Answer:
(A) Fourier Analysis
Explanation:
Fourier Analysis
It is the form of study of the way a general functions can be represented via the sum of the simple trigonometric functions .
It is named after Joseph Fourier , who represented a function as a sum of its trigonometric functions and it simplifies the study of the heat transfer .
Hence ,
The technique for resolving the complex repetitive waveforms into the sine or the cosine waves and the DC component is known as the Fourier Analysis .
Answer:
3.
Explanation:
We start calcualting the factor for heavy-vehicle, that is,

for rolling terrain, so, replacing,


We calculate the number of lanes by using the relation as follow:



In this way the necessary number of lanes is 3.
Note: To calculate
you need to consult the Exhibit 23-2
in 'Highway capacity Manual' for 55mph and the LOS D criteria.
Answer:
D. N= 11. 22 rad/s (CW)
Explanation:
Given that
Form factor R = 8
Speed of sun gear = 5 rad/s (CW)
Speed of ring gear = 12 rad/s (CW)
Lets take speed of carrier gear is N
From Algebraic method ,the relationship between speed and form factor given as follows

here negative sign means that ring and sun gear rotates in opposite direction
Lets take CW as positive and ACW as negative.
Now by putting the values


N= 11. 22 rad/s (CW)
So the speed of carrier gear is 11.22 rad/s clockwise.
Answer:
b). False
Explanation:
Lumped body analysis :
Lumped body analysis states that some bodies during heat transfer process remains uniform at all times. The temperature of these bodies is a function of temperature only. Therefor the heat transfer analysis based on such idea is called lumped body analysis.
Biot number is a dimensionless number which governs the heat transfer rate for a lumped body. Biot number is defined as the ratio of the convection transfer at the surface of the body to the conduction inside the body. the temperature difference will be uniform only when the Biot number is nearly equal to zero.
The lumped body analysis assumes that there exists a uniform temperature distribution within the body. This means that the conduction heat resistance should be zero. Thus the lumped body analysis is exact when biot number is zero.
In general it is assume that for a lumped body analysis, Biot number
0.1
Therefore, the smaller the Biot number, the more exact is the lumped system analysis.