please help to solve it

Question

An object with initial temperature 170∘F is submerged in large tank of water whose temperature is 60∘F. Find a formula for F(t), the temperature of the object after t minutes, if the cooling constant is k=1.6

F(t)= ?

Thank you so much !

Answer 1

Newton's Cooling formula:

T(t) = Ts + (T0 - Ts ) e(-kt)

T(t) is the temperature of the object at time t

Ts is the surrounding temperature

T0 is the initial temperature

k is the cooling constant

BUT....

the temperature are supposed to be in Kelvin

K = (°F − 32) × 5/9 + 273.15

so Ts = (60-32) * 5/9 + 273.15 = 288.705555...

T0 = (170-32)*5/9 + 273.15 = 349.81666...

T(t) = Ts + (T0 - Ts ) e(-1.6t)