# Linear Speed Calculator

## Table of Content

Feedback

Linear speed calculator helps you find how fast an object is moving in a straight line by calculating its linear speed, based on the angular velocity and radius of the rotation.

## This is How Linear Speed Calculator Works:

Calculate the linear speed in one click by following the simple steps shown below:

What to Enter?

• First, select the parameters in which you want to calculate
• Next, enter the values of angular velocity and radius of the rotation

What will you Get?

• Linear speed values along with step-by-step calculations

## What is Linear Speed?

“Linear speed refers to the rate at which an object moves along a straight path.”

It is typically measured in meters per second (m/s).

### Example:

A car is moving on a highway and the speedometer shows the linear speed, indicating how fast the car is covering the distance. For example, the car’s speedometer indicates 60 miles per hour this represents its linear speed along the road.

## Linear Speed Formula:

Here is the basic formula to calculate the linear speed:

v = ωr

Where,

• v – Linear Speed (m/s)
• w – Angular Velocity (rad/s)
• r – Radius of the circular path

## How to Calculate Linear Speed?

We recommend you use the linear speed calculator to calculate the linear speed faster. But if you want to calculate it manually, then follow the example shown below:

### Example:

Let's say you have a bicycle tire that is spinning at an angular speed of 10 (rad/s) and the radius of the tire is 0.3 meters. We want to find the linear speed (v) in meters per second.

Let’s use the linear speed formula:

v = ωr

Now, put the values into the equation:

v = 10 (rad/s) x 0.3 meters

v = 3 (m/s)

So, the linear speed of a point on the edge of the bicycle tire is 3 (m/s).

## Linear Speed Common Examples:

Here is a table of some common examples through which you can easily get an idea about the linear speed of common objects:

Object Linear Speed (v) Angular Velocity (ω) Radius (r)
Car tire 20 m/s 100 rad/s 0.5 m
Merry-go-round horse 1.884 m/s 0.628 rad/s 3 m
Bicycle tire 22.62 m/s 75.4 rad/s 0.3 m
CD spinning in a CD player 1.5 m/s 20 rad/s 0.06 m
Earth rotating on its axis 465 m/s 0.007 rad/s 6,371 km

## FAQs:

### What’s the Difference Between Angular and Linear Speed?

The following table helps you understand the difference better, such as:

Aspect Angular Speed Linear Speed
Definition Rate at which an object rotates Rate at which an object moves in a Straight line
Unit Measured in radians per second (rad/s) Measured in meters per second (m/s)
Symbol Represented by ω (omega) Represented by v
Formula ω = θ/t v = ωr
Example Spinning wheel of a car Speed of the car along a straight road

### Is Linear Speed Always Constant?

No, linear speed can vary. An object can experience acceleration or deceleration, leading to changes in its linear speed.

### How is Linear Speed Relevant in Sports?

In sports, linear speed is crucial for determining the velocity of players or objects in motion, like a ball being kicked or thrown.

## References:

Geeksforgeeks.org: Linear Speed Formula, Linear Speed ### Alan Walker

Studies mathematics sciences, and Technology. Tech geek and a content writer. Wikipedia addict who wants to know everything. Loves traveling, nature, reading. Math and Technology have done their part, and now it's the time for us to get benefits.