B 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.
 
Can someone here check my math? On an euc (electric unicycle), the motor has to exact the same amount of torque onto the wheel+tire that the rider exerts onto the euc, otherwise the frame would rotate (due to the motor exerting an equal in magnitude but opposite direction onto the frame than it does onto the wheel, a Newton third law like pair of torques). Choosing some arbitrary numbers: rider = 200 lb euc = 100 lb rider + euc = 300 lb tire radius = .83333 foot (10 inches) rider center...

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