# A sailboat can be propelled into the wind by a maneuver called beating.docx

M

A sailboat can be propelled into the wind by a maneuver called beating to windward. Beating requires the sailboat to travel in a zigzag pattern at an angle to the wind that is greater than the no-go zone, which is shaded red in (Figure 1). When a sailboat is just outside the no-go zone (boats B in the figure) the wind exerts a force F on the sail that has a component in the direction of motion v Similar comments apply to boats C. The work done by the wind on the sail is W = Fdcose and because u = d/t, the propulsion power P = W/t delivered to the sailboat is Fucos where ? is the angle between the sail force and the direction of motion. Solution A) Less than B) The propulsion power delivered, P = F.v = F*v*cos(theta) = 860*13*cos(78) = 2324 W or J/s C) The propulsion power delivered, P = F.v = F*v*cos(theta) = 860*13*cos(55) = 6412 W or J/s .

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### A sailboat can be propelled into the wind by a maneuver called beating.docx

• 1. A sailboat can be propelled into the wind by a maneuver called beating to windward. Beating requires the sailboat to travel in a zigzag pattern at an angle to the wind that is greater than the no-go zone, which is shaded red in (Figure 1). When a sailboat is just outside the no-go zone (boats B in the figure) the wind exerts a force F on the sail that has a component in the direction of motion v Similar comments apply to boats C. The work done by the wind on the sail is W = Fdcose and because u = d/t, the propulsion power P = W/t delivered to the sailboat is Fucos where ? is the angle between the sail force and the direction of motion. Solution A) Less than B) The propulsion power delivered, P = F.v = F*v*cos(theta) = 860*13*cos(78) = 2324 W or J/s C) The propulsion power delivered, P = F.v = F*v*cos(theta) = 860*13*cos(55) = 6412 W or J/s
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