Particle Acceleration Calculator

Calculate Particle Acceleration









Formulas

To calculate the Particle Acceleration (PA):

Using velocity method:

\[ PA = \frac{v - u}{t} \]

Where:

Using force method:

\[ PA = \frac{F}{m} \]

Where:

What is Particle Acceleration?

Particle acceleration refers to the rate of change of velocity of a particle with respect to time. It is a vector quantity, meaning it has both magnitude and direction. The units for particle acceleration in the International System of Units (SI) are meters per second squared (m/s²).

Example Calculation 1

Let's assume the following values:

Using the velocity method:

Step 1: Calculate the difference between final and initial velocities:

\[ v - u = 30 - 10 = 20 \text{ m/s} \]

Step 2: Divide by the time interval:

\[ PA = \frac{20}{5} = 4 \text{ m/s²} \]

Using the force method:

Step 1: Divide the force by the mass:

\[ PA = \frac{100}{20} = 5 \text{ m/s²} \]

The Particle Acceleration is 4 m/s² using the velocity method and 5 m/s² using the force method.

Example Calculation 2

Let's assume the following values:

Using the velocity method:

Step 1: Calculate the difference between final and initial velocities:

\[ v - u = 15 - 5 = 10 \text{ m/s} \]

Step 2: Divide by the time interval:

\[ PA = \frac{10}{2} = 5 \text{ m/s²} \]

Using the force method:

Step 1: Divide the force by the mass:

\[ PA = \frac{200}{25} = 8 \text{ m/s²} \]

The Particle Acceleration is 5 m/s² using the velocity method and 8 m/s² using the force method.