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Hi i have a couple of files with 4 questions about power conversions that i would like to be completed

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Question 1 of 4 3
uestion 1
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ms. At each conversion, less and less power is available due to losses In other words, more power must be provided upstream in order to provide the power required at the
ple hydronic heating system. The efficiencies of each device in the line is in the table below.
Power conversion 1s requi
point of end use Below is a

Assuming there are no efficis
An engineer has calculated that the hydronic power required in the piping system is 308 Watts.
How much mechanical power must be provided to the pump In order to provide the hydronic power at the end point of use.








Device |Efficiency
| a
— -——
Transformer|98 %
—_—
Electric Motor|79 %
Gears|92 %
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Pump|88 %
Ce
Flow Control Voor? Y%
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Answered Same Day Apr 19, 2023

Solution

Aditi answered on Apr 19 2023
41 Votes
Answers
1.
To find the total efficiency of the hydronic loop, we need to multiply the efficiency of each device.
Total efficiency = Efficiency of Transformer x Efficiency of Electric Motor x Efficiency of Gears x Efficiency of Pump x Efficiency of Flow Control Valve x Efficiency of Hydronic Piping
Total efficiency = 0.92 x 0.79 x 0.93 x 0.60 x 0.58 x 0.96
Total efficiency = 0.2329 or 23.29%
Therefore, the total efficiency at which water will be circulated in the hydronic loop is approximately 23.29%.
2.
To calculate the efficiency of the transformer, we need to use the formula:
Efficiency = (Transformer Output Power / Electric Meter Output Power) x 100%
Efficiency = (904 W / 994 W) x 100%
Efficiency = 0.9107 x 100%
Efficiency = 91.07%
Therefore, the efficiency of the transformer is approximately 91.07%.
3.
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