The relationship is a linear one. For example when driving at a constant speed, the relationship between distance driven and the time driven is linear with a constant ratio (of the constant speed).
The dimensions of speed are distance/time. Any unit of linear distance and any unit of time may be used.
Linear speed cannot be converted to rotational speed without knowledge about the distance from the axis of rotation.
linear
It doesn't matter where it is on the clock. If the clock is working properly, the speed of the hand is constant.The hand's angular speed is 360 degrees per minute = 6 degrees per second.For the linear speed, the tip of the second-hand revolves in a circle whose circumference is(2 pi) times (length of the hand) = 4 pi centimeters.It revolves once per minute. So the speed of the tip is (4 pi) cm/minute, or (240 pi) cm/hour.In numbers, the speed at the tip is:12.6 cm/minute2.09 mm/sec7.54 meters/hour0.000469 mile/hour593.7 feet/day12.593 furlongs/fortnight.Notice that this is the speed at the second-hand's tip. Other points on it travel slower.The closer the point is to the center, the slower its speed is. At the center, it spins, butthe linear speed is zero.
divide the linear speed by the radius
Linear speed is defined as the speed that the body moves in a linear path. It is the distance that is traveled within a given time for a linear path.
To convert linear speed to angular speed, divide the linear speed by the radius of the rotating object. The formula for this relationship is: angular speed (ω) = linear speed (v) / radius (r). This will give you the angular speed in radians per second.
At any distance from the axis of rotation, the linear speed of an object is directly proportional to the rotational speed. If the linear speed increases, the rotational speed also increases.
speed = distance ÷ time
In The Center Of The Rotating Platform Right At Its Axis You Have No Linear Speed At All, But You Do Have Rotational Speed. Your Rotational Speed would Stay The Same But As You Move Away From The Center Your Linear Speed Gets Faster And Faster. If You Move Twice As Much From The Center Your Linear (Tangential) Speed Would Also Be Twice as Much
IF something is linear its a line
No, there is a linear relationship.
For circular motion, linear speed = angular speed (in radians) x radius. How the radius affects speed depends what assumptions you make about the problem. For example, if you assume the radius increases but the angular speed does not, then of course the linear speed will increase.
Tangential speed
equator
what is the relation angular speed and angular speed with clutch disc plate