Question: A vertical dam has a semicircular gate as shown in
A vertical dam has a semicircular gate as shown in the figure. Find the hydrostatic force against the gate.
Answer to relevant QuestionsA cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. Find the hydrostatic force on (a) The top of the cube and (b) One of the sides of the cube.(a) Use the formula of Exercise 16 to show that F = (pgx) A where is the -coordinate of the centroid of the plate and A is its area. This equation shows that the hydrostatic force against a vertical plane region is the same ...Use a graph to find approximate -coordinates of the points of intersection of the curves y = x + in x and y = x3 – x. Then find (approximately) the centroid of the region bounded by these curves.The demand function for a certain commodity is p = 5 – x/10. Find the consumer surplus when the sales level is 30. Illustrate by drawing the demand curve and identifying the consumer surplus as an area.Use Poiseuille’s Law to calculate the rate of flow in a small human artery where we can take η = 0.027, R = 0.008 cm, l = 2 cm, and P = 4000 dynes/cm2.
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