4. An impeller rotating at 1150 rpm has the following data: b, = 1 ¼ in., b2 = ¾ in., d, = 7 in., d2 = 15 in., B1 = 18", B2 = 20°, cross-sectional area A = Db if vane thickness is neglected. Assuming radial inlet flow, determine the theoretical capacity in gpm head in ft horsepower 5. If the impeller in Problem (4) develops an actual head of 82 ft and delivers 850 gpm at the point of maximum efficiency and requires 22 BHP. Determine overall pump efficiency virtual velocities V2 and W2

(30 pts) Problem 1 A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A moment M mgr 4 is applied to the rod. Assume that the bowl is fixed and its rim is in the horizontal plane. HINT: It will help you to find the length l of that portion of the rod that remains outside the bowl. M 2r a) How many degrees of freedom does this system have? b) Write an equation for the virtual work in terms of the angle 0 and the motion of the center of mass (TF) c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ) a. HINT: Use the center of the bowl as the coordinate system origin for the problem. d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to solve for the equilibrium angle of the rod. DO NOT solve the equation e) In the case of an applied moment (i.e., M = mgr = -) derive an equation that can be used to 4 solve for the equilibrium angle of the rod. DO NOT solve the equation. f) Can…

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