Linear Speed
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Linear path refers to the plain path like a straight road. You could often be walking, riding, running in a straight line road. The speed you are carrying is what linear speed is! So lets see the concept of linear speed and how to determine linear speed and angular speed in circular motion and linear motion.
The Linear speed is that speed what the body has when its in a straight line path. It is the rate of change of linear displacement for a time t. Suppose a body displaces from a point along a circumference at a radius r and the ray from the center of circle to the point traverses angle θ radians in time t.
The Linear speed is that speed what the body has when its in a straight line path. It is the rate of change of linear displacement for a time t. Suppose a body displaces from a point along a circumference at a radius r and the ray from the center of circle to the point traverses angle θ radians in time t.
Linear Speed Formula
There are two formulas for linear speed:
The linear speed in terms of linear displacement is given by
v = Δs/Δt
Here S represents linear displacement and t is the time taken.
The angular speed in terms of linear speed is given by
v = ω r
Where ω is the angular speed and r is the radius of circular path.
There are two formulas for linear speed:
The linear speed in terms of linear displacement is given by
v = Δs/Δt
Here S represents linear displacement and t is the time taken.
The angular speed in terms of linear speed is given by
v = ω r
Where ω is the angular speed and r is the radius of circular path.
Angular Speed
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We all know that Speed is all about how fast or slow a body moves. To calculate the speed of the rotational motion, angular speed comes into play.
Angular Speed Formula calculates the distance traveled by the body in terms of rotations or revolutions to the time taken.
Angular Speed Formula calculates the distance traveled by the body in terms of rotations or revolutions to the time taken.
It is represented by ω and is given as
Distance traveled is in terms of angle θ is measured in radians and time taken is in seconds. Hence the Angular speed is expressed in radians per seconds or rad/s.
Angular speed for one complete rotation is given as
Angular speed for one complete rotation is given as
The relation between Linear speed and Angular speed is
Where v = Linear speed and r = radius of circular path.
REMEMBER!
R= d/t D=rt T= d/r