​​​​​International Journal of Modern Science and Technology, Vol. 2, No. 5, 2017, Pages 188-192.

​ 

​Determination of Mass Moment of Inertia with Experimental Validation Using Principle of Conservation of Energy 

K. K. Dinesh, S. Jayakumar, K. M. Abubacker, V. Suresh babu
Department of Mechanical and Industrial Engineering, Caledonian College of Engineering, Muscat, Sultanate of Oman.                       

​​*Corresponding author’s e-mail: dineshkk36@yahoo.co.in

​Abstract
The moment of inertia of a body is a measure of how hard it is to get it rotating about some axis. Many physical objects require determination of mass moment of inertia for identifying and analyzing their practical implications during dynamic working conditions that are faced in real time applications.  The moment of inertia of an object around a given axis determines the relationship between the applied mechanical torque and the angular acceleration produced.  Mass moment of inertia measures the extent to which an object resists rotational acceleration about an axis.  Present work aims in determining the mass moment of inertia by using principle of conservation of energy.  Hitherto, there are well determined fundamental equations for geometrically simple objects that are easily interpreted mathematically.  However, it is noticed that there is difficulty to mathematically express it for complex shaped bodies.  Current work addresses a comparative study between a solid and circular ring with a unique mass of 2.9 kg with the thickness of 10mm.  A typical dimension of 120 mm diameter was considered for solid disc and similarly, 130 mm outer diameter and 102 mm inner diameter for the circular ring.  An experimental setup was initially modeled with Pro/E CREO software and later a test rig was fabricated to cater the objective.  A series of experiments were conducted for the determination of Mass Moment of Inertia for both solid and circular ring specimen.   A comparative study was conducted and the outcomes were tabulated and analyzed.  It was noticed that the mass moment of inertia determined through the proposed experimental procedure on the specimens were within the error limit of 5%.   It is further concluded that the procedure devised can be well utilized for determination of irregular objects that are used in real time applications.

​​Keywords: Mass moment of Inertia; Acceleration; Solid and Circular ring; Conservation of energy.

​References

  1. Beer FP, Johnson ER. Mechanics for Engineers–Statics, 4th edition. McGraw-Hill; 2003.
  2. Meriam JL, John C.  Engineering Mechanics statics and dynamics.  Willey and Son’s; 1996.
  3. Timoshenko SP, Young DH. Engineering Mechanics, McGraw-Hill; 2008
  4. Keelen S. Garza. Moment of Inertia and Rotational Energy. International Journal of Scientific and Engineering Research. 2014; 5(7):1557-1563.
  5. Garza KS. The Theory of Relativity. International Journal of Advance Research. 2015;3(5):1-5.
  6. Colorado University. Moment of Inertia. Physics. Experiment number: 4, 2010. http://www.colorado.edu/physics/phys2010/phys2010LabMan2000/2010labhtml/Lab4/EXP4LAB99.html.
  7. Marasco D. Moments of Inertia and (non) Conservation of Energy. Foothill College. http://www.foothill.edu/~marasco/4alabs/4alab8.html.
  8. Maxwell’s wheel. Rotational motions of a rigid body Conservation of energy. https://www.ld-didactic.de/literatur/hb/e/p1/p1461_e.pdf.
  9. Virtual Amrita Laboratories universalizing Education. Moment of Inertia of a Flywheel. http://vlab.amrita.edu/?sub=1&brch=74&sim=571&cnt=1.
  10. Our Blog Education, Moment of Inertia of a Flywheel by falling weight method. https://blog.oureducation.in/moment-of-inertia-of-a-flywheel-by-falling-weight-method/.

ISSN 2456-0235

International Journal of Modern Science and Technology

INDEXED IN