You just can\'t stop playing whatever iteration of Warcraft is popular these. da

Question

You just can't stop playing whatever iteration of Warcraft is popular these. days. You create a grinding stone, which is a large, spinning stone wheel that can be used to sharpen swords, or whatever pointy-thing you want sharpened (I'm told that you need "Blacksmithing" and "3x Heavy Stone"). The stone may be thought, of as a cylindrical disk of radius 0.350 m. If a constant force of 250 N is applied tangentially and produces an angular acceleration of 0.750 medinas/s^2, what is that mass of the stone wheel? (The moment of inertia for a cylindrical disk, or ahem, a wheel, is I = 1/2MR^2.)

Explanation / Answer

Torque is given by

T=FR

moment of inertia

I=T/alpha =FR/alpha

I=250*0.35/0.75=116.67 kg-m2

Since I=(1/2)MR2

=>116.67=(1/2)*M*0.352

M=1905 kg

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