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Introduction to Mechanics-1. Units and Dimensional Analysis-Learning Activities-Challenge Problems Problem 3: Dimensional Analysis Solution The speed of a sail-boat or any other craft that does not plane is limited by the wave it makes – it can’t climb uphill over the front of the wave. What is the maximum speed you’d expect? Hint: relevant quantities might be the length l of the boat, the density ! of the water, and the gravitational acceleration g: Vboat-l^Xp^Yg^Z How to understand----------- The maximum speed of a single-hull displacement boat in SI units is given by Vboat = (1.25 m ^(1/2)s^(-1))*l^0.5 where l length of the hull at the waterline is measured in meters. So our estimation based on dimensional analysis requires a coefficient v = 0.40 ( lg)^(1/2) --------Thanks!!!

MIT 8.01 Physics I Classical Mechanics, Fall 1999
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