Rotational moment of inertia in Kg*m^2

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SUMMARY

The discussion focuses on estimating the total rotational moment of inertia in Kg*m^2 for all motors and generators in the Eastern United States. The participant calculated the total generation capacity as 2.1673e11 KWh, which converts to 7.80228e14 Joules. However, the conversion to rotational moment of inertia requires assumptions about generator sizes and extrapolation of polar moments of inertia. Additionally, the discussion emphasizes the importance of using correct unit capitalization, such as kg for kilograms and kW for kilowatts.

PREREQUISITES
  • Understanding of rotational moment of inertia concepts
  • Familiarity with energy conversion (KWh to Joules)
  • Knowledge of polar moments of inertia
  • Basic proficiency in unit conversion and notation
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  • Research methods for estimating polar moments of inertia for various generator sizes
  • Learn about the relationship between energy generation and mechanical properties
  • Study the principles of rotational dynamics and moment of inertia calculations
  • Explore resources on proper unit notation and conversion standards
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Students in physics or engineering, mechanical engineers, and anyone involved in energy generation and rotational dynamics calculations will benefit from this discussion.

gesk0015
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Homework Statement


Estimate the total rotational moment of inertia in Kg*m^2, of all the motors and generators in the Eastern United States.


Homework Equations



No other information was provided.

The Attempt at a Solution



First off I went to the following website to estimate the generation capacity of the Eastern U.S.

http://www.eia.doe.gov/cneaf/electricity/epm/table1_6_a.html

I came up with a total of 2.1673e8 MWh for the Eastern U.S.
=2.1673e11 KWh

I know that 1 KW=3600 Joules.

so from this I get a total of 7.80228e14 Joules

From here I am at a loss at how to convert this to rotational moment of Inertia( Kg*m^2)
 
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Moment of inertia is a geometrical property, and is not related to performance. You will have to do some assumptions about the size of the generators and extrapolate polar moments of inertia from that assumption. Good luck.
 
gesk0015: You must list relevant equations yourself. We are not allowed to list the relevant equations for you.

By the way, you misspelled several units. E.g., K means kelvin; k means kilo. Always use correct capitalization of units. See NIST[/color] for the correct spelling of any unit symbol. Here is the correct spelling of all the units you misspelled: kg, kW, kW*h, MW*h, joule. You also have an incorrect conversion listed.
 

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