A curved section of roadway is in the shape of a circular arc with a 410-meter radius. The section is horizontal and not banked. Given that the coefficient of friction between the tires and the roadway is 0.40, what is the maximum safe driving speed for this unbanked, curved section of the roadway?
Answer (2)
The maximum safe driving speed for an unbanked, curved section of roadway can be calculated using the coefficient of friction and the radius of the curve. In this case, we have a curved section with a radius of 410 m and a coefficient of friction of 0.40. The maximum safe driving speed can be determined using the formula:
v = sqrt(radius * g * friction)
where v is the maximum safe driving speed, radius is the radius of the curve, g is the acceleration due to gravity (approximately 9.8 m/s^2), and friction is the coefficient of friction.
Substituting the given values into the formula:
v = sqrt(410 * 9.8 * 0.40) = 25.57 m/s = 58.0 km/h
Therefore, the maximum safe driving speed for this unbanked, curved section of roadway is approximately 58.0 km/h.
The maximum safe driving speed for the unbanked curved section of roadway is approximately 144.04 km/h. This is calculated using the formula that incorporates the radius of the curve and the coefficient of friction. By applying the given values, the result can be accurately determined.
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