有没有物理帝可以解答这题!A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the h

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/29 22:57:25
有没有物理帝可以解答这题!A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the h
xTn@AZQ0,QNth!`Ӣqs M(j:3וG{Di(q9IL!1Q"';P$z%(JH^&2.8 Ev"F9sQRxQj.rז3G^(#j!qYJD辈\&K'3XY p@3=8Zəefֵ*|Z۴jFjo4,hC}#8/F&_ͩ18>${PhpcB6DYjɜ|}`tt]d@ [g=0 lU66t+n62gѪۼ^ZM} ;Hziwa@E y܎=[nIq?VHؘb3WUYֽ+q>U-N|c^oz14`ѩ{9\F84;f!5{\ <&׭PYDJpC.vSgN~nܚ I*هr

有没有物理帝可以解答这题!A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the h
有没有物理帝可以解答这题!
A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the horizontal?

有没有物理帝可以解答这题!A road that rises 1 ft for every 100 ft traveled horizontally is said to have a 1 percent grade.Portions of a particular road in the mountains have a 9 percent grade.At what angle is this road inclined above the h
这个题目翻译过来应该是:如果一条路在每水平方向上延伸100英尺,该路在垂直方向上上升1英尺,我们就称这条路有1/100的坡度.如果有一条山路的坡度为9/100,那么这条路相对于地平面向上倾斜的角度是多少?
通过题目的前半部分对坡度的解释,坡度实际上就是路在垂直方向上的高度/水平方向上的长度.这就是我们熟知的斜率问题.坡度(或者斜率)的大小为路与地平面之间的夹角θ的正切值.
所以有:tanθ=9/100.则 θ=arctan9/100= 5.1428 °
所以这条路相对地平面倾斜的角度为 5.1428 °