Posted by **Anonymous** on Monday, October 19, 2009 at 10:46am.

you swing the pail in a vertical circle of radius 0.900m.What minimum speed must you give the pail at the highest point of the circle if no water is to spill from it?

- Physics -
**bobpursley**, Monday, October 19, 2009 at 11:05am
well, centripetal force must be greater than weight

mg<=mv^2/r

v>=sqrt(g*r)

check that.

- Physics -
**Anonymous**, Monday, October 19, 2009 at 11:08am
i don't know where to go from there

- Physics -
**bobpursley**, Monday, October 19, 2009 at 11:22am
v is the minimum speed.

- Physics -
**Young J. Hong**, Friday, February 15, 2013 at 5:17pm
Consider the following equation 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 the highest point, tension is nonexistent.

Therefore...

mg=(mv^2)/R

Cancel out mass

g=(v^2)/R

(Rg)^(1/2)=v

Plug in values.

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