Today, you learned about standing waves, and how they’re made up of nodes and antinodes.

今天，驻， 以及它们如何由节和组成。

And in its most basic form, it would have just one antinode, in the middle.

在其最基本的形式中，它将具有 中间有一个位移中。

It's the simplest possible standing wave you can have, with the fewest nodes and antinodes.

它可以获得的最简单的驻 在他们身上，最低的结和偏移中。

Overtones build on the fundamental, incrementally: each overtone adds a node and an antinode.

每个覆盖添加一个节点和一个偏移中。

And the open end will be an antinode, because that’s where there’s a peak in the oscillations.

开放端将一个， 因为那振荡达到峰值的地方。

So the peaks are the antinodes, and the points that don't oscillate are nodes.

所以顶点位移中， 不动的点节点。

So the peaks are the antinodes, and the points that don’t oscillate are nodes.

所以峰， 不振荡的点节。

(including those near any open ends of the pipe) form the peaks, and therefore the antinodes.

（包括声门尖端的）构成 顶点，以及位移中。

It’s the simplest possible standing wave you can have, with the fewest nodes and antinodes.

这可以拥有的最简单的驻， 具有最少的节和。

If you look at a string on a stringed instrument, you can actually see where the nodes and antinodes are.

如果我们看弦乐器的弦，我们可以 查看节点位置和偏移中。

Instead of having a node at each end, it has an antinode at each end.

不在每一端都有一个结，而 每端的中偏移。

And the open end will be an antinode, because that's where there's a peak in the oscillations.

开口端将一个位移中，因为 顶部在示器中。

Then, the 2nd harmonic will have three antinodes and two nodes, and so on.

那么，二次谐有3个中 偏移量，两个结，等等。

Today, you learned about standing waves, and how they're made up of nodes and antinodes.

今天，我们驻，以及如何 由节点和偏移中组成。

Now what about the frequency of the second harmonic -- the standing wave with 3 nodes and 2 antinodes?

那么二次谐的频率呢... 具有 3 个节点和两个偏移中的驻？

You will have these little nodes and antinodes, but they are made up of traveling waves interfering with each other, bouncing back and forth.

你会看到这些小小的节和，它们由行相互干涉、来回反弹形成的。

So the fundamental standing wave for a pipe with two open ends will have two antinodes, and one node in the middle of the wave.

因此， 具有两个开口端的管道的基本驻将有两个，一个节位于的中间。

The points of a standing wave that don’t oscillate are called nodes, and the points at the maximum height of the peaks are antinodes.

驻不振荡的点称为节，峰最大高度处的点称为。

And then if we look at these troughs right here, or these antinodes, rather, those are going to be areas where we have total constructive interference.

然后，如果我们观察这里的这些谷，或者更准确地说， 这些反节点， 它们将成为我们拥有完全建设性干扰的区域。

But the areas where molecules oscillate the most (including those near any open ends of the pipe) form the peaks, and therefore the antinodes.

但分子振荡最多的区域（包括管道任何开口端附近的区域）形成峰，因此形成。