1. The problem statement, all variables and given/known data Q.1. Explain the changes in the tension of a piece of string which is being swung vertically with a bucket of water at the end. What would the minimum centripetal acceleration need to be for water to not fall out? 2. Relevant equations ac = v^2/r 3. The attempt at a solution The tension in any vertical path will always be greatest at the bottom as the weight force needs to be overcome as well as providing a net force towards the center which is required for circular motion. The centripetal acceleration would need to be 9.81 m/s^2, therefore, at the top gravity will provide all the centripetal force and no tension is required from the string. From researching the bucket problem online, it seems to be that when the bucket is weightless at the top then the tension at the bottom would be equal to twice the weight of the bucket. However, this assumes uniform circular motion. Can this bucket problem ever be uniform circular motion? Can you ever have water in a bucket having a centripetal acceleration of 9.81 all the time? Surely as it comes down towards the ground the kinetic energy is greater therefore v^2/r cannot be constant?