An ideal gas Carnot cycle with air in a piston cylinder has a high temperature of 1200 K and a heat rejection at 400 K. During t
he heat addition the volume triples. Find the two specific heat transfers (q) in the cycle and the overall cycle efficiency. Solution:
1 answer:
Answer:
The specific heat capacity is q_{L}=126.12kJ/kg
The efficiency of the temperature is n_{TH}=0.67
Explanation:
The p-v diagram illustration is in the attachment
T_{H} means high temperature
T_{L} means low temperature
The energy equation :
= R*
in(
/
)
The specific heat capacity:
=q_{h}*(T_{L}/T_{H})
q_{L}=378.36 * (400/1200)
q_{L}=378.36 * 0.333
q_{L}=126.12kJ/kg
The efficiency of the temperature will be:
=1 - (
/
)
n_{TH}=1-(400/1200)
n_{TH}=1-0.333
n_{TH}=0.67
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Answer:
The average angular acceleration is 0.05 radians per square second.
Explanation:
Let suppose that Ferris wheel accelerates at constant rate, the angular acceleration as a function of change in angular position and the squared final and initial angular velocities can be clear from the following expression:
Where:
,
- Initial and final angular velocities, measured in radians per second.
- Angular acceleration, measured in radians per square second.
,
- Initial and final angular position, measured in radians.
Then,
Given that ,
and
, the angular acceleration is:
Now, the time needed to accelerate the Ferris wheel uniformly is described by this kinematic equation:
Where is the time measured in seconds.
The time is cleared and obtain after replacing every value:
If ,
and
, the required time is:
Average angular acceleration is obtained by dividing the difference between final and initial angular velocities by the time found in the previous step. That is:
If ,
and
, the average angular acceleration is:
The average angular acceleration is 0.05 radians per square second.