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15. The tooth thickness of a gear is 0.5 in. and its circular pitch 1.0 in. Calculate the dedendum of the gear.


14. An internal gear is set up with a 5 in diameter pinion and center distance of 18 inches. Find the diameter of internal gear.


7. It is generally recommended and normal for a designer to add a hunting tooth to evenly distribute the wear on meshing teeth like a 53 teeth mesh with 30 teeth pinion. Find the rotation of pinion to mesh same pair of teeth again.


13. A pump that operates a head of 30 m is used to deliver 80 liters per second of water at an efficiency of 85%. The pump is driven by a diesel engine by means of chain and sprocket with a service factor of 1.3. If horsepower per strand is 25, find the approximate number of strands needed.


8. Find the standard distance between sprocket having 4 in and 16 in diameters.


7. A chain with speed 800 fpm has driving sprocket turns at 900 rpm. If the pitch of chain is ¾ in, find the number of teeth of driving sprocket.


3. Let L: R₂ → R₂ be the linear transformation defined by L ([u¹, u₂]) = [u1, 0]


a. Is [0, 2] in Ker L?


b. Is [2,2] in Ker L?


C. Is [3,0] in range L?


d. Is [ 3,2] in range L?


e. Find Ker L.


£. Find Range L.


How much energy in KWH is consumed by 600 watt bulb running for 20 hours


Management functions are universal to all organizations; however, they are dependent on the

organizations environment/context in which they are applied and practiced. Show your support to

the statement in line with the first three management functions.


A popular shampoo brand in the market is "Smooth and fragrant hair day" the brand is positioned as a fragrance shampoo, currently a very desirable attribute to both men and women. However, consumer preferences and priorities change over time. If, example, five years from now, consumers give more importance to the ability of shampoo to make their hair and shiny, how should "smooth and fragrant hair all day" reposition itself in the market?
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