Create a mathematical model of the time-dependent volume

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a) If all quantities are expressed in SI units, find the value of Φ in

b) Create a mathematical model of the time-dependent volume of water in the container V(t) in terms of the height of water h(t).

c) Find an expression for the time τ that it takes for the container to empty. Check the validity of your expression by calculating τ for a = 1 cm and ho = 30 cm and plotting h(t) from 0 < t < τ.

d) Express h(t) in terms of T, then find an expression for h(t) = dh/dt.

e) Find the volumetric flow rate V(t) = dV/dt [m³S^-1] at which water leaves the container. Discuss how the design parameters θ, ho and a affect the outflow in this container.

Attachment:- MATH_1q1.rar

Reference no: EM132690231

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len2690231

11/7/2020 4:51:51 AM

Matlab will be needed for some questions and they are modelling maths questions so full working along with reasons need to be given for each question

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