Answer:
Explanation:
To convert to radians
A31∘43′53′′, 90∘32′11′′, 57∘43′56′′
using DMS approach ; 1degree = 60minutes = 3600 seconds
1° = 60' = 3600"
And degree to radian = multiply by π/180
A) 31∘43′53′′ = 31degree + 43minutes + 53 seconds
= 31 degree + 43minutes + 53/60
= 31 degree + 43.88minutes
= 31 degree + 43.88/60 = 31.73 degree x π/180 = 0.5534radians
FOR 90∘32′11′′ = 90 degree + 32minutes + 11seconds
= 90degree + 32minutes + 11/60
= 90 degree + 32.183minutes
= 90 degree + 32.183/60 = 90.54degree x π/180
= 1.580radians
FOR 57∘43′56′′ = 57degree + 43minutes+ 56seconds
= 57degree + 43minutes + 56/60
= 57 degree + 43.93minutes
= 57degree + 43.93/60 = 57.73degree X π/180
= 1.00radians
PART B
FOR 94∘22′19′′ = 94degree + 22minutes + 19seconds
= 94degree + 22minutes + 19/60
= 94degree + 22.32minutes
= 94degree + 22.32/60
= 94.37degree X π/180 = 1.65radians
FOR 40∘54′53′′ = 40degree + 54minutes + 53seconds
= 40 degree + 54minutes + 53/60
= 40 degree + 54.88minutes = 40 degree + 54.88/60
= 40.91degree X π/180 = 0.714radians
FOR 44∘42′48′′ = 44degree + 42minutes + 48seconds
= 44degree + 42.8minutes
= 44.71degree X π/180 = 0.780radians
Answer:
A.
0.176270π rad, 0.502980π rad, 0.320735π rad
B.
0.524289π rad, 0.227304π rad, 0.248407π rad
Explanation:
We know that,
1° = 60' 180° = π
1 ' = 1°/60 1° = π/180
A.
a. 31°43'53''
Step 1
53'' = 53 * 1/60
= 53'/60
Step 2
43'53''
= 43'+53'/60
= (2580+43)/60
= 2623'/60
-------- Convert to degrees
= 2623/60 * 1/60
= 2623/3600
Step 3
31°43'53''
= 31+ 2623/3600
= (111600 + 2623)/3600
= 114223°/3600
Now, we convert to radians
= 114223/3600 * π/180°
= 0.176270π rad
b.
90°32'11''
Step 1.
11' = 11 * 1/60
= 11/60
Step 2
32'11'
= 32 + 11/60
= 1931/60
-------- Convert to degrees
= 1931/60 * 1/60
= 1931/3600
Step 3
90°31'11''
= 90 + 1931/3600
= 325931°/3600
Now we convert to radians
= 325931°/3600 * π/180°
= 0.502980π rad
c.
57°43'56''
Step 1
56' = 56 * 1/60
= 56/60
= 14/15
Step 2
43'56''
= 43 + 14/15
= 659/15
Now we convert to degrees
= 659/15 * 1/60
= 659°/900
Step 3
57°43'56''
= 57 + 659/900
= 51959/900
Now we convert to radians
= 51959°/900 * π/180°
= 0.320735π rad
B.
a.
94∘22′19′′
Step 1
19'' = 19/60
Step 2
22'19''
= 22 + 19/60
= 1339/60
Now we convert to degrees
= 1339/60 * 1/60
= 1339°/3600
Step 3
94°22'19"
= 94 + 1339/3600
= 339739°/3600
Now we convert to radians
= 339739°/3600 * π/180
= 0.524289π rad
b.
40∘54′53′′
Step 1
53" = 53/60
Step 2
54'53"
= 54'+ 53/60
= 3293/60
Now we convert to degrees
= 3293/60 * 1/60
= 3293/3600
Step 3
40°54'53"
= 40 + 3293/3600
= 147293/3600
Now we convert to radians
= 147293/3600 * π/180
= 0.227304π rad
c.
44∘42′48′
Step 1
48' = 48/69
= 4/5
Step 2
42'48"
= 42 + 4/5
=214/5
Nowz we convert to degrees
= 214/5 * 1/60
= 107/150
Step 3
44°42'48"
= 44 + 107/150
= 6707/150
Now we convert to radians
= 6707/150 * π/180
= 0.248407π rad
Answer:
Given:
operating temperature of heat engine,
Solution:
For a reversible cycle, maximum efficiency, is given by:
Now, on re designing collector, maximum temperature, changes to
, so, the new maximum efficiency,
is given by:
Answer:
Isobaric process
Explanation:
The process in which the system pressure remain constant is called is called isobaric process. The word "iso"means same and baric means pressure.
At constant pressure, the work done is given by :
Where
W is the work done by the system
p is the constant pressure
is the change in volume
So, the correct option is (c) " isobaric process ".
Answer:
The correct answer is C) Trimetric
Explanation:
The most suitable answer is a trimetric projection because, in this type of projection, we see that the projection of the three angles between the axes are not equal. Therefore, to generate a trimetric projection of an object, it is necessary to have three separate scales.
Answer:
mV
Explanation:
The voltage across a capacitor at a time t, is given by:
----------------(i)
Where;
v(t) = voltage at time t
= initial time
C = capacitance of the capacitor
i(t) = current through the capacitor at time t
v(t₀) = voltage at initial time.
From the question:
C = 2μF = 2 x 10⁻⁶F
i(t) = 3 mA
t₀ = 0
v(t₀ = 0) = 0
Substitute these values into equation (i) as follows;
[Solve the integral]
Therefore, the voltage across the capacitor is mV
Answer:
b) 70°C
Explanation:
Given that super heat temperature at 101.325 KPa= 170°C.
We know that saturation temperature at 101.325 KPa is 100°C.
So
Degree of super heat =Super heat temperature - saturation temperature ( at constant pressure)
Now by putting the values
Degree of super heat=170-100
Degree of super heat=70°C.
So our option b is right.
Answer:
exploration
Explanation:
Other than the scientific reasons listed in the question, one of the main reasons why people all over the world are pursuing this endeavor is exploration. As human beings, we love to imagine new worlds and life-forms that we have never seen before. This fuels our need for exploration. Scientists throughout generations have dedicated their entire lives to learning and creating newer and better technology in order for humans to take that next step in exploring and learning the secrets of the universe.