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Hoppa

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Show that, with suitable choice of axes, a carriage’s trajectory can be modeled as:

r(t) = (p cos wt, p sin wt, qt)

and find a relationship for the pitch p in terms of the modelling parameters w and q. Find a relation for the carriage speed u and the centripetal acceleration in terms of the modelling parameters p, w and q. By requiring that the centripetal acceleration should equal the acceleration due to gravity, find a relationship between p and p (involving u) that will assist in design decisions.

thats the problem that i am stuck with. i haven't got far with it either. any help would be appreciated.

since the helix's are circular it would be that 2(pi)r = p x (number of sections)

centripetal accelaration equals the accelaration due to gravity, would that equal v^2/r = 9.8 ??