# Acceleration

on . Posted in Classical Mechanics

Acceleration, abbreviated as a, is the rate of change of velocity with time.  Like velocity, this is a vector quantity that has a direction as well as a magnitude.  Whenever a mass experiences a force, an acceleration is acting.  An increase in velocity is commonly called acceleration while a decrease in velocity is deceleration.

Acceleration is a vector quantity having magnitude and direction, some of these include displacement, drag, force, lift, momentum, thrust, torque, velocity and weight.

### Acceleration Types

• Angular Acceleration  -  An object is the rate at which the angle velocity changes with respect to time.
• Centripetal Acceleration  -  The change in the velocity, which is a vector, either in speed or direction as an object makes its way around a circular path.
• Constant Acceleration  -  An object is the constant rate in a straight line at which the velocity changes with respect to time.
• Gravitational Acceleration  -  The force on an object caused only by gravity.
• Instantaneous Acceleration  -  The acceleration at a particular moment in time along its path.
• Linear Acceleration  -  The change in linear velocity of an object in a straight line.
• Tangential Acceleration  -  How much the tangential velocity of a point at a radius changes with time.
• Uniform Acceleration  -  When an object is traveling in a straight line with a uniform increase in velocity at equal intervals of time.
• Non-uniform Acceleration  -  When an object is traveling with a uniform increase in velocity but not at equal intervals of time.

### Acceleration formula

$$a \;=\; \Delta v \;/\; t$$     (Acceleration)

$$\Delta v \;=\; a \; t$$

$$t \;=\; \Delta v \;/\; a$$

Symbol English Metric
$$a$$ = Acceleration $$ft \;/\; sec^2$$ $$m \;/\; s^2$$
$$\Delta v$$ = Velocity Change $$ft \;/\; sec$$ $$m \;/\; s$$
$$t$$ = Time $$sec$$ $$s$$

### Acceleration formula

$$a \;=\; F \;/\; m$$     (Acceleration)

$$F \;=\; a \; m$$

$$m \;=\; F \;/\; a$$

Symbol English Metric
$$a$$ = Acceleration $$ft \;/\; sec^2$$ $$m \;/\; s^2$$
$$F$$ = Force $$lbf$$ $$N$$
$$m$$ = Mass $$lbm$$ $$kg$$

Tags: Acceleration