< Back to the FAQ

# Dynamic Measurement Quantities

## Dynamic Measurement Quantities: Introduction

The Motion is characterized by three quantities: Displacement – Velocity – Acceleration

Displacement: Displacement quantifies the change in spatial position

Velocity: Velocity is the rate of change of displacement with respect to time

Acceleration: Acceleration is the rate of change of velocity with respect to time

## Displacement, Velocity and Acceleration Relationships

For sinusoidal motion, displacement, velocity and acceleration are expressed by:

displacement d = d0 sin [2πft]

velocity v = d0 (2πf ) cos [2πft]

acceleration a = -d0 (2πf )2 sin [2πft]

where d0 = displacement amplitude / f = frequency / t = time

## Amplitude Relationships and Units

Mathematical relationships between displacement, velocity and acceleration

## Gravitational units

Normalizes acceleration to gravitational acceleration constant:

g = acceleration/ G

where G is the gravitational acceleration constant in the appropriate units