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g information for quesuoms eaking out of a water tank from a relatively small ho

ID: 1787498 • Letter: G

Question

g information for quesuoms eaking out of a water tank from a relatively small hole 1.00 m below the tank's List at least two assumptions you can make to analyze this problem with Bersoull's 15. What is the velocity of water leaving this small hole? 16. How far will this water stream travel if the hole is 2.00 m off the ation for questions 17-20. Water at 20.0 C is flowing in a pipe At point I the velocity velocity is 6.22 m/s. At point 1 the pressure is 2.56 m/s and at point 2, which is 0.285 m higher in elevation, 1 is 15,400 Pa. Assume that the density of water and gravity remain constant. 17. Solve Bernoulli's equation algebraically, without substitutin g apy of the actual yvaluss given in problem, so that the terms Pi-P: are the onl y terms on the left-hand side of the equation. Watch your 18. Calculate the numerical value of pvi) 19. Calculate the numerical value offRT½-y,) 20. Calculate the numerical value of the pressure at point 2.

Explanation / Answer

18) the numertical vale of 1/2 * rho ( v2^2 - v1^2) is

= 1/2 * ( 998.2) ( 6.22^2 - 2.56^2)

=16038.47 kg / m^2 s

(19)

the numerical value of rho g ( y2- y1)

= 998.2 ( 9..8) ( 0.285-0)

=2787.9726 kg/m s^2

20)

p2 = p1 + 1/2 * rho ( v1^2 - v2^2) + rho g ( y1- y2)

= 15400 + 1/2 * ( 998.2) ( 2.56^2 - 6.22^2) + 998.2 ( 9.8(0-0.285)

= 15400-16038.47-2787.9726

=-3426.45128 Pa

the negative sign indicates pressure decreases