What is linear speed and angular speed

Question

(In Trignometry)

Answer 1

linear speed is speed along a given path, normally a straight line.

angular speed is some changing angle that changes as a function of time. The change in angle per unit time is angular speed. For instance, if a car wheel makes a complete rotation in 10 seconds, its angular speed is 360deg/10 sec or 36 deg/sec. Normally, in physical science, we use radians/sec as a standard unit for angular speed.

In motion around a circle, angular speed is related to tangential speed
angular speed in rad/sec= tangential speed/ radius

Answer 2

if i have something in revolutions per sec what is that(a.s. or l.s.) and how would I convert that to miles per hour

how do linear speed and angular speed relate

Answer 3

Unless you know the radius of curvature, it is apples and oranges.

radiusofCurvature*angularspeedINRev/sec*2Pi rad/rev= tangential speed in unit of radiius/sec.

then convert that to mph

Answer 4

we learned it using the formula:

theta = s/r

can you explain how the formulas for both of these equations relate to their definition