Physics: Translational vs. Rotational Motion

Practice flashcards covering definitions, formulas, and real-world applications of translational and rotational motion from the physics lecture.

Translational Motion

The movement of an object in such a way that all parts move the same distance in the same amount of time, in the same direction.

Linear Quantities

Physical descriptors consisting of displacement, velocity, and acceleration.

Linear Displacement

The change in position of an object in a straight line; for example, a runner running $100$ meters east.

Linear Velocity

The rate of change of displacement, such as a car covering $60$ kilometers in one hour in a specific direction ($60\,km/h$).

Linear Acceleration

The rate at which velocity changes over time; for example, a car speeding up from $0$ to $60\,km/h$ in $5$ seconds.

Rotational Motion

The motion of an object around a fixed axis.

Angular displacement ($\theta$)

Measured in radians ($rad$); associated with the formula $=S/T$ according to transcript notes.

Angular velocity ($w$)

The rate of change of angular displacement, measured in $rad/s$; calculated with the formula $w = \theta/t$.

Angular acceleration ($a$)

The rate at which angular velocity changes over time, measured in $rad/s^2$; calculated with the formula $a = \frac{w - w_0}{t}$.

Linear/angular relation (Velocity)

The relationship defined by the formula $v = rw$.

Linear/angular relation (Acceleration)

The relationship defined by the formula $a = Ta$ according to transcript notes.

Rotational Kinematic Equation (1)

The equation for final angular velocity: $w = w_0 + at$.

Rotational Kinematic Equation (2)

The equation for angular displacement: $\theta = w_0 t + \frac{1}{2} a t^2$ (noted as $0 = wot + 1/\sqrt{at^2}$ in transcript).

Rotational Kinematic Equation (3)

The equation relating velocity, acceleration, and displacement: $w^2 = w_0^2 + 2a\theta$.

Running

An exercise that involves translational motion of the body.

Arm circles

An exercise that involves rotational motion.

Cycling

An activity that combines both translational and rotational motion.

Gymnastics

A sport that utilizes body rotations during maneuvers like flips.

Dancing

A movement form involving coordinated linear and angular movements.

Motions Study Benefits

Understanding motion helps improve Performance, Balance, Efficiency, and Safety.