Analogies exist between rotational and translational

Q:Analogies exist between rotational and translational physical quantities. Identify the rotational term analogous to each of the following: acceleration, force, mass, work, translational kinetic energy, linear momentum, impulse.

                                                              Step By Step Solution

Step 1 of 2

(1) Acceleration : The analogue for linear acceleration  in rotational motion is the angular acceleration . The S.I unit of linear acceleration is  whereas the S.I unit of angular acceleration is .

(2) Force : Force is the product of mass and the linear acceleration. Torque  is the analogue for force in rotational motion. Torque is the product of moment of inertia and angular acceleration. The S.I unit of Force is Newton, whereas the S.I unit of torque is Newton-meter.  

(3) Mass : In rotational moment of inertia  is the analogue to the mass in linear motion. The moment of inertia is the product of mass of the system of rotating particle and square of the perpendicular distance of particle from rotational axis. Mathematically . The S.I unit of mass is  and the S.I unit of moment of inertia is .