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Acceleration Calculator

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The acceleration calculator helps you analyze at which rate an object's velocity changes over time. It helps in quantifying how quickly an object is speeding up or slowing down, making it a useful tool in physics and engineering calculations.

What is Acceleration in Physics?

Acceleration is defined as,

“The rate at which velocity changes with respect to time”.

The term acceleration is used to describe a change in the speed of an object. The speed of an object can be increased or decreased, or it can change its direction.

Examples: 

  • Falling an apple to the ground
  • The moon moving around the Earth
  • Car stopping at a traffic light.

Types of Acceleration:

There are three main types of acceleration such as:

  • Uniform Acceleration
  • Non-uniform Acceleration
  • Average acceleration

1. Uniform Acceleration:

Uniform acceleration occurs when an object changes its speed by the same amount in equal time intervals. It's like when a car steadily speeds up by the same number of miles per hour every second. It's a constant and predictable change in velocity.

2. Non-Uniform Acceleration:

Non-uniform acceleration is when an object changes its speed by different amounts in equal time intervals. Imagine a car that goes from slow to fast, then slow again, all in the same amount of time. It's an irregular change in velocity.

3. Average Acceleration:

This represents the overall change in speed of an object over a period of time. It doesn't necessarily tell you how the speed changes time by time but gives you an average picture. For example, if a car goes from 30 mph to 60 mph in 10 seconds, the average acceleration tells you the overall change in speed over that time, which is 3 mph per second.

The Expressions of Acceleration:

Here is the acceleration formula to calculate the acceleration manually,

$$ \begin{array}{l}acceleration = \frac{(final\;velocity)-(initial\;velocity)}{time}\end{array} $$

$$ \begin{array}{l}acceleration = \frac{change\;in\;velocity}{time}\end{array} $$

$$ \begin{array}{l}a= \frac{v_{f}-v_{i}}{t}\end{array} $$

$$ \begin{array}{l}a= \frac{\Delta v}{t}\end{array} $$

In this acceleration formula,

  • a  =  The acceleration in $$ m.s^{-2} $$
  • t   =  The time interval in s
  • vf =  The final velocity in $$ m.s^{-1} $$
  • vi =  The initial velocity in $$ m.s^{-1} $$
  • Δv = The small change in the velocity in $$ m.s^{-1} $$

How to Calculate Acceleration?

If you are confused about how to find acceleration, here we are going to illustrate an example through this you can make your concepts clear about acceleration. You can also try a free online tool acceleration calculator for this.

Example:

Imagine a bicycle rider who starts from rest and accelerates to a speed of 10 meters per second (m/s) in 2 seconds.

Solution:

Here is the formula for acceleration (a):

$$ \text{Acceleration} = \frac{\text{Final Velocity} - \text{Initial Velocity}}{\text{Time}} $$

1. First, find the initial velocity:

Since the bicycle starts from rest, the initial velocity is 0 m/s.

2. Next, determine the final velocity:

The rider accelerates to a speed of 10 m/s.

3. Determine the time:

The acceleration takes 2 seconds.

4. Now, use the acceleration equation:

$$ \text{Acceleration} = \frac{10\, \text{m/s} - 0\, \text{m/s}}{2\, \text{s}} = \frac{10\, \text{m/s}}{2\, \text{s}} = 5\, \text{m/s}^2 $$

So, the rider's acceleration is $$ 5\, \text{m/s}^2 $$. This means that for every second the rider accelerates, their speed increases by 5 meters per second.

Steps to Use Acceleration Calculator:

If you don’t want to calculate all these calculations manually then the acceleration calculator helps you with this, all you need to do is enter a couple of inputs and there you go.

What to do:

  • First, select which calculation you are going to calculate
  • Then enter all the parameters according to their respective fields
  • Press the Calculate button.

What you get:

  • Initial and final Velocity from acceleration
  • Average Velocity
  • Constant Acceleration and time
  • Displacement
  • Plot Graph Displacement(m) vs. Time(s)
  • Plot Graph Velocity(m/s) vs. Time(s)

FAQs:

What Is the Unit of Acceleration?

The unit of acceleration is "meters per second squared" (m/s²). It tells you how much an object's speed changes in one second. So, if something has an acceleration of 2 m/s², it means its speed is increasing by 2 meters per second every second.

How do force and mass affect acceleration?

Force and mass both play crucial roles in affecting acceleration:

Force: Force is like a push or pull on an object. When you apply more force to an object, it accelerates more. Think of pushing a bicycle harder to make it go faster. So, more force generally means more acceleration.

Mass: Mass refers to how much stuff is in an object. Heavier objects have more mass. When you apply the same force to two objects with different masses, the lighter one will accelerate more. Imagine pushing a small ball and a big ball with the same force; the small ball will accelerate faster

In simple words, if you want something to accelerate quickly, you can either apply more force to it or choose an object with less mass.

How to calculate average acceleration?

You can calculate average acceleration by using it’s formula, The average acceleration formula is: 

The difference between the final velocity and the initial velocity minus the change in time.

References:

Khanacademy.org: What is acceleration?  What does acceleration mean? and  What's the formula for acceleration?

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