SAE 50W oll at 20°C flows from one tank to another through a tube 165 cm long and 5 cm in diameter. Estimate the flow rate in m³/hr if 21-2 m and 22= 0.8 m. For SAE 50W oll, take p=902 kg/m³ and p=0.86 kg/m-s. Take π= 22/7. (1) The flow rate is m³/hr. (2)
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- 2. A beverage company would like to use a mean chart to monitor how much liquid beverage it puts into each 500-ml bottle. They know from experience that whenever this process is under control, bottle weight is normally distributed with a mean of 500 ml and a standard deviation of 2 ml. The company plans to measure samples of 30 bottles from the production lineevery hour and record the mean weight of liquid beverage in the bottles. If the company uses z = 3 as its standard for establishing the mean chart, where will the upper and lower control limits be on the chart? (Noteshaper: Scenario #28)i need help with calculating rate of diffusion for 3 crystals and 6 crystals Diffusion Diffusion Diffusion Spot Spot Time Spot Diameter 1 Diameter 3 Diameter 6 (min) Crystal Crystals Crystals (mm) (mm) (mm) 10 15 0-15 0-15 20 16 0-16 0-16 30 18 0-18 0-18 Time Rate of Diffusion for Rate of Diffusion for 3 Crystals Rate of Diffusion for 6 Crystals (min) 1 Crystal (mm/hr) 0-10 90 0-20 48 0-30 36 (mm/hr) (mm/hr) Rate [mm/h] = (diameter [mm] / time [min]) x 60 [min] XThe following is the temperature control system of a heat exchanger. a)Identify the type of system. b) Calculate the steady state error when it is subjected to an input. r(t) = 2 c) Calculate the steady state error when subjected to an input. r(t) = 3t R(s) 15 C(s) 5³ - 5²² + 5s
- . Mary and Tom operate a lemonade stand. They are concerned that the lemonade doesnot taste fresh at the end of the day. Which of the following variables is an environmental variable in their operation?a. The temperature of the lemonade when they take it out of their refrigerator in themorningb. The temperature of the air during the dayc. The temperature of the lemonaded. The temperature of the water used to make the lemonadeMeena Chavan Corp.’s computer chip production process yields DRAM chips with an average life of 1,800hours and s = 100 hours. The tolerance upper and lowerspecification limits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAM chips tospecification?Output from a process contains 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection station be established to test all units? Assume that the line will operate at the same rate (i.e., the current production rate) regardless of whether or not the inspection operation is added. a-1. Without the inspector, what is the current hourly cost of defects? a-2. Should an inspection station be established to test all units based on costs alone? multiple choice Yes No a-3. If the inspection operation is added, what would be the cost to inspect each unit? Note: Round your answer to 2 decimal places. b. What would be the benefit (or loss) from establishing the inspection process? Note: Round your answer…
- The K of a proportional controller is 30 and the reference value is 50% of the output. A valve is used at its outlet that, for the reference value, allows a flow of 2.0 m?/s. The valve changes its output in direct proportion to the controller output. What will be the controller output and deviation in error when the flow is to change to 2.5 m/s?Webster Chemical’s nominal weight for filling tubes of caulk is 8.00 ounces ± 0.60 ounces. The target process capability ratio is 1.33. The current distribution of the filling process is centered on 8.054 ounces with a standard deviation of 0.192 ounces. Compute the process capability ratios Cp and Cpk to assess whether the filling process is capable and set properly.While analyzing their annual sales data (liters of wine sold per year) for the past 30 years, a vineyard found that after taking four successive differences, the resulting data had a mean of 2458 liters and looked like a stationary process (e.g. white noise). If the actual data for the past four years were 2018 - 2134 liters, 2017 - 2403 liters, 2016 - 2076 liters, and 2015 - 2290 liters. What would be a reasonable forecast for sales in 2019? Explain.
- A cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.Your cafeteria is serving chicken noodle soup today, which it sources from adistributor and then warms up locally in the kitchen. The soup now sits in a large bowl anda server uses a large ladle to fill the soup into the smaller bowls handed out to the students.Consider the following variables:• Outside temperature.• Duration that the soup was heated before being put in the bowl.• Temperature of the soup in a student’s bowl.• Temperature level to which the soup is warmed up.• Insulation of the bowl used for storing the soup.• Duration that the soup bowl is open when the server inserts the ladle to serve a student.Which of these variables are (a) input variables, (b) output variables, and (c) environmentalvariables?You are a food specialist in a company that specializes inrefrigerated delicacies, and one of your brands requires beingmaintained at a temperature of 5°C. You determine averagewater activity (aw) at this temperature to be 0.2. One day, you are informed that the cooling systems onone of the delivery trucks carrying your company’s productsmalfunctioned while en route to its destination and it would notbe fixed until the next delivery. The driver has informed you thatthe temperature in the delivery bay of the truck is averaging55°C. You estimate a heat of sorption (Q) of 19 kJ/mol. Calculate the water activity of the brand at this elevatedtemperature and comment on it’s integrity. Should the deliverystill push through? Or should the products be recalled anddisposed