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Academics – Mathematics : 2022/OCT/05

Question

Q5. The quantity, Q (m³/s), of water discharged through an orifice under different pressure heads.

H(m), are recorded in Table QS.

(a) Draw a straight line graph to verify that the relationship between Hand Q is a law of the: form Q = aHⁿ, where a and n are constants.

H	3.5	3.0	2.5	2.0	1.5	1.0	0.5
Q	11.00	10.24	9.41	8.48	7.42	6.14	4.45

Table Q5

Suggested scales will landscape orientation:

Horizontal axis 2 cm = 0. I

vertical axis 2 cm = 0. I

(b) Use the graph plo11ed in Q5(a) to estimate the value of a and n.

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