# Wind speed required to pump

1. Oct 29, 2008

1. The problem statement, all variables and given/known data
Find the minimum wind speed for the windmill to pump water. The pump is connected to a gear at a point 0.16m from the center. The radius of this gear (Gear 1) is 0.2m and the gear which it interlocks with is 0.1m (Gear 2). They intersect each other perpendicular to one another (see image)
http://img399.imageshack.us/img399/9013/pumpgearingconnectiongo1.th.png [Broken]http://g.imageshack.us/thpix.php [Broken]

The turbine blades run parallel to the horizon and have a surface are of 1.5m^2 (3m wide x 0.5m high).

2. Relevant equations
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3. The attempt at a solution
I have found the weight of the water to be 250N (calculated from data which has not been included in the question). Assuming there is no friction I have calculated the force required on the centre of the turbine to be ~9N. I have done this by assuming that there is a constant torque throughout the system, so that the torque created by the weight of the water is transfered to gear 1 then to gear 2 and then to the turbine blade. Have I approached this correctly? (laugh if you want lol, i have never tried to solve a similar problem before). If so, have do i convert the force required to a wind speed.