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
Answer:
Mass=0.143 kg
Explanation:
From the Newton's second law of motion the force applied to an object is directly proportional to the acceleration produced and the acceleration is in the direction of the force.
F=ma where F is the force, m is the mass of the object and a i the acceleration.
m=F/a
=4.719N/33 m/s²
=0.143 kg
Answer:
The system is still balanced
Explanation:
If we suppose that the boy weights M and the girl m, and are balanced at distances L1 and L2 from the pivot point respectively, thy will be balanced if the resultant torque of all the farces from the pivot pint is cero:
(1)
now they moved to distances (L1)/2 and (L2)/2, the resultant torque will be:
(2)
1/2 can be taken out as a common factor:
(3)
As the the inside of the parenthesis equals equation (1) that equals zero, hte whole equiation equals zero:
(3)
So the system is still balanced
The diameter of the football player's piston is 0.55 m
Given that the mass of the cheerleader(m) is 55 kg, mass of football player to be hold (M) is 130 kg, height of the players (h) is 1.30 m, radius of the piston corresponding to the diameter (r) is 0.09 m, Diameter of football player's piston (R), P1 is Pressure on the cheerleader's side, P2 is Pressure on the football player's side
Using Pascal's law,
This law states that if there is a change at a point of a body immersed in a fluid then that change will spread thoroughly to each and every point of the body.
The formula of hydraulic system is,
P1= P2
F1/A1 = F2/A2
mg/πr^2 = 4Mg/πR^2
m/r^2=4M/R^2
R^2=4M×r^2/m
By plugging the values, we get.,
R^2=(4×130×0.09^2)/55
R^2=4.21/55=0.076
R=√0.076 = 0.275 m
Hence, diameter of football player's piston is 0.55 m
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