A jet of water having a velocity of 30.5 m/s and a diameter of 2.54 × 10-2 m is deflected by a smooth, curved vane, as shown in Fig. 4.3- 5a, where a2 = 60°. What is the force of the jet on the vane? Assume that p = 1000 kg/m³.

Solve this question using geometry and drawing To steady a sign as it is being lowered, two cables are attached to the sign at A. Using trigonometry and knowing that the magnitude of P is 300 N, determine (a) the required angle a if the resultant R of the two forces applied at A is to be vertical, (b) the corresponding magnitude of R. A 360 N 35° α P

2. Here's an interesting one. Consider a sled .. a rocket cart which is used to study acceleration and deceleration effects. (Yes that's a real thing). One way of stopping such a sled is to put a scoop on the front deflecting water upwards as in the image below: Water 60⁰ Assume scoop is 20 cm wide (into page), and dips 8 cm into the water (d = 8 cm). The sled is 1000 kg and initially traveling at 100 m/s. What is the initial deceleration .. remember F = ma.

A horizontal 10-cm-diameter jet of water strikes a vertical plate. Determine the velocity issuing from the jet if a force of 1000N is needed to:  (1) Hold the plate stationary (2) Move the plate away from the jet at 10 m/s (3) Move the plate into the jet at 10 m/s

A. Suppose a free-fall ride at an amusement park starts at rest and is in free fall. What is the velocity of the ride after 2.3 s? How far do people on the ride fall during the 2.3 s time period?

1. An incompressible fluid of kinematic viscosity v = μ/p= 10-4 m²/s flows steadily through a circular pipe of diameter d = 10 cm. The pipe flow is fully developed. Friction Factor If the average velocity V is 2 m/s, is the flow laminar or turbulent? What is the value of the friction factor, f? If the pipe is perfectly smooth on its internal surface and V is 20 m/s, the pipe flow is turbulent (double check yourself). Evaluate its friction factor using the Moody chart below. Repeat (c) by numerically solving the Colebrook formula (using, for example, Matlab). Attach the source code you used. Suppose that the pipe internal surface is rough. Also suppose that increasing V up to 200 m/s yields no change in the value of f found in (a). Determine the relative roughness, e/d, using the Colebrook formula. 0.1 0.09 0.08 0.07 0.06 0.05 0.04 0.03 0.02 0.015 0.01 Laminar Flow 64 Material Concrete, coarse Concrete, new smooth Drawn tubing Glass, Plastic Perspex Iron, cast Sewers, old Steel, mortar…

A Newtonian fluid with constant density flows in a parallel-plate apparatus that separated by a distance d and length L as shown in Figure 1. The top plate is moving in z-direction with a velocity uw. Derive the velocity distribution of the fluid, vz as a function of y using equation of motion in Appendix 1. List the postulates and you may neglect the gravity force.

Discuss and illustrate the laws of conservation of mass, conservation of energy, and conservation of momentum.

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