Question

Um turista ao desembarcar no aeroporto de Nova Iorque observou que a temperatura local era de 82,4 °F. Qual o valor correspondente na escala Celsius?

Answer 1

$\mathrm{Rela\c{c}\tilde{a}o\ entre\ as\ temperaturas\ das\ escalas\ Celsius,\ Fahrenheit\ e\ Kelvin}\text{:}$

$\boxed{\dfrac{T_C}{5}=\dfrac{T_F-32}{9}=\dfrac{T_K-273}{5}}$

$\mathrm{Desse\ modo}\text{:}$

$\boxed{T_C=\dfrac{5}{9}\left(T_F-32\right)}$

$\mathrm{Para}\ T_F=82.4\mathrm{^{\circ}F,\ a\ temperatura\ na\ escala\ Celsius\ ser\acute{a}}\text{:}$

$T_C=\dfrac{5}{9}(82.4-32)=\dfrac{5}{9}(50.4)=5(5.6)\Longrightarrow \boxed{T_C=28\mathrm{^{\circ}C}}$