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m.48d88.com:陕西省西安市第六十六中学高中物理《圆周运动》课件 新人教版必修2_图文

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轨迹是圆周的运动叫圆周运动。
皮带轮 飞轮 电动机转子各部分

在我们日常生活中,最常见最简
单的圆周运动是匀速圆周运动。

匀速圆周运动:质点沿圆周运动,如 果在任何相等的时间里通过的圆弧相 等,这种运动就叫做匀速圆周运动。
砂轮上各点

电子钟指针上每 一点

速度

?s v? ?t
?s
时间

?t

质点做匀速圆周运动时,它通过的圆 弧 ? S 跟所用的时间 ?t 之比是个定 值,这个比值就是匀速圆周运动的速 率(速度的大小):

?s v? ?t
(线速度的大小)

单位 m/s

(v在数值上等于质点在单位时间内通过 的弧长)

周期:质点做匀速圆周 运动时,运动一周所用 的时间。用 T 表示。

T

质点沿半径为r的圆周做圆周 运动,周期为T,则

2?r v? T

角速度

?? ?? ?t

??
时间

?t

角速度:半径转过的角度?? 跟所用的 时间 之比。用 表示。

?t

?

( 在数值上等于质点在单位时间内沿 半径所转过的角度 ) 质点做匀速圆周运动,周期是T
则有:

?

角度的单位是rad,时间的单位是s,故角速 度的单位是rad/s.

2? ?? T

例1. 半径10cm的砂轮,每0.2秒转一周,砂 砂轮旋转的角速度多大?砂轮边沿一 点的速度大小为多少?
解:从题中知r=10cm=0.1m,T=0.2s
2? 2? ?? ? ? 10? rad/s T 0.2 2? 2? ? 0.10 v? ? ? ? m/s t 0.2 答:砂轮旋转的角速度为10? rad/s, 砂轮边沿一点的速度大小为 ? m/s.

线速度与角速度的关系: (推导):

2? ?? T 2?r v? T 两式相除得:

v ? ?r

思考题: “物体做匀速圆周运动时,其速度 是恒定不变的。” (这种说法正确吗?) 请选择: 正确 错误

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