题目内容
如图,轮A和轮B之间无相对滑动,轮B和轮C共轴转动。已知轮B的半径为r,轮A半径为2r,轮C半径为4r,当轮A匀速转动时,轮A、B、C边缘上的三个点
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241324079932892.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/201408241324079932892.png)
A.线速度之比为1︰1︰4 |
B.角速度之比为2︰1︰1 |
C.加速度之比为1︰2︰8 |
D.周期之比为2︰4︰1 |
AC
轮A和轮B之间无相对滑动,轮B和轮C共轴转动。所以
,
,所以,
,
,故线速度之比为1:1:4,A正确,因为
,
,所以角速度之比为1:2:2,B错误,因为
,所以加速度之比为1:2:8,C正确,
,所以周期之比为2:1:1,D错误,
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132408025462.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132408056490.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132408103546.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132408134604.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132408212627.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132408103546.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132408259519.png)
![](http://thumb.1010pic.com/pic2/upload/papers/20140824/20140824132408305614.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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