Calculate the approximate force on a square meter of sail, given the horizontal

Question

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

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

a)

applying bernoulli principle..

P_front + 0.5 * density * v_front^2 = P_back + 0.5 * density*v_back^2

so.. P_front + 0.5 * 1.29 * 6^2 = P_back + 0.5 * 1.29 * 3.5^2

so.. P_back - P_front = 15.31875 Pa

so... force = pressure difference * area = 15.31875 * 1= 15.31875 N per square meter

b) we can see that P_back > P_front ... so the boat will b pushed by the back pressure... so.. the boat will propelled forward

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