Numerade

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For the given magnetic circuit N₁ = 1000, turns, l₁ = 16 cm, A₁ = 4 cm2, N2 = 500 turns, 12 = 22 cm, A2 = 4 cm2, 13 = 5 cm, and A3 - 2 cm2. The relative permeability of the material is µ₁ = 1500. a. Construct the equivalent magnetic circuit and find the reluctance associated with each part of the circuit. b. Find the flux & if I₁= 5 A and 12 = 12 A i, 12 11, A1 12, A2 N, 13, A3 N2

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The air-track carts in (Figure 1) are sliding to the right at 1.0 m/s. The spring between them has a spring constant of 150 N/m and is compressed 4.1 cm. The carts slide past a flame that burns through the string holding them together. What is the speed of 300-g cart? Express your answer with the appropriate units. $v_2 = 4.78 \frac{m}{s}$ Incorrect; Try Again; 4 attempts remaining

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Label the parts of the neuron. Histology of Nervous Tissue. Examine slides of nervous tissue from different parts if the nervous system.

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Achieving optimal cutting speed involves two objectives, one of which is the maximization of the production rate. For maximum production rate, the speed that minimizes machining time per workpiece is determined. Also, minimizing cutting time per unit is equivalent to maximizing production rate. Regarding turning operation, three elements contribute to the total production cycle time, $T_c$ for a part. These are part handling time, $T_h$, machining time, $T_m$ and tool change time, $T_t$. These can be mathematically expressed as $T_c = T_h + T_m + \frac{T_t}{n_p}$ If the cycle time per piece is minimum at a certain cutting speed such that $\frac{dT_c}{dv} = 0$, show that $T_{max} = (n-1-1)T_t$. Note: All the steps must be clearly shown. Question 2 Apart from the removal of heat and reduction of friction from the tool-chips interface, cutting fluids provide additional benefits, such as flushing away chips (especially in grinding and milling), reducing the temperature of the workpart for easier handling, reducing cutting forces and power requirements, improving dimensional stability of the workpart, and improving surface finish. Cutting fluid also increases the value of C in the Taylor tool life equation. In a certain machining situation using HSS tooling, the C value was increased from C = 1.016 to C =1.143 as a result of the application of the cutting fluid. The n value is the same with or without fluid at n = 0.125. Cutting speed used in the operation is v =0.635m/s. Feed = 0.254 mm/rev and depth =2.54mm. The effect of the cutting fluid can be to either increase cutting speed (at the same tool life) or increase tool life (at the same cutting speed). (a) What is the cutting speed that would result from using the cutting fluid if tool life remains the same as when no cutting fluid was applied? (b)What will be the tool life if the cutting speed remained at 0.635m/s? (c) Economically, which effect is better, given that tooling cost = R34 per cutting edge, tool change time is 2.5 min, and operator and machine rate is R522/hr? Justify your answer with calculations, using cost per m³ of metal machined as the criterion of comparison. Ignore the effects of workpart handling time.

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If $ \theta $ is the angle between a line through the origin and the positive $ x $-axis then the area $ \left(\mathrm{cm}^{2}\right) $ of part of a rose petal (a particular curve written in polar coordinates) is given by $ A=\frac{9}{16}(4 \theta-\sin (4 \theta)) $. If the angle $ \theta $ is increasing at a rate of $ \frac{7}{10} $ radians per minute, at what rate is the area changing when $ \theta $ is $ \frac{\pi}{3} $ radians? Glve an exact answer. $ \square $ - -units-- $ \square $

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1.3 Feynman Diagrams • What are Feynman diagrams and what role do they play in quantum field theory? • Draw and explain the lowest-order Feynman diagrams for the scattering process in Quantum Electrodynamics (QED).

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The disphotic zone is where you have? Ovision and photosynthesis Ophotosynthesis but not vision Ovision but not photosynthesis no sunlight at all

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An electric dipole of dipole moment $\vec{P} = 2qa\hat{i}$ is placed in an electric field given by $\vec{E} = E_0 x\hat{i}$. Which of the followings is the magnitude of the force acting on dipole? $E_0 = 2.0 \times 10^3 \left(\frac{N}{C\cdot m}\right)$, $|q| = 2.0 \times 10^{-6} (C)$, $a = 0.5\ (cm)$ a) $20\mu N$ b) $40\mu N$ c) 0 d) $30\mu N$ e) $10\mu N$

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3. (15 marks) In the given array of (7, 3, 10, 2, 6, 4, 12, 8), use the following sorting methods to sort the array elements. How many steps will be used to sort the array? Show your work. Compare your results and write your analysis. 1. The merge sort 2. The bubble sort 3. The insertion sort

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d. Direct materials used in production: In the manufacture of batting helmets: Plastic 1.2 lbs. per unit of product Foam lining 0.5 lbs. per unit of product In the manufacture of football helmets: Plastic 3.5 lbs. per unit of product Foam lining 1.5 lbs. per unit of product Anticipated cost of purchases and beginning and ending inventory of direct materials: Plastic $6.5 per lb. Foam lining $4.5 per lb. Direct labor requirements: Batting helmet: Molding Department 0.3 hr. at $20 per hr. Assembly Department 0.6 hr. at $14 per hr. Football helmet: Molding Department 0.6 hr. at $20 per hr. Assembly Department 1.7 hrs. at $14 per hr. g. Estimated factory overhead costs for March: Indirect factory wages $87,000 Depreciation of plant and equipment $11,000 Power and light $5,000 Insurance and property tax h. Estimated operating expenses for March: $185,300 Sales salaries expense $86,200 Advertising expense $34,400 Office salaries expense $5,800 Depreciation expense-office equipment $3,800 Telephone expense-selling $1,300 Telephone expense-administrative $10,000 Travel expense-selling $1,200 Office supplies expense $1,100 Miscellaneous administrative expense Estimated other income and expense for March: $950 Interest revenue $882 Interest expense Estimated tax rate: 30% Note: The above information was adapted from the 1st edition of Warren Reeve and Duchac.

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sean h.