Angular velocity need not be defined only for a circular motion. Even if there is a small tiny path of length dx (and this dx may not be a part of circle), even then angular velocity can be defined. Watch my another video in which I have shown that a particle moving in a straight line can also have angular velocity, it just depends on the point of reference.

@@ThePhysicsGuru could you tell the name of the video title or give a link?

@@adityasingh-qw9hn ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-JwzqQ1Xq-F0.html

@@ThePhysicsGuru hi i had another doubt unrelated to the video and cant find the answer anywhere. The work energy theorem statement states that w conservative plus w non conservative plus w external is eq to change in kinetic energy. But in questions im unable to differentiate between which forces i should take as external and which forces i should take as conservative. For example a bob is hanging from the ceiling via a spring. So is the spring force an external force acting on the body and is the gravitational force also an external or conservative force?? Would appreciate if u helped

@@adityasingh-qw9hn Take the bob of pendulum as system. You ma draw an imaginary boundary around the bob. Then we can realize that the tension force (T) due to string and the force of gravity (mg) are the two external forces acting on the bob. Work done by tension force throughout the motion is zero as T akways acts perpendicular to the path on which pendulum moves. Work done by gravity is simply mgh, where h is the vertical displacement of bob.

The more deeply you learn all the derivations, more easy it becomes to crack the JEE exam. Learn all derivations nicely.