Define angular velocity(o). Derive v,a).

1.	Define angular velocity(o). Derive v,a).
Answer» Angular velocity can be considered to be a vector quantity, with direction along the axis of rotation in theright-hand rulesense. For an object rotating about an axis, every point on the object has the same angular velocity. The tangential velocity of any point is proportional to its distance from the axis of rotation. Angular velocity has the units rad/s. Derivation : You're moving in a circle of radius r, so the distance you travel in one full trip round the circle is 2.pi.r and you're doing it in one time period, T speed, v = distance/time = 2.pi.r/T w = angular speed, and you complete 2 pi radians in time T, so w = 2pi/T so v=rw thank u ☺️

Answer»

Angular velocity can be considered to be a vector quantity, with direction along the axis of rotation in theright-hand rulesense.

For an object rotating about an axis, every point on the object has the same angular velocity. The tangential velocity of any point is proportional to its distance from the axis of rotation. Angular velocity has the units rad/s.

Derivation :

You're moving in a circle of radius r, so the distance you travel in one full trip round the circle is 2.pi.r and you're doing it in one time period, T

speed, v = distance/time = 2.pi.r/T

w = angular speed, and you complete 2 pi radians in time T, so w = 2pi/T

so v=rw

thank u ☺️

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