The fluid force on a side of region R if it is rotated by counter clockwise by 90 degree and then submerged in a fluid of density ρ = 1100 k g / m 3 .

Question

Suppose the solid W in the figure is the spherical half-shell consisting of the points above the xy-plane that are between concentric spheres centered at the origin of radii 4 cm and 10 cm. Suppose the density 8 of the material increases linearly with the distance from the origin, and that at the inner surface the density is 8 g/cm³ while at the outer surface it is 10 g/cm. (a) Using spherical coordinates, write d as a function of p. Enter p as rho. 8(e) = 25/9(rho-4) (5.0 (b) Set up the integral to calculate the mass of the shell in the form below. If necessary, enter o as phi, and 0 as theta. B D CLI 25/9(rho-4)rho^2sinphi "OP Ópdp A = 0 B = 2pi C = 0 D= pi/2 (Drag to rotate) E- 4 F= 10 (c) Find the mass of the shell. 4536pi

Answer 1

Question

Chapter 9.3, Problem 17E

To determine

To calculate: The fluid force on a side of region $R$ if it is rotated by counter clockwise by $90$ degree and then submerged in a fluid of density $ρ = 1100 k g / m^{3}$ .

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