Answer:
Hence, the three effects of electric current are heating effect, magnetic effect and chemical effect.
Answer:
Given data
electronic system dissipating = 90 W
diameter = 15 cm
The components in the duct are cooled by forced air which enters at 32°C at a rate of 0.65 m3 /min
the duct and the remaining = 15 %
See pictures for solution.
Explanation:
See attached pictures for detailed explanation.
Answer:
Explanation:
System models are created and used in order for all of the individuals involved in the process to be able to see exactly how each module that is being created connects to the rest of the system. This allows every developer to understand each module's/part's function and develop it with the entire system in mind. This also makes it easier to implement newer features. If a model is not made then the developers may miss key features and when it is time to piece all of the components of the system together, the overall process can become a jumbled mess.
Answer:
The smallest wire diameter that can be used is 1 cm
Explanation:
First, we find the smallest diameter using the criterion of maximum normal stress:
Max. Stress = 150 x 10^6 Pa = F/A
150 x 10^6 Pa = 12000 N/(πd²/4)
d² = (12000 N)(4)/(150 x 10^6 Pa)(π)
d = √1.0185 x 10^-4 m²
d = 0.010 m = 1 cm
Now, we find the smallest diameter using the criterion of maximum strain:
Max. Strain = Max. Change in Length/Original Length = 0.025 m/50 m
Max. Strain = 5 x 10^-4 mm/mm
Now,
Max. Strain = Stress/E = (F/A)/E = F/AE
using values:
5 x 10^-4 mm/mm = (12000 N)/(200 x 10^9 Pa)(πd²/4)
d =√(12000 N)(4)/(5 x 0^-4)(200 x 10^9 Pa)(π)
d = 0.012 m = 1.2 cm
Now, by comparison in both cases it can be noted that the smallest value of the diameter is <u>1 cm</u>, which is limited by maximum stress.
Answer:
and 
Explanation:
Given

Represent the height as h, the length as l and the width as w.
From the question:


Volume of a box is calculated as:

This gives:


Substitute 9 for V

Make h the subject:

The surface area is calculated as:

Recall that: 




Recall that: 
So:





To minimize the surface area, we have to differentiate with respect to w

Set A' to 0

Add
to both sides

Multiply both sides by 


Make
the subject

Solve for w
![w = \sqrt[3]{\frac{27}{8}}](https://tex.z-dn.net/?f=w%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B27%7D%7B8%7D%7D)

Recall that :
and 









Hence, the dimension that minimizes the surface area is:
and 