For the cone water tank given in the figure, the relation between the flow rate q(t) and the water level h(t) is given as q(t) = 0.005h²(t). q(t) is in [m³/s] and h(t) in [m]. a. When t=0, the valve is closed and the water level is 2 [m]. Find the level of the water after 60 seconds of the valve opening.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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For the cone water tank given in the figure, the relation between the flow rate q(t)
and the water level h(t) is given as q(t) = 0.005h²(t). q(t) is in [m³/s] and h(t)
in [m].
↑
a. When t=0, the valve is closed and the water level is 2 [m]. Find the level
of the water after 60 seconds of the valve opening. ,
b. Find the linearized expression for water flow rate q(t) about initial
3in 1
conditions.
56tghb
Transcribed Image Text:For the cone water tank given in the figure, the relation between the flow rate q(t) and the water level h(t) is given as q(t) = 0.005h²(t). q(t) is in [m³/s] and h(t) in [m]. ↑ a. When t=0, the valve is closed and the water level is 2 [m]. Find the level of the water after 60 seconds of the valve opening. , b. Find the linearized expression for water flow rate q(t) about initial 3in 1 conditions. 56tghb
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