Linear speed or velocity can be determined by using the angular velocity and radius of a rotating wheel. This relationship can be described mathematically as linear speed = angular velocity x radius. This formula is useful in various applications, such as in the design and analysis of machines and vehicles that involve rotating wheels or pulleys. Understanding the relationship between angular and linear speed can help engineers and designers optimize the performance and efficiency of these systems.
An alternative formula for determining the velocity is defined as:
\(v\): the linear velocity/speed
\(w\): the angular velocity/speed
\(r\): the radius of the object
The SI unit of linear speed/velocity is: \(meter/second \text{ }(m/s)\)
Find \(v\)
Use this calculator to determine the linear speed/velocity of a circular object when its radius and angular velocity/speed are given.
the angular velocity/speed
