The same engineer decides to look into rates of cooling for liquids to experiment with different cooling solutions for servers. She finds that the rate of cooling for one liquid can be modelled by the equation: y = 48 × 0.99t (0 ≤ t ≤ 80) where y is the temperature of the liquid in degrees Celsius and t is the time in minutes. (i) State whether the type of reduction for this model is linear or exponential. Describe how reduction rate differs between linear and exponential functions.  (ii) Calculate the temperature when t = 20. [3] (iii) Write down the scale factor and use this to find the percentage decrease in the temperature per minute.  (iv) Use the method shown in Subsection 5.2 of Unit 13 to find the time at which the temperature is 30◦ (v) Determine the halving time of the temperature.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

 The same engineer decides to look into rates of cooling for liquids to
experiment with different cooling solutions for servers. She finds that
the rate of cooling for one liquid can be modelled by the equation:
y = 48 × 0.99t
(0 ≤ t ≤ 80)
where y is the temperature of the liquid in degrees Celsius and t is the
time in minutes.
(i) State whether the type of reduction for this model is linear or
exponential. Describe how reduction rate differs between linear and
exponential functions. 
(ii) Calculate the temperature when t = 20. [3]
(iii) Write down the scale factor and use this to find the percentage
decrease in the temperature per minute. 
(iv) Use the method shown in Subsection 5.2 of Unit 13 to find the time
at which the temperature is 30◦

(v) Determine the halving time of the temperature.

 

Expert Solution
steps

Step by step

Solved in 6 steps

Blurred answer
Knowledge Booster
Fick’s Law of Diffusion and Mass Transfer
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY