Explanation:
Temperature range → 0 to 80'c
respective voltage output → 0.2v to 0.5v
required temperature range 20'c to 40'c
Where T = 20'c respective voltage


Therefore, Sensor output changes from 0.275v to 0.35volts for the ADC the required i/p should cover the dynamic range of ADC (ie - 0v to 3v)
so we have to design a circuit which transfers input voltage 0.275volts - 0.35v to 0 - 3v
Therefore, the formula for the circuit will be

The simplest circuit will be a op-amp
NOTE: Refer the figure attached
Vs is sensor output
Vr is the reference volt, Vr = 0.275v

choose R2, R1 such that it will maintain required ratio
The output Vo can be connected to voltage buffer if you required better isolation.
Answer:
Part 1: The diameter of the shaft so that the shear stress is not more than 150 MPa is 17.3 mm.
Part 2: The diameter of the shaft so that the twist angle is not more than 7° is 16.9 mm.
Explanation:
Part 1
The formula is given as

Here T is the torque which is given as 155 Nm
J is the rotational inertia which is given as 
τ is the shear stress which is given as 150 MPa
R is the radius which is given as d/2 so the equation becomes

So the diameter of the shaft so that the shear stress is not more than 150 MPa is 17.3 mm.
Part 2
The formula is given as

Here T is the torque which is given as 155 Nm
J is the rotational inertia which is given as 
G is the torsional modulus which is given as 114 GPa
L is the length which is given as 720 mm=0.720m
θ is the twist angle which is given as 7° this is converted to radian as

so the equation becomes

So the diameter of the shaft so that the twist angle is not more than 7° is 16.9 mm.
Weaken the hall before it hit the iceberg
As much as the human and physical capital in economy increases, there is a decrease in the marginal gain in economic growth that will diminish.
<u>Explanation:</u>
Low-income countries might have an advantage achieving greater worker productivity and economic growth in the future as their economic growth is faster than the high - income countries.
As much as the human and physical capital in economy increases, there is a decrease in the marginal gain in economic growth that will diminish. And this is called, the laws of diminishing returns.
Secondly, low - income countries find it easier in developing technologies than the high - income technologies especially countries like India and China.
High - income countries put effort in inventing new technologies, whereas low - income countries just improve and improvise their technology.
Answer: 33.35 minutes
Explanation:
A(t) = A(o) *(.5)^[t/(t1/2)]....equ1
Where
A(t) = geiger count after time t = 100
A(o) = initial geiger count = 400
(t1/2) = the half life of decay
t = time between geiger count = 66.7 minutes
Sub into equ 1
100=400(.5)^[66.7/(t1/2)
Equ becomes
.25= (.5)^[66.7/(t1/2)]
Take log of both sides
Log 0.25 = [66.7/(t1/2)] * log 0.5
66.7/(t1/2) = 2
(t1/2) = (66.7/2 ) = 33.35 minutes