contestada

When a temperature of a pot in a kiln is 1 , 200 ∘ 1,200∘f, an artist turns off the heat and leaves the pot to cool at a controlled rate of 81 ∘ 81∘f per hour. express the temperature of the pot in degrees celsius as a function of the time t t (in hours) since the kiln was turned off?

Respuesta :

Demiurgos
First, we need to convert Fahrenheit to Celsius. We can use following formula:
[tex]T_c=\frac{5\cdot (T_f-32)}{9}[/tex]
When we do the conversion we get: 
[tex]T_0=648.9 ^\circ C[/tex]
[tex]\Delta T=27.2\frac{^\circ C}{h}[/tex]
We know that after t hours temperature will drop by [tex] \Delta T\cdot t[/tex].
With this in mind we can write the equation:
[tex]T(t)=T_0-\Delta T\cdot t=648.9-27.7t[/tex]


Otras preguntas