Homework Help: Bucket Problem. Energy Method?

1. The problem statement, all variables and given/known data
Bob picks up a bucket of water by a rope and swings it around in a vertical plane. The bucket passes through the top of the circle with a speed v1.
(Note: You may neglect air resistance.)

a.)At point 1 (top of the loop):
How large is centripetal acceleration of the bucket? (Express as a multiple of g.)
ac,1 = · g
How much is the tension in the rope? (Express as a multiple of the bucket's weight.)
T1 = · mg

b.) At point 2 (bucket at same height as the center of the circle):
What is the speed of the bucket? (Express as a multiple of v1.)
v2 = · v1
How large is centripetal acceleration of the bucket?
ac,2 = · g
How much is the tension in the rope?
T2 = · mg

c.) Repeat when the bucket is at point 3 (bottom of the swing):
v3 = · v1
ac,3 = · g
T3 = · mg
2. Relevant equations

mg=(mv^2)/r


3. The attempt at a solution

I figured out the solutions to part a which is 1 and 0. But I'm having a hard time with part b and c. Top of the swing T=mv^2/r + mg. Left of swing T = mv^2/r. Bottom of swing T= mv^2/r -mg. Right?

 

Well, the problem is from webassign. And the way it wants me to put answers in is by multiples of the unit or multiples of gravity, mass, velocity, etc. The reason why I got 1 and 0 is because at the top of the swing, the centripetal acceleration is mg=(mv^2)/r which comes out to be a = g. So the answer is 1. Which will be 1 * g = g. That's how the website wants me to input the answers.