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2. (75) The drag of a sailboat through the water is complicated due to multiple contributing factors. There is hydrodynamic drag that grows with speed squared just like cars and bikes experience in air, but there is also wave drag in which a boat essentially gets stuck in a traveling wave of its own making (almost like supersonic flight), and skin friction drag. Suppose we only consider the first type of drag and write it as Fa=-ku² where the sign indicates opposition to motion. The boat mass is m, and the forward wind force on the sails is Fw. The boat starts from rest at a position we will call the origin duz du dt ar (x = 0) while subject to the wind and drag forces. Using the chain rule relationship dx dt de find the relationship between distance x and speed U₂. Vz = =

2. (75) The drag of a sailboat through the water is complicated due to multiple contributing factors. There is hydrodynamic drag that grows with speed squared just like cars and bikes experience in air, but there is also wave drag in which a boat essentially gets stuck in a traveling wave of its own making (almost like supersonic flight), and skin friction drag. Suppose we only consider the first type of drag and write it as Fa=-ku² where the sign indicates opposition to motion. The boat mass is m, and the forward wind force on the sails is Fw. The boat starts from rest at a position we will call the origin duz du dt ar (x = 0) while subject to the wind and drag forces. Using the chain rule relationship dx dt de find the relationship between distance x and speed U₂. Vz = =

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2. (75) The drag of a sailboat through the water is complicated due to multiple contributing factors. There is hydrodynamic drag that grows with speed squared just like cars and bikes experience in air, but there is also wave drag in which a boat essentially gets stuck in a traveling wave of its own making (almost like supersonic flight), and skin friction drag. Suppose we only consider the first type of drag and write it as F = -kv² where the sign indicates opposition to motion. The boat mass is m, and the forward wind force on the sails is F. The boat starts from rest at a position we will call the origin duz du dt (x = 0) while subject to the wind and drag forces. Using the chain rule relationship dx dt dr find the relationship between distance x and speed V₂. ar = =
Transcribed Image Text:2. (75) The drag of a sailboat through the water is complicated due to multiple contributing factors. There is hydrodynamic drag that grows with speed squared just like cars and bikes experience in air, but there is also wave drag in which a boat essentially gets stuck in a traveling wave of its own making (almost like supersonic flight), and skin friction drag. Suppose we only consider the first type of drag and write it as F = -kv² where the sign indicates opposition to motion. The boat mass is m, and the forward wind force on the sails is F. The boat starts from rest at a position we will call the origin duz du dt (x = 0) while subject to the wind and drag forces. Using the chain rule relationship dx dt dr find the relationship between distance x and speed V₂. ar = =
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