Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Maximum Speed on Banked Roadway

银行道路的最大速度

For a highway curve of radius r = m = ft

对于半径为 r = m = ft 的高速公路弯道
中文译文中的待填/计算数值依次对应:1:r 2:rc。实际数值以上方原输入框为准。

where the angle of bank is θ = °

其中,坡道的角度为θ = °
中文译文中的待填/计算数值依次对应:1:ang。实际数值以上方原输入框为准。

and the coefficient of static friction is μs = ,

并且静摩擦系数为 μ_s = ,
中文译文中的待填/计算数值依次对应:1:mu。实际数值以上方原输入框为准。

the maximum speed for the banked road with this coefficient of friction is
vmax = m/s = mi/hr = km/hr.

具有此摩擦系数的倾斜道路的最大速度为 v max = m/s = mi/hr = km/hr。
中文译文中的待填/计算数值依次对应:1:v 2:vc 3:vk。实际数值以上方原输入框为准。

For comparison, the maximum speed with zero friction would be
vmax = m/s = mi/hr = km/hr.

相比之下,无摩擦的最大速度为 v max = m/s = mi/hr = km/hr。
中文译文中的待填/计算数值依次对应:1:vz 2:vcz 3:vkz。实际数值以上方原输入框为准。

and the maximum speed for a flat road with this coefficient of friction would be
vmax = m/s = mi/hr = km/hr.

并且,对于这种摩擦系数的平坦道路,最大速度为 v max = m/s = mi/hr = km/hr。
中文译文中的待填/计算数值依次对应:1:vf 2:vcf 3:vkf。实际数值以上方原输入框为准。

The concepts used in this analysis included Newton's second law, centripetal acceleration, static friction, and the division of vectors into components. The horizontal components of the friction and normal force are constrained to provide the centripetal acceleration in the x direction to keep the car moving in a circle. The sum of the y components of all the forces must be zero since there is no acceleration in that direction.

该分析中使用的概念包括牛顿第二定律、向心加速度、静摩擦力以及将矢量分解为分量。摩擦力和法向力的水平分量被约束为在x方向提供向心加速度,以使汽车保持在圆周运动。由于在该方向上没有加速度,所有力的y分量之和必须为零。
Index

Friction concepts
摩擦概念索引
 
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力学
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