An 8 pole, 50 Hz, 3 phase induction motor has a full load slip of 2.5% & maximum torque of twice full load torque. At what value of slip does the maximum torque occur?
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- Two masses are connected to a string and hung on a pulley to make an atwood machine. The masses are different values such as M > m. The setup is shown. Assume the string is massless and the pulley is ideal. When the masses are gently released, there is a resulting acceleration. Which of the following equations will calculate the mass of m in the system if the big mass and acceleration are known? A) m = 2M(a/g). B) = m 2M(g/a). C) m = M(g- a/g+a). D) m = M(g+a/g -a).One kg of water within a piston-cylinder assembly executes a Carnot power cycle. During isothermal expansion, the water is heated from a saturated liquid at 50 bar until is a saturated vapor. The vapor then expands adiabatically to a pressure of 5 bar and a quality of 0.8291. a) Sketch the cycle on P-v and T-s diagram. b) Evaluate the heat transfer and wor for the above processes (isothermal expansion and adiabatic expansion) c) Evaluate the thermal efficiency.If electric power costs P1.00 per kWh, which pump is more economical to use? Recall that 1hp=0.746 kW.
- Using the high-low method, the variable rate is calculated to be $3.00 per machine hour: (S27,950 – $25,160)/(5,430 - 4,500) = $3.00. Using the high-low method, the fixed cost of electricity is calculated to be $11,660: $27,950 - (S3.00 × 5,430) = %3D S11,660. Using this information, construct a Cost Equation for electricity. Explain each element of the equation. Using this equation, estimate the total electricity cost for December, given that the estimated number of machine hours in December will be 5,300. 9. Pate Company is evaluating a project requiring an initial capital expenditure of $806,250. The project has an estimated life of 4 years and no salvage value. The yearly estimated net income and net cash flow from the project is as follows Year Net Cash Flow/Income 0. (806,250) 575,00 502,000 3 409,500 350,500 The company's minimum desired rate of return (cost of capital) is 12% REQUIRED: Calculate the following: (A) Payback Period; (B) Accounting Rate of Return; (C) Present Value…Calculate each company's degree of operating leverage. (Round answers to 2 decimal places, e.g. 1.15.) Traditional Yams Auto-Yams Degree of Operating LeverageA steel rod 20 mm in diameter and 120 mm long is joined to the end of a copper rod 20 mm in diameter and 80 mm long, thus forming a composite rod of 200 mm in length. If the ends of the composite rod are now clamped, calculate the stress set up in the steel and copper due to a temperature increase.
- Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function: S = 20 L0.30 C 0.70 In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs $50, and each unit of capital costs $100. (a) Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 50,000 tons of steel at minimum cost. If your answer is zero, enter “0”. Min L + C s.t. L0.30 C 0.70 L, C (b) Solve the optimization problem you formulated in part a. Hint: When using Excel Solver, start with an initial L > 0 and C > 0. Do not round intermediate calculations. Round your answers to the nearest whole number. L = C = Cost = $Suppose a ceiling fan manufacturer has the total cost function C(x) = 35x + 1200 and the total revenue function R(x) = 65x. (a) What is the equation of the profit function P(x) for this commodity? P(x) = (b) What is the profit on 20 units? P(20) = Interpret your result. The total costs are less than the revenue. The total costs are more than the revenue. The total costs are exactly the same as the revenue. (c) How many fans must be sold to avoid losing money? fansSuppose the wage rate is $10 and the rental rate on capital is $20. Consider the total cost line associated with a total cost of $200. The intercept of this line on the Y-axis (capital axis) is _______ and its slope is_____. A. 10, -1/2 B. 20, -1/2 C. 10, -2 D. 20, -2
- At -8.64 °C the concentration equilibrium constant K = 7.7 for a certain reaction. Here are some facts about the reaction: -1 • The initial rate of the reaction is 5.3 mol·L¯¹·s¯¹. . If the reaction is run at constant pressure, 132. kJ/mol of heat are absorbed. • The constant pressure molar heat capacity C = 2.97 J'mol K¹. Yes. Using these facts, can you calculate K at 16. °C? x10 O No. If you said yes, then enter your answer at right. Round it to 2 significant digits. If you said no, can you at least decide whether Kat 16. °C will be bigger or smaller than K at -8.64 °C? C Yes, and K will be bigger. Yes, and K will be smaller. No.Calculate the Tracking Signal(RSFE/MAD t) given the following data and an alpha=0.4.MAD t-1=15: Period Actual Demand Forecast Demand Error ................... RSFE MAD t TS 0 Start up Start Up Start Up 15 1 30 45 2 43 3 38 4 37 5 40Using the high-low method, how much is the electricity costs if the actual machine hours used is 2,800?