A rotating rod that is 15.3 cm long is spun with its axisthrough one end of the

Question

A rotating rod that is 15.3 cm long is spun with its axisthrough one end of the rod so that the other end of the rod has aspeed of 2010m/s(4500mph).
a. What is the centripetal accerleration of the end of therod? b.If you were to attach a 1.0g object to the end of the rod,what force would be needed to hold it on the rod? A rotating rod that is 15.3 cm long is spun with its axisthrough one end of the rod so that the other end of the rod has aspeed of 2010m/s(4500mph).
a. What is the centripetal accerleration of the end of therod? b.If you were to attach a 1.0g object to the end of the rod,what force would be needed to hold it on the rod?

Explanation / Answer

Centripetal acceleration ac = v2/r ac = (2010m/s)2/(0.153m) ac =(2.64x107)m/s2 -------------------- Centripetal Force Fc = mac Fc =(0.0010kg)(2.64x107m/s2) Fc = 26.4 kN -------------------- That is, an object with a centripetal acceleration will "want"to accelerate off of the rod. Therefore, in order to maintainthe object on the rod with a balanced net force of zero andmaintaining equilibrium, a 26.4 kiloNewton force (equalmagnitude) must be applied in the opposite direction ofFc to "meet" the centripetal force and hold the objecton the rod. -------------------- Remember: also check that you are using proper units. This step will save you from making mistakes and ensure that yourequations are valid (or at least significantly aid in raising thatprobability). ---------------------- I hope this solution was a Lifesaver for you. Please remember to rate my response. Fc =(0.0010kg)(2.64x107m/s2) Fc = 26.4 kN -------------------- That is, an object with a centripetal acceleration will "want"to accelerate off of the rod. Therefore, in order to maintainthe object on the rod with a balanced net force of zero andmaintaining equilibrium, a 26.4 kiloNewton force (equalmagnitude) must be applied in the opposite direction ofFc to "meet" the centripetal force and hold the objecton the rod. -------------------- Remember: also check that you are using proper units. This step will save you from making mistakes and ensure that yourequations are valid (or at least significantly aid in raising thatprobability). ---------------------- I hope this solution was a Lifesaver for you. Please remember to rate my response.

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