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(a) Calculate the approximate force on a square meter of sail, given the horizon

ID: 2254379 • Letter: #

Question

(a) Calculate the approximate force on a square meter of sail, given the horizontal velocity of the wind is 6.00 m/s parallel to its front surface and 3.50 m/s along its back surface. Take the density of air to be 1.29 kg/m3. (The calculation, based on Bernoulli

(a) Calculate the approximate force on a square meter of sail, given the horizontal velocity of the wind is 6.00 m/s parallel to its front surface and 3.50 m/s along its back surface. Take the density of air to be 1.29 kg/m3. (The calculation, based on Bernoullis principle, is approximate due to the effects of turbulence.) (b) Discuss whether this force is great enough to be effective for propelling a sailboat

Explanation / Answer

According to bernouli principle difference between the pressures at the front end and the back end is Pf-Pb = KE at back - KE at front = 0.5 * rho * ( Vb^2 - vf^2) = 15.31 Pascals towards front surface. A = 1 m^@

force = P* A= 15.31 N.

No this force is not that great enough to be propelling a sailboat. as the mass ia very large