Academics – Mathematics : 2023/OCT/05
Question
Q5. The working load limit, WLL, for chains of the same grade, and a range of diameters, are given in Table Q5.
(a) Draw a straight-line graph to verify that the working load limits, W kg, and the chain diameters, d mm, are related by a law of the form W = ad2+b where a and b are constants. (10)
Diameter d mm) | 5 | 10 | 15 | 20 | 25 |
WLL W(kg) | 200 | 425 | 800 | 1325 | 2000 |
Table Q5
Suggested scales: horizontal axis 2 cm = 100
vertical axis 2 cm = 200
(b) Use the graph drawn in Q5(a) to determine the values of a and b. (6)
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