An open horizontal tank 3 m high, 3.6 m wide and 5.1 m long is initially filled at 2 m of water. a. Determine the required acceleration in m/s² so that no water willbe Ibe spilled? I Select] b. Determine the required acceleration m/s? so that 1/3 of the initial volume of water will be spilled. [Select] c. Determine the remaining volume in cu.m. if it accelerated at 7 m/s^2. ISelect]

Problem #3 - Modeling, Mixing Problem Two tanks are connected by pipes in parallel as shown in Figure 2. Tank 1 starts with 160 lb of salt dissolved in 200 gal of water. Tank 2 starts with 100 gal of pure water. Using the diagram below, solve for the particular solutions of salt concentration in each tank as a function of time. Plot the solutions in Excel on the same plot. Note: some flow rates have been intentionally left out of the diagram below; use the conservation of mass to determine those. As a thought experiment, consider what negative eigenvalues imply. What would it mean if the eigenvalues were positive instead (what would the math say)? i.) ii.) iii.) iv.) v.) vi.) vii.) Use a conservation equation to develop your differential equation model (you should end up with two ODEs to describe the change in salt in both tanks). Write your system of ODEs in matrix form. Set up the eigenvalue problem and then determine the eigenvalues. Use the eigenvalues to determine the…

5) A piece of machinery is enclosed in a sound-dampening cabinet, but you are concerned that the noise level is still too high for nearby workers. You make a measurement of absolute pressure exerted by the sound wave 1 ft outside the (closed) cabinet and find that the sound coming from it is 4.8 Pa. a) What is the sound pressure level at the location where you took the measurement? (i.e., 1 ft from the cabinet). b) You have been asked to draw a circle around the machinery cabinet to indicate the boundary beyond which hearing protection is not required. How far from the machinery must you be to be below the OSHA PEL of 90 dB (provide radius in ft)? c) If a worker spends 3 hrs working near the cabinet, what would their total dose be? Assume: 1) an 8-hr shift, 2) the average distance from the cabinet during the exposed portion of the shift is 1 ft (the same distance as the measurement), and 3) that the other 5 hrs had 0 exposure to noise. d) Should hearing protection be required? If so,…

is this soultion of Q2 correct?