Figure 7.18 shows a liquid-level system in which two tanks have cross-sectional areas A1 and A2, respectively. The volume flow rate into tank 1 is qi. A pump is connected to the bottom….
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We never disappoint our customers. Find the temperature of the sphere at any time, as well as its steady-state value.
1. Consider a first-order system with time constant τ and zero initial condition. Find the system’s unit-step response for τ = and , plot the two curves versus 0 ≤ t ≤ 2 in the same graph, and comment.
2. The temperature of a steel sphere with initial temperature T0 submerged in water
with temperature Ti is governed by the initial-value problem RC + T = Ti , T(0) = T0
where:
R is the thermal resistance due to convection
C is the thermal capacitance of the sphere
Find the temperature of the sphere at any time, as well as its steady-state value.
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