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A particle is going in a spiral path as ...

A particle is going in a spiral path as shown in figure with constant speed.
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A particle is revolving in a circular path as shown in figure in the horizontal plane such that the angular velocity of the particle about the point O is constant and is equal to 1 rad//s . Distance of the particle from O is given by R=R_(0)-betat where R_(0) and beta are constant. The speed of the particle as a function of time is:

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