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Tesla's Zero Time Generator
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<blockquote data-quote="Ayasano" data-source="post: 79424" data-attributes="member: 4804"><p>You mentioned aboce that the bucket appears to be decelerating, but the time value is on the wrong axis. The bucket is actually <em>accelerating</em> away from the centre point.</p><p></p><p>Between 1 and 2 seconds, the bucket travels approx. 0.1 units. (Seperation of 1 on the vertical axis, time, and 0.1 on the horizontal axis, length)</p><p>Between 2 and 3 seconds, the bucket travels approx 0.3 units.</p><p>Between 9 and 10 seconds, the bucket travels approx 0.75 units.</p><p></p><p>Because time is on your vertical axis, you have to invert the gradient to get the speed.</p><p></p><p></p><p></p><p>I decided to try and plot a couple of graphs in Mathematica to extend your work. In all of the graphs, time is on the horizontal axis.</p><p></p><p>The original plot: (Distances vs. time, gradient is speed)</p><p></p><p><img src="http://grabilla.com/04207-be0ab8c0-2afe-4417-8c09-a9879e1a0733.png" alt="" class="fr-fic fr-dii fr-draggable " style="" /></p><p></p><p>Original plot extended to show how it the graph approaches a straight line:</p><p><img src="http://grabilla.com/04207-83f4a958-6f32-48a2-b559-ac8d9f96fbc4.png" alt="" class="fr-fic fr-dii fr-draggable " style="" /></p><p></p><p>If I did this right, it should show the derivative of the second graph, a.k.a the speed plot, gradient is the acceleration:</p><p><img src="http://grabilla.com/04207-d6beb648-d302-4b06-a581-8cfb6b815381.png" alt="" class="fr-fic fr-dii fr-draggable " style="" /></p><p></p><p>And finally, this shows the derivative of the above graph, so this is the acceleration graph:</p><p><img src="http://grabilla.com/04207-20f3f8e9-20ed-4994-b3ee-4151c7eab9a7.png" alt="" class="fr-fic fr-dii fr-draggable " style="" /></p><p></p><p>So you're right, from the point of view of the centre of the circle, the object does seem to be accelerating away, which seems counter-intuitive, since there are no forces acting on it. I'm going to post these on a physics forum to try and get some more info in case I've missed anything blindingly obvious. (It feels like this is another "frame of reference" problem, but I can't quite get my head around it)</p></blockquote><p></p>
[QUOTE="Ayasano, post: 79424, member: 4804"] You mentioned aboce that the bucket appears to be decelerating, but the time value is on the wrong axis. The bucket is actually [I]accelerating[/I] away from the centre point. Between 1 and 2 seconds, the bucket travels approx. 0.1 units. (Seperation of 1 on the vertical axis, time, and 0.1 on the horizontal axis, length) Between 2 and 3 seconds, the bucket travels approx 0.3 units. Between 9 and 10 seconds, the bucket travels approx 0.75 units. Because time is on your vertical axis, you have to invert the gradient to get the speed. I decided to try and plot a couple of graphs in Mathematica to extend your work. In all of the graphs, time is on the horizontal axis. The original plot: (Distances vs. time, gradient is speed) [IMG]http://grabilla.com/04207-be0ab8c0-2afe-4417-8c09-a9879e1a0733.png[/IMG] Original plot extended to show how it the graph approaches a straight line: [IMG]http://grabilla.com/04207-83f4a958-6f32-48a2-b559-ac8d9f96fbc4.png[/IMG] If I did this right, it should show the derivative of the second graph, a.k.a the speed plot, gradient is the acceleration: [IMG]http://grabilla.com/04207-d6beb648-d302-4b06-a581-8cfb6b815381.png[/IMG] And finally, this shows the derivative of the above graph, so this is the acceleration graph: [IMG]http://grabilla.com/04207-20f3f8e9-20ed-4994-b3ee-4151c7eab9a7.png[/IMG] So you're right, from the point of view of the centre of the circle, the object does seem to be accelerating away, which seems counter-intuitive, since there are no forces acting on it. I'm going to post these on a physics forum to try and get some more info in case I've missed anything blindingly obvious. (It feels like this is another "frame of reference" problem, but I can't quite get my head around it) [/QUOTE]
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