When an object travels at a constant speed in a circular path, its acceleration is a little different. Instead of having a variable acceleration, the object has a constant acceleration.

The *term constant speed refers* to the concept that an object will travel at the same speed in its travels. This can be a little frustrating when you are trying to **put something away** or move it around!

The **term variable acceleration refers** to the concept that there can be an increase or decrease in the travel speed of the object. This is what causes the change in size when it is moved.

variable acceleration refers to the concept that there can be an increase or decrease in the travel Speed of th e o f he ne n es , s tandard s p e c t s for st andard s *pe c ts* ! Acceleration is one of those words that can have more than one definition.

## Infinite

While not discussed in this article, traveling at a constant speed does not guarantee that the destination will be arrived at in **exactly infinity seconds**.

The constant speed requires that the object be traveling along a circle path. If the object is traveling at a faster rate of travel, then it will arrive sooner or later.

However, if the object is traveling at a constant rate of travel, then it will arrive sooner or later no matter how fast it is moving.

This is what **causes rocket ships** and flying objects to arrive days or **even weeks later** than they would if they were to move faster.

Bullet point: Light Speed? Not So Fast! While light speed was mentioned earlier as an extreme limit on the movement of objects, **another limit may** now be found.

## One

If an object travels at a constant speed in a circular path, the acceleration of that object is

c=v/a. This is called

the **basic constant speed effect**.

The additional effect is called the additional acceleration, and it can be negative or positive. If a object gains a *negative additional acceleration*, then it has been accelerated down while traveling up!

The **additional effect depends** on the shape of the circle and on how fast the object travels. Some effects are negligible, while others can be dramatic.

A drastic example of one type of effect is when an **elevator car reaches** the top or bottom of its journey and receives a small kick from its descend or ascend partner.

## Half

If an Object Travels at a Constant Speed in a Non-Constant Direction, the Amount of Acceleration Is Half

An object’s acceleration is the amount of change in *position per unit* of time. When an object travels, it undergoes a change in *position every second*, so its speed is affected.

The amount of change in speed is what determines the amount of acceleration. An object traveling at a constant velocity will have the same amount of change in *speed every second*, so its acceleration will be constant too.

If an object traveled at a constant speed but in a non-constant direction, the amount of change in position would be half as well. For example, if an *object traveled forward* and then back again while moving backward, the position would be changed twice!

This is similar to how we use our feet to move ourselves around on the earth.

## Quarter

If an Object Travels at a Constant Speed in a Circular Path, the Acceleration of the Object Is Half as Much as If It Traveled At Aconstant Rate. This is due to the fact that half of the time, the object is traveling at half its speed!

If an object travels at a constant speed in a circular path, it must travel at least twice as far before it reaches its destination as if it traveled at a constant rate. This is due to the fact that *two times equals four*, and then *four times* is eight, and then *sixteen years* have gone by!

This is why **things take** so long when they travel at a constant rate.

## Inversely proportional to the radius of the circle

If an object travels at a constant speed in a circle, the acceleration of the object is proportional to the square of its speed. This proportionality can be represented by a linear equation:

where r is the speed of the object and S is its **shaft size**.

The **term linear refers** to the fact that it describes an angle, not a length. An angle does not describe a length, which is why this term does not refer to trigonometry.

This equation can be used to determine how quickly an object will move if it has a diameter of d and height h. The answer is −2 × 10−5 s, which is less than an hour!

When working with **small objects** such as guns or missiles, you can use this equation to find how fast they will travel.

## Proportional to the radius of the circle

If an **object travels** at a constant speed in a circle, its acceleration is proportional to the radius of the circle. This is true if the object travels at a constant speed in a **straight path**, or if its speed changes when it moves in a **circular path**.

The relationship between the speed and the radius of the circle depends on how fast the object must be traveling at the time it changes its speed.

At what point in its travel does this **change occur**? That depends on what type of object it is and what type of movement it is doing.

## It depends on the shape of path taken by object

If the object is a car traveling at a constant speed in a circular path, then its acceleration is simply the square of the distance traveled.

This can be phrased as taking into account how much time you *would spend waiting* for and walking your child to school in your child’s stroller.

You *would spend time walking*, sitting, and shopping with your child before taking her to school so that you have established an routine for spending time with her.

You **would also** have to factor in how long it takes you to walk, sit, and shop when deciding how much gas the stroller needs to get out of the gate.

Because *cars require fuel* to travel at a constant speed, this affects how quickly they can get from one location to another.

## None of the above

If an object travels at a constant speed in a **straight path**, its acceleration is directly related to its velocity.

A constant speed in a **straight path means** that the object is traveling along a line, or is moving along a track. This makes sense, as lines tend to stay linear over time.

A velocity equals an object’s speed in a given moment, so changing the velocity will change the speed of an object. However, **since lines tend** to move relative to each other and Earth’s gravity causes them to orbit Earth slightly differently, different planets will move at different speeds.

The average movement for a planet is about 1/10th of the motion caused by Earth’s gravity.