A bucket of water with total mass 23kg is attached to a rope,which in turn, is w

Question

A bucket of water with total mass 23kg is attached to a rope,which in turn, is wound around a .050m radius cylinder at the topof a well. a crank with a turning radius of .25 m is attached tothe end of the cylinder. What minimum force directed perpendicularto the crank handle is required to just raise the bucket?(assumethe rope's mass is negligible, that the cylinder turns on africtionless bearing, and that g=9.8m/s^2.) A bucket of water with total mass 23kg is attached to a rope,which in turn, is wound around a .050m radius cylinder at the topof a well. a crank with a turning radius of .25 m is attached tothe end of the cylinder. What minimum force directed perpendicularto the crank handle is required to just raise the bucket?(assumethe rope's mass is negligible, that the cylinder turns on africtionless bearing, and that g=9.8m/s^2.)

Explanation / Answer

in order to raise the bucket the torque from the handle must begreater than the torque produced by gravity pulling the bucketdown, so.... Fg = 23 * 9.8 = 225.4 N Tg = 225.4 N * .05M = 11.27 Nm so we need the torque on the pulley to match this, thus... Tpulley = 11.27 Nm = Fpulley * .25m Fpulley = 45.08 N message me if any of this is unclear

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