Question
A rope is tied to a pail of water and the pail is swung in a vertical circle of radius 1.3m. What must be the minimum velocity of the pail at the highest point of the circle if no water is to spill?
Answers
Young J. Hong
First, find the Force in the y-direction.
Fy=T+Fg=ma
..or in this case
T+Fg=(mv^2)/R
Tension equals to 0 because when the pail of water is at its highest peak, there, tension does not exist.
so now we have
mg=(mv^2)/R
Cancel out mass to get...
g=(v^2)/R
(gR)^(1/2)=v
Plug in values.
Fy=T+Fg=ma
..or in this case
T+Fg=(mv^2)/R
Tension equals to 0 because when the pail of water is at its highest peak, there, tension does not exist.
so now we have
mg=(mv^2)/R
Cancel out mass to get...
g=(v^2)/R
(gR)^(1/2)=v
Plug in values.