(3) The cart shown below is restrained from moving by a cable connected to a fixed wall. The tank has a circular cross section of diameter D and the flow exit has a circular cross section of diameter Do. Do not assume that H(t) is constant. The fluid has density p and the exit is open to the atmosphere. Wall H Do Cable Vo (1) Determine H(t) and the exit velocity Vo(t). (2) Determine the tension in the cable as a function of time Your answers should be in terms of given parameters (D, Do, p , g)

Find the resultant force in the y-direction Fr,y for a volumetric flow rate in the y direction of 100 L/hr, a pressure of 150 kPa, and a diameter of 3 cm. Use the equation Fr, y = -m1y1 - P1A1

simple answer no need to explain

1. A water jetpack suspends a 7Okg man in air without motion along the vertical and the horizontal as the man tilts the platform. The jetpack has two outlets, each has a diameter of 5cm, and an inlet with a diameter of 6cm. Calculate the volumetric flowrate, in and out of the water jetpack, and the angle 00 such that there is no motion along any direction. Neglect the weight of the jetpack. The inlet is perpendicular to the outlet. inlet W W Qi 2Q. ВАCK SIDE

Consider the bend shown in . The total mass of the bend and the water within it is 20 kg, with a mass center at point G. The pressure of the water at A is 50 kPa Assume that no force is transferred to the flanges at A and B. Suppose the velocity through the pipe to be 4.5 m/s. 100 mm By 60 100 mm 600 mm 150 mm- 100 mm D Part A Determine the horizontal component of force exerted on the fixed support D. Express your answer to three significant figures and include the appropriate units.

Once it has been started by sufficient suction, the siphon in the Fig. will run continuously as long as reservoir fluid available. Using Bernoulli's equation with no losses, show (a) that the exit velocity V2 depends only on gravity and the distance H and (b) that the lowest  vacuum pressure occurs at point 3 and depends on the distance L+H

Water flows steadily through a horizontal 30 degree pipe bend. At the inlet point 1, the diameter is 0.3 m, the velocity is 12 m/s, and the pressure is 128 kPa gauge. At the outlet point 2, the diameter is 0.38 m and the pressure is 145 kPa gauge. Determine the forces F_x and F_y necessary to hold the pipe stationary.

A 30º reducing elbow is shown. The fluid is water. Evaluate the components of force that must be provided by the adjacent pipes to keep the elbow from moving. Assume steady, incompressible, uniform flow. ρwater= 999kg/m3, Q= 0.11 m3/s.1 atm = 101 kPa;

Consider an airplane flying with a velocity of 60ft/s at a standard sea level conditions. At a point on the wing, the airflow velocity is 70ft/s. Calculate the pressure at this point. Assume the incompressible flow.

Problem Consider a cylindrical pipe of length L and diameter D = 2R. The angle that the axis of the pipe forms with the vertical direction is a. Assume that when the fluid enters the pipe its velocity is uniform (i.e., it has the same value over the entire cross-section of the pipe) and equal to U in the axial direction. In the radial and angular directions, the velocity is zero. So, it is: 2 =0: v(r, 0, 2) = Ue, (1.1) Here v is the fluid velocity and e, is a vector of unit magnitude parallel to the coordinate axis z; furthermore, we have assumed that the pipe inlet is located at z = 0. Near the entrance of the pipe, the velocity profile varies in the axial direction. But after a certain entrance length, the profile becomes fully developed, no longer changing with z. The evolution of the velocity profile is sketched in Fig. 1, where, for clarity, the pipe inclination is not shown. The entrance length is denoted by L.. For z > L., the fluid velocity is no longer a function of the axial…