The relationship between linear velocity and angular velocity is that; v = θr/t; ω = θ/t and v = ωr.
What is linear and angular velocity?
Linear velocity is defined as the change in distance over time. Thus; v = s/t
However, where the distance is the circumference of a circle, it can be represented by; v = θr/t
Angular velocity is defined as the change in distance over time but the distance here is the change in angle measure. Thus;
Angular velocity is represented as; ω = θ/t .
Since v = θr/t and ω = θ/t, it means that;
v = ωr.
This means that linear velocity is the product of the radius and the angular velocity.
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