Question

Dentify the rotational term analogous to each of the following: acceleration, force, mass, work, translational kinetic energy, linear momentum, impulse.

a) Angular acceleration, torque, moment of inertia, angular work, rotational kinetic energy, angular momentum, angular impulse.
b) Radial acceleration, tension, rotational mass, rotational work, circular kinetic energy, rotational momentum, linear impulse.
c) Tangential acceleration, weight, rotational density, rotational work, rotational kinetic energy, rotational momentum, torque.
d) Centripetal acceleration, friction, rotational inertia, radial work, rotational kinetic energy, radial momentum, radial impulse.

Answer 1

The rotational terms analogous to translational physical quantities are angular acceleration, torque, moment of inertia, angular work, rotational kinetic energy, angular momentum, and angular impulse. Option a) Angular acceleration, torque, moment of inertia, angular work, rotational kinetic energy, angular momentum, angular impulse is the correct answer.

Step-by-step explanation:

Understanding the analogies between rotational motion and translational motion is key in Physics. In rotational motion, many concepts have direct analogs in translational motion. To identify the rotational term analogous to each translational physical quantity:

• Acceleration is analogous to Angular acceleration (α)
• Force is analogous to Torque (τ)
• Mass is analogous to Moment of inertia (I)
• Work is analogous to Angular work
• Translational kinetic energy is analogous to Rotational kinetic energy
• Linear momentum is analogous to Angular momentum (L)
• Impulse is analogous to Angular impulse

Therefore, the correct answer to the provided question is: a) Angular acceleration, torque, moment of inertia, angular work, rotational kinetic energy, angular momentum, angular impulse.