Chapter 13, Problem 10P

Water flows steadily through a pipe junction as shown in the diagram. The velocities provided are cross sectional averages and water is leaked through a hole in the junction at a rate of 0.1 m³/s. What is the average velocity through section 2? A₁ = 0,2m² V₁ = 5m/s 2 Ne leak Q = 0.1m³/s 3 V3 = 12 m/s A3 0.15m² Az = 0.2m²

A 6-cm-diameter horizontal stationary water jet having a velocity of 40 m/s strikes a vertical plate. Determine the force needed to hold the plate if: (a) It is stationary (b) It moves away from the jet at 20 m/s (c) It moves into the jet at 20 m/s (Answer: (a) 4524 N (b) 1131 N (c) 10,180 N)

Explain Snell’s law with respect to seismic waves. For figure 3. Find out θ2, θ3, θ4 and θ5, for the given velocity model.

Example: A set of independent current measurements were taken by six observers and were recorded as 12.8 mA, 12.2 mA, 12.5 mA, 13.1 mA, 12.9 mA, and 12.4 mA. Calculate (a) the arithmetic mean. (b) the deviation from the mean. (c) the average deviation?

Question 1 A merchant ship has metacentric height of 2.7 m. After unloading, it increased to 3.6 m. The ratio of time periods before and after unloading the cargo ship if the radius of gyration is not altered is

The answer must be 7 m/s^2

Consider the following y-x graph of a wave's position. At time t = 0, x0 = 2.0 m, yo = 1.4 m, and ymax = 2.0 m. Using the graph, write the mathematical description of the y- position y(x,t) of the wave as a function of position x and time t if the period of motion is 2.0 s, and the wave moves to the right (toward the positive x-direction). Round the phase angle to two significant figures. +y max You y(x,t) = -y max y(m) x x(m)

● Solve the following problem for Mp by Kinematic and Static Method? 2.0 m B 20 kN M₂ 4.0 m 2.0 m 000 152 kN 2.0 m Mp 4.0 m 2.0 m E

A V-notch is simple flow-measurement device for streams and channels of angle a, as shown in the figure below. The volume flow Q depends only on a, the acceleration of gravity g, and the height d of the upstream water surface above the notch vertex. Tests of a model V-notch, of angle a= 55°, yield the following flow rate data: 8, cm: 11 22 31 39 Q, m³/h: 8. 125 262 47 (a) Using dimensional analysis and Buckingham’'s II theorem, develop a correlation for the data. (b) Use the model data to predict the flow rate of a prototype notch, also of angle a= 55°, when the upstream height d is 3.3 m.