Explanation Given: The unit weight of oil ( γ ) is 54.9 lb / ft 3 Calculation: Draw the free body diagram of the plate as shown in the figure (1). Refer the figure (1), Calculate the center of gravity ( h ¯ ) of the plate from the top surface. h ¯ = ( 18 − 4 r 3 π ) sin 60 ° ft h ¯ = ( 18 − 4 × 6 ft 3 π ) sin 60 ° ft =13 .38 ft Calculate the resultant force acting on the circular plate. F R = γ h ¯ A F R = 54.9 lb / ft 3 × 13.38 ft × ( 1 2 × π × ( 6 ft ) 2 ) = ( 41548 lb ) × 1 kip 1 , 000 lb = 41.55 kip Thus, the resultant force acting on the circular plate is 41.55 kip _ . Calculate the area moment of inertia of the semi plate about its centroid ( I ¯ x )

2nd Edition

ISBN: 9780134649290

Author: Russell C. Hibbeler

Publisher: PEARSON

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Chapter 2, Problem 86P

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The resultant force acting on the semicircular plate and its location on the plate measured from the base AC of the tank.

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Chapter 2, Problem 85P

Chapter 2, Problem 87P

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Fluid Mechanics (2nd Edition)

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