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The answer is that simply knowing the particle has an acceleration is not enough to tell you where the particle will be.
答案是这样的,仅仅知道质点的加速度,是不足以告诉你它接下来的运动的
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In other words, you don't have to be moving actually in a circle to have the acceleration.
也就是说,你不必真的在一个圆上运动以获得相应的加速度
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And the electrical energy is the product of the charge on the electron times the voltage which is the potential difference through which the electron was accelerated. And so this allows me to, by increasing the voltage, increase the energy on the electron.
电子能量是电子上的电荷数,乘以电压的结果,这是种内在的差距,通过它电子运动得以加速，这也让我，通过增强电压，来增加电子能量。
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This particle is constantly changing its direction, but it therefore has an acceleration and the acceleration, we have shown here, is pointing towards the center.
这个质点恒定地改变它的运动方向,因此它具有加速度,而且这个加速度,我们前面也讲过了,指向圆心
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It means, when you are accelerating upwards, as the elevator picks up speed, the reading on the spring will be more and you will feel heavy.
也就是说当你向上做加速运动时,就像电梯加速的时候,弹簧的读数会增大,你会觉得自己变重了
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What's your plan for measuring acceleration if some little thing is moving?
如果某个小物体在运动,你要如何测量加速度
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That also cannot happen, so they're moving with the same acceleration.
这也不可能发生,所以它们以相同的加速度运动
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We are talking about particles of constant acceleration.
我们目前都是在讨论匀加速运动的质点
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The fact that when you go in a circle, you accelerate is what we're learning here, coming from the fact that velocity is a vector and its change can be due to change in the magnitude or change in direction.
而当你做圆周运动时你也在加速,这是我们在这里所学到的,原因就在于,速度是一个矢量,其变化可以通过改变模长,或者方向来实现
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But if I'm accelerating, the force exerted by the spring and therefore, the needle the weighing machine reads is m.
但是如果我在加速运动,那么弹簧的弹力,也就是称重机上指针的读数就是 m
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Even at=0, and it has an initial velocity, so even without any acceleration, it will be moving from y0 to y0+vt.
即使at=0,它仍然有初速度,因此即使加速度为0,它也会从y0运动到y0+vt
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When a particle moves in a circle, it has an acceleration towards the center of this size, v^2 over R.
当一个质点在圆周上运动时,它有一个指向圆心的加速度,v^2 / R
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It tells you when a particle moves in a circle, it has an acceleration in a negative R direction, namely directed towards the center.
它告诉你当一个物体在圆周上运动时,它有一个在 -R 方向的加速度,也就是说是直接指向圆心的
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Now, what happens if the elevator is accelerating upwards with an acceleration a?
现在如果电梯向上以加速度 a 运动,会发生什么呢
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We said, "Let's take, for the simplest case that we can possibly imagine, namely a particle moving in one dimension along the x-axis with a constant acceleration a.
我们说过,"考虑我们可以想象的最简单的情况,即质点在一维空间运动,沿着 x 轴且保持恒定加速度 a
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Whenever you see a particle moving in a circle, even if it's at a constant speed, it has an acceleration, v square over r directed towards the center.
只要看到质点做圆周运动,即使是匀速圆周运动,也存在一个加速度,大小为 v^2 / r,方向指向圆心
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So, this certainly describes a particle whose acceleration is a.
它确实描述了一个加速度为a的质点的运动
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