Question

The concept of mass moment of inertia is significant in the analysis of

• A. Fluid flow
• B. Heat transfer
• C. Rotational dynamics
• D. Electrical circuits

Hint:

Mass Moment of Inertia (I). Represents resistance to angular acceleration (\(\tau = I\alpha\)). Analogous to mass (M) in linear motion (\(F=Ma\)). Crucial for analyzing rotational motion (dynamics).

Answer 1

The Correct Option is C

Mass moment of inertia (often denoted by I) is the rotational analog of mass in linear motion.
It represents a body's resistance to angular acceleration about a given axis.
It depends on the mass of the body and how that mass is distributed relative to the axis of rotation (\(I = \int r^2 dm\)).
The concept is fundamental in rotational dynamics, appearing in the rotational equivalent of Newton's second law (\(\sum \tau = I \alpha\), where \(\tau\) is torque and \(\alpha\) is angular acceleration) and in expressions for rotational kinetic energy (\(K_{rot} = \frac{1}{2} I \omega^2\), where \(\omega\) is angular velocity).
It is not directly used in the analysis of fluid flow, heat transfer, or electrical circuits.