Power Generation from Constant Rotating Mass

Hanababa
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An object with a mass M is rotating around an axis, with an arm of radius R at a certain speed V.
Assuming that the movement is constant, and a 100% efficiency, how many watt of electrical power can this device generate ?

For example purpose, we can take M=60 kg, R=5 meters and V=10 meters per second.

I can't find all the formulas and am lost with the units.

Thanks a lot
 
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That device can't generate any electrical power.
 
Hello!

I assume it is some kind of engine, and rotary motion somehow generates electricity through another undisclosed system.

I would try to calculate how much Power our system has at any point, and if this motion is constant and translates to Electrical Energy - this is the generated power.

Try to find the work done by the system and how much time it takes to preform (lets say for one revolution) and then you can find the power of the system: P = dW/dt

(useful equation: P(t) = torque(t) * angular_velocity(t) )
 
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Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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