An object is spinning at a constant speed on the end of a string, according to the position vector r(t) = a cos ωti + a sin ωtj.                                                  (a) When the angular speed ω is doubled, how is the centripetal component of acceleration changed?                                                                                       (b) When the angular speed is unchanged but the length of the string is halved, how is the centripetal component of acceleration changed?

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