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A reference frame is a particular coordinate system chosen to represent physical entities. The notion is most often used in special and general relativity to denote particular coordinates chosen on the spacetime manifold.
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Rotating Rod in Special Relativity
The question seems to be trying to emphasise the mixing of space and time - t' will depend on x when t=0 (which of course itself depends on x' and t', oh dear).
A little playing around considering a s …