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# How fast is the handle turning when the bucket hits bottom?

You accidentally knock a full bucket of water off the side of the well shown in (Figure 1). The bucket plunges 13 m to the bottom of the well. Attached to the bucket is a light rope that is wrapped around the crank cylinder. The cylinder has a radius of 0.080 m and inertia of 4.0 kg. The inertia of the bucket plus water is 12 kg.

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- Andrew SmithLv 72 months agoFavorite Answer
The mass of the cylinder acts as if it is 1/2 m

ie 12 * g * 13 = 1/2 * ( 12+2) v^2 -> v= sqrt( 12*9.8*13 *2/14) = 14.8 m/s and w = v/r = 14.8 / 0.080 = 185 radians per second. ( neglecting the handle )

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