Answer Happy

Water is discharged into the atmosphere through a bent nozzle of
an angle (𝛼) as shown in the figure. The cross-sectional area at
the nozzle inlet and outlet are (𝐴𝑖𝑛) and (𝐴𝑜𝑢𝑡) respectively. The
discharge through the nozzle is (𝑄). The gauge pressure at the
nozzle inlet is (𝑝𝑖𝑛). The bend lies in a horizontal plane.
A) Given the values of 𝐴𝑖𝑛 [m2 ], 𝐴𝑜𝑢𝑡 [m2 ], 𝑝𝑖𝑛 [atm], 𝑄
[m3 /s], and 𝛼 [degrees], calculate the magnitude of the reaction
force component in x-direction (𝑅𝑥) in [N].
Givens: A_in = 0.199 A_out = 0.206 p_in = 0.667
Q = 0.537 α = 56.452 Answers: ( 1 ) 4999.128 ( 2 )
5733.165 ( 3 ) 6832.222 ( 4 ) 9474.027
B) Given the values of 𝐴𝑖𝑛 [m2 ], 𝐴𝑜𝑢𝑡 [m2 ], 𝑝𝑖𝑛 [atm], 𝑄
[m3 /s], and 𝛼 [degrees], calculate the magnitude of the reaction
force component in y-direction (𝑅𝑦) in [N].
Givens: A_in = 0.178 A_out = 0.188 p_in = 0.642
Q = 0.49 α = 37.498 Answers: ( 1 ) 7867.084 ( 2 )
10740.299 ( 3 ) 9192.922 ( 4 ) 10115.383
An X Agut Atmosphere V out