, we obtain the inequality
$\frac{mv^{2}}{R} \leq \mu mg$
whence
$v \leq \sqrt{\mu gR}$.
Thus, for the maximum value of the speed at which the motorcycle can travel around a given curve, we obtain $v_{max} \approx 17.3 m/s = 62.3 km/h$.