This situation is very interesting -
A professor placed two of his deserving students on a special ride. The special ride consists of a disc which spins with angular speed \(ω\). The two students sit on chairs which are aligned along one of the radii of the disc at distance \(S1\) and \(S2\) respectively from the center. Spinning the disc, the professor asks them to find each other's relative velocity.
Opinion 1: The relative velocity among the students is zero as they don't appear to move with respect to each other.
Opinion 2: The relative velocity of the students is not zero as the velocity of one student is \(ωS1\) and the other's velocity is \(ωS2\). Hence the relative velocity among them is \(ω(S1-S2)\).
[By relative velocity, I mean velocity of A with respect to B or vice-versa, where A and B are the two students.]
Which one of them do you think is right and why?