Temperature Decrease: 4min to 32°F

Johny 5
Messages
35
Reaction score
0

Homework Statement


A container of hot liquid is 180 degrees F. After 4 minutes, the liquid's temperature is 64 degrees F. How much longer will take its temperature to decrease to 32 degrees F? round to three decimal places


Homework Equations





The Attempt at a Solution


I have no clue where to start with this problem...
 
Physics news on Phys.org
Since you are given two data points: (0, 180) and (4, 64), I suspect you are intended to try a linear model. Find A and B such that T = At+ B (T is the temperature in degrees, t is the time in minutes) is satisfied by t=0, T= 180 and t= 4, T= 64. Then set T= 32 and solve for t.
 
HallsofIvy said:
Since you are given two data points: (0, 180) and (4, 64), I suspect you are intended to try a linear model. Find A and B such that T = At+ B (T is the temperature in degrees, t is the time in minutes) is satisfied by t=0, T= 180 and t= 4, T= 64. Then set T= 32 and solve for t.

umm I'm still confused...
 
Johny 5 said:

Homework Statement


A container of hot liquid is placed in a freezer that is kept at a constant temperature of 15 degrese F. the initial temperature of the liquid is 180 degrees F. After 4 minutes, the liquid's temperature is 64 degrees F. How much longer will take its temperature to decrease to 32 degrees F? round to three decimal places


Homework Equations





The Attempt at a Solution


I have no clue where to start with this problem...

i didn't write the whole problem sorry...
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

What was the temperature of the object?
Replies
4
Views
2K
Need Help Solving Set of Coupled ODEs
Replies
1
Views
1K
Increasing and decreasing functions
Replies
2
Views
2K
Calculating Outside Temperature Using Exponential Decay Model
Replies
2
Views
3K
Solving a Sequencing Problem: Allocating Cost Savings
Replies
1
Views
1K
Dynamic Simulation After Feed Flow Reduction
Replies
2
Views
2K
Circular plate temperature distribution.
Replies
10
Views
2K
Decreasing Temperature at Point (3,1) Using Gradient Vector - Homework Problem
Replies
10
Views
2K
Finding velocity with constant, incre., decrea, varying acce
Replies
1
Views
1K
What is the Fahrenheit equivalent of 62.0 °C?
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top