Atoms in a magnet are arranged according to their magnetic poles. Their north and south poles determine how the atoms in the magnet are arranged.
yup they r equal as mentioned above is equal magnitude and direction! so they r totally equal.
as one vector has 2 things which is used to define it ->
- Magnitude
- direction
so if both r equal then both vectors r equal vectors
Answer:
Part A) 3899 kPa
Part B) 392.33 kJ/kg
Part C) 0.523
Part D) 495 kPa
Explanation:
Part A
First from the temperature at state 1 the relative specific volume and the internal energy at that state are determined from:
= 214.07 kJ/kg

= 621.2
The relative specific volume at state 2 is obtained from the compression ratio:

=
=621.2/ 8
= 77.65
From this the temperature and internal energy at state 2 can be determined using interpolation with data from A-17(table):
= 673 K
= 491.2 kJ/kg
The pressure at state 2 can be determined by manipulating the ideal gas relations at state 1 and 2:
= 
= 95*8*673/300
= 1705 kPa
Now from the energy balance for stage 2-3 the internal energy at state 3 can be obtained:

= 1241.2 kJ/kg
From this the temperature and relative specific volume at state 3 can be determined by interpolation with data from A-17(table):
= 1539 K
= 6.588
The pressure at state 3 can be obtained by manipulating the ideal gas relations for state 2 and 3:

= 3899 kPa
<u>Part B</u>
The relative specific volume at state 4 is obtained from the compression ratio:

= 52.7
From this the temperature and internal energy at state 4 can be determined by interpolation with data from A-17:
=775 K
= 571.74 kJ/kg
The net work output is the difference of the heat input and heat rejection where the heat rejection is determined from the decrease in internal energy in stage 4-1:

<u>Part C </u>
The thermal efficiency is obtained from the work and the heat input:
η=
=0.523
<u>Part D </u>
The mean effective pressure is determined from its standard relation:
MEP=
=
=
=495 kPa
To find:
The equation to find the period of oscillation.
Explanation:
The period of oscillation of a pendulum is directly proportional to the square root of the length of the pendulum and inversely proportional to the square root of the acceleration due to gravity.
Thus the period of a pendulum is given by the equation,

Where L is the length of the pendulum and g is the acceleration due to gravity.
On substituting the values of the length of the pendulum and the acceleration due to gravity at the point where the period of the pendulum is being measured, the above equation yields the value of the period of the pendulum.
Final answer:
The period of oscillation of a pendulum can be calculated using the equation,