Finally, there’s angular velocity to consider.

最后， 需要考虑角速度。

Finally, there's angular velocity to consider.

最后，还有待观察角速度。

And angular velocity is just equal to the frequency times 2 pi.

并且角速度是 只是频率乘以 2 pi。

In fact, its tangential velocity will be equal to its angular velocity, times the radius.

事实上，它的切向速度将是 等于它的角速度乘以半径。

This is known as its angular velocity, and is represented by the lowercase Greek letter, Omega.

也称为角速度， 它由小写希腊字母 omega 表示。

In other words, torque changes an object's angular velocity.

换句话说，它改变了扭矩 身体的角速度。

Next, the angle, theta, is just equal to the angular velocity multiplied by time.

接下来，角度θ正好等于 角速度乘以时间。

But frequency and angular velocity are really just two different ways of describing the

但是频率和角速度只是 描述一件事的不同方式。

And second, rotating objects have angular velocity, just as translating objects have linear velocity.

其次，旋转物体具有角速度， 运动物体具有线速度。

It’s represented by the lowercase Greek letter alpha, and it describes how an object’s angular velocity is changing over time.

它由小写希腊字母 alpha 表示，它描述了物体的角速度如何随时间变化。

Based on what you already know about acceleration, you can already guess that angular acceleration is the derivative of angular velocity.

根据你对加速度的了解，你已经可以猜到角加速度是角速度的导数。

It also has properties like a period, a frequency, and an angular velocity.

它还具有角色等属性， 频率，角速度。

Well, there's also angular momentum, which is equal to an object's moment of inertia times its angular velocity.

那么还有角动量，等于 因为物体的惯性矩乘以它的角速度。

So, the translational velocity of the center was equal to the radius, times the angular velocity.

因此，中心的速度将是 半径乘以角速度。

In order to conserve angular momentum, her angular velocity, the speed of her turn, has to increase, allowing the same amount of stored momentum to carry her through multiple turns.

为了保持角动量，她的角速度 也就是旋转的速度，需要增加，从而保存相同的动量让她实现多次的连续旋转。

In the same way that distance is equal to velocity multiplied by time, the angle is equal to the angular velocity multiplied by time.

与距离等于速度乘以时间相同，角度等于角速度乘以时间。

It’s the acceleration inward of any point on our rotating object, and it’s equal to the angular velocity, squared, times the radius.

它是我们旋转物体上任何一点向内的加速度，它等于角速度的平方乘以半径。

But frequency and angular velocity are really just two different ways of describing the same thing -- they just use different units.

但频率和角速度实际上只是描述同一事物的两种不同方式——它们只是使用不同的单位。

And we know that in general, the magnitude of tangential velocity is also equal to the radius, times the angular velocity.

而我们知道，一般情况下，切向速度的大小也等于半径乘以角速度。

The harder you pull on the handle, the more torque you'll generate, and the more you'll change the door's angular velocity.

把手拧得越紧，产生的扭矩就越大 旋转越多，门角速度变化越大。