Moment of inertia is a second-rank tensor relating torque and angular acceleration; therefore the rank is 2nd.
425
176. In the rotational Raman spectrum of HCl the displacements from the exciting line are represented by Δν = ±(62.4 ± 41.6) cm⁻¹. The moment of inertia of the HCl molecule is:
Using the HCl reduced mass and bond length gives a moment of inertia on the order of 10⁻⁴⁰ gm·cm², matching option A.
426
A body having moment of inertia about its axis equal to 3 kg·m^2 is rotating with angular velocity equal to 3 rad/s. Kinetic energy of this rotating body is the same as that of a body of mass 27 kg moving with a speed of
Rotational KE = 1/2 Iω^2 = 0.5×3×3^2 = 13.5 J; set 1/2×27×v^2 =13.5 gives v^2=1 so v=1.0 m/s.
427
The moment of inertia of a body about a given axis is 1.2 kg·m^2. Initially the body is at rest. In order to produce a rotational kinetic energy of 1500 joule, an angular acceleration of 25 rad/s^2 must be applied about that axis for a duration of
Moment of inertia is a rotational property relevant when bodies undergo circular or rotational motion.
429
For the same total mass which of the following will have the largest moment of inertia about an axis passing through the centre of gravity and perpendicular to the plane of the body?
