In a manufacturing plant, aisi 1010 carbon steel strips (ρ = 7832 kg/m3) that are 2 mm thick and 3 cm wide are conveyed into a chamber at a constant speed to be cooled from 527ºc to 127°c. determine the speed of a steel strip being conveyed inside the chamber, if the rate of heat being removed from a steel strip inside the chamber is 119 kw.

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aristocles aristocles · Answer 1 · 2018-10-03T01:16:38+02:00

Here given that

density of carbon steel is = 7832 kg/m^3

thickness = 2 mm = 0.002 m

width = 3 cm = 0.03 m

now the mass is given as

[tex]m = \rho * w* t * L[/tex]]

[tex]m = 7832*0.002 * 0.03 * L[/tex]

[tex]m = 0.47*L[/tex]

now we will use the formula of heat

[tex]Q = m s \delta T[/tex]

now plug in all values

[tex]Q = 0.47* L * s* (527 - 127)[/tex]

here s = specific heat capacity of carbon steel

s = 502.4 J/Kg C

[tex]Q = 0.47*L * 502.4 * 400[/tex]

[tex]Q = 94435.1*L[/tex]

now if we find the rate of heat flow

[tex]\frac{dQ}{dt} = 94435.1 * \frac{dL}{dt}[/tex]

[tex]119 * 10^3 = 94435.1 * v[/tex]

[tex]v = 1.26 m/s[/tex]

so its speed is 1.26 m/s