The motion of a body in circle of fixed radius is called circular motion.
Example 1.The motion of a stone tied to a string when whirled in the air is a circular motion.
Example 2.The motion of a point on the rim of a cycle wheel about its axle is an example of circular motion.
Angular displacement (0)
Let a particle is revolving in a circle of radius'r' in anticlockwise direction.
At time t =0,particle is at position A and after time (t),it is at point B.
The angle described by the particle about the axis of rotation in a given time is called angular displacement.It is detested by 0.
i.e., <AOB=0=Angular displacement
Since Angle = Arc/Radius - 0 = AB/r
Angular velocity (00)
Angular displacement is a dimensionless quantity and it's S.I.unit is radian.
The angle described by a rotating body per unit time is called angular velocity.
Or
The rate of change of angular displacement of a body is called angular velocity.
It is denoted by Greek letter w (omega).Consider a particle moving in a circular path of radius'r in anti clockwise direction.Let the particle moving from A to B in the a time 't' second i.e.,particle has described angle 0 in time t second.
The angle described by particle per unit time = 0/t
Angular velocity (00)=0/t
Dimensional formula of angular velocity is [M°L°T-1] and S.I. unit of angular velocity is radian/second or rad/s.
Example 1.The motion of a stone tied to a string when whirled in the air is a circular motion.
Example 2.The motion of a point on the rim of a cycle wheel about its axle is an example of circular motion.
Angular displacement (0)
Let a particle is revolving in a circle of radius'r' in anticlockwise direction.
At time t =0,particle is at position A and after time (t),it is at point B.
The angle described by the particle about the axis of rotation in a given time is called angular displacement.It is detested by 0.
i.e., <AOB=0=Angular displacement
Since Angle = Arc/Radius - 0 = AB/r
Angular velocity (00)
Angular displacement is a dimensionless quantity and it's S.I.unit is radian.
The angle described by a rotating body per unit time is called angular velocity.
Or
The rate of change of angular displacement of a body is called angular velocity.
It is denoted by Greek letter w (omega).Consider a particle moving in a circular path of radius'r in anti clockwise direction.Let the particle moving from A to B in the a time 't' second i.e.,particle has described angle 0 in time t second.
The angle described by particle per unit time = 0/t
Angular velocity (00)=0/t
Dimensional formula of angular velocity is [M°L°T-1] and S.I. unit of angular velocity is radian/second or rad/s.