Explanation Given information: The volumetric flow rate ( Q ) is 475 gal/min. The magnitude of velocity ( v ) is 60 ft/s. Calculation: Find the mass flow rate ( d m d t ) using the relation: d m d t = ρ Q = γ g × Q Here, γ is density of the fluid and g is acceleration due to gravity. Substitute 62.4 lb/ft 3 for γ , 32.2 ft/s 2 for g , and 475 gal/min for Q . d m d t = 62.4 lb/ft 3 32.2 ft/s 2 × ( 475 gal/min × 0 .002228 ) ft 3 /s = 2.051 slug/s Write the expression for velocity vectors: v = v i v 1 = v ( cos 30 ° i + sin 30 ° j ) v 2 = v ( cos 45 ° i − sin 45 ° j ) Draw the free body diagram of the nozzle using impulse momentum principle as in Figure (1). Refer Figure (1), Find the components of the force exerted by the stream on the wedge (F) using the relation: ( Δ m ) v + F ( Δ t ) = ( Δ m 2 ) v 1 + ( Δ m 2 ) v 2 F = ( Δ m ) ( Δ t ) ( 1 2 v 1 + 1 2 v 2 − v ) Substitute d m d t for ( Δ m ) ( Δ t ) , v i for v, v ( cos 30 ° i + sin 30 ° j ) for v 1 , and v ( cos 45 ° i − sin 45 ° j ) for v 2

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9781259639272

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works …

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Chapter 14.3, Problem 14.59P

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The components of the force exerted by the stream on the wedge.

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Chapter 14.3, Problem 14.58P

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Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

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