When we measure object undergoing circular motion, one of the issues that arise is that we use dimension that are based linearly
Take for example displacement, which is determined as the separation in a straight line between two point.
But what is the displacement when an object undergoes one revolution?
In a linear sense, it is zero. It is at the same position it left.
Thus when an object travels one revolution, its average velocity is also zero.
Take for example displacement, which is determined as the separation in a straight line between two point.
But what is the displacement when an object undergoes one revolution?
In a linear sense, it is zero. It is at the same position it left.
Thus when an object travels one revolution, its average velocity is also zero.
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There needs to be another way of analysing motion that account for this. This is what this lesson is about.
Watch the following video which introduces the concept of measuring angular displacement and velocity. |
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Going Further
We can now extend this understanding but also examining angular acceleration, which is the rate of change of angular velocity.
Do not confuse this with centripetal acceleration. Whereas centripetal acceleration point to the centre, that is, perpendicular to the linear velocity, angular acceleration's direction is parallel to the angular velocity.
Therefore, with the variables discussed, - namely θ, ω, α, and t - we can introduce the rotational forms of the equations of motion.
We can now extend this understanding but also examining angular acceleration, which is the rate of change of angular velocity.
Do not confuse this with centripetal acceleration. Whereas centripetal acceleration point to the centre, that is, perpendicular to the linear velocity, angular acceleration's direction is parallel to the angular velocity.
Therefore, with the variables discussed, - namely θ, ω, α, and t - we can introduce the rotational forms of the equations of motion.
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This video examines all the key variables in rotational kinematics and introduces the rotational equations of motion.
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