Thankspixel said:The moment of the velocity (r x v) would give you the direction of the angular velocity vector but not its magnitude as ω ≠ rv but rather v = rω.
So can we say that vector form of tangential velocity is 'moment' of angular velocity, right?pixel said:The moment of the velocity (r x v) would give you the direction of the angular velocity vector but not its magnitude as ω ≠ rv but rather v = rω.
pixel said:The moment of the velocity (r x v) would give you the direction of the angular velocity vector but not its magnitude as ω ≠ rv but rather v = rω.
I think the answer must be No, strictly. Surely you should say that the angular velocity is the 'moment' of the tangential velocity. That would make more sense.Soumitra said:So can we say that vector form of tangential velocity is 'moment' of angular velocity, right?
Don't get me wrong but, It's hard to digest!; So (in short) did you mean 'What's in a name'?Zachary Burell said:you can say anything, choose whatever semantics you wish but that will only cloud what is going on and you will still have the same equation, physics power derives from expressing laws and and phenomena in terms of precise mathematical relationships, the word you use to refer to the precise mathematical relationships is arbitrary and will not add any substance or clarity, if you want gain intuition write down the equation for the most general case (no numbers, all symbols) and then one can proceed from this expression to different specific special cases; playing around with these equations, staring at them, and letting our subconscious bat that around all are the ways physicists gain deeper insight into a problem, not by trying to come up with the newest trendy bumper sticker catch phrase, which is ambiguous because its bound to be interpreted as many different ways as people who hear it (the major handicap of non mathematical sciences and why they will all be subsumed by physics in due course as is already beginning to take place in chem and bio and climatology etc
Angular velocity and tangential velocity are both measures of how fast an object is rotating around a fixed point. Angular velocity specifically measures the rate of change of angular position, while tangential velocity measures the linear speed of an object along a circular path.
Yes, angular velocity can be considered a moment of tangential velocity. This is because angular velocity is a measure of how fast an object is rotating, while tangential velocity is a measure of how fast an object is moving along a circular path. Together, they provide a more comprehensive understanding of an object's motion.
Angular velocity and tangential velocity are related by the formula v = ωr, where v represents tangential velocity, ω represents angular velocity, and r represents the radius of the circular path. This formula shows that tangential velocity is directly proportional to angular velocity and the radius of the circular path.
Yes, both angular velocity and tangential velocity can be negative. A negative value indicates that the object is rotating or moving in the opposite direction compared to a positive value. For example, a negative angular velocity would indicate that an object is rotating clockwise, while a positive angular velocity would indicate counterclockwise rotation.
Angular velocity and tangential velocity are used in many fields, including physics, engineering, and sports. They are important in understanding the motion of objects in circular paths, such as the rotation of a wheel or the movement of planets in orbit. In sports, these concepts are relevant in understanding the movement of projectiles, such as a baseball or a golf ball. They are also used in the design and analysis of machinery, such as turbines and engines.