High School Is the time derivate of force equal to the position derivative power?

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The discussion centers on whether the time derivative of force is equivalent to the position derivative of power. It is noted that this concept may seem nonsensical at first glance. However, it is clarified that for a varying force applied at constant speed, the two derivatives can indeed be related. The conversation highlights the importance of understanding the context of force and power in physics. Overall, the relationship between these derivatives is complex and requires careful consideration.
highschoolstudent454
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Is this wrong?
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It is quite nonsensical.
 
highschoolstudent454 said:
Is the time derivate of force equal to the position derivative power?
For a varying force applied at constant speed, yes.
 
I built a device designed to brake angular velocity which seems to work based on below, i used a flexible shaft that could bow up and down so i could visually see what was happening for the prototypes. If you spin two wheels in opposite directions each with a magnitude of angular momentum L on a rigid shaft (equal magnitude opposite directions), then rotate the shaft at 90 degrees to the momentum vectors at constant angular velocity omega, then the resulting torques oppose each other...

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