Can someone check my math, please? [Archive] - Wizards Community

Post/Author/DateTimePost
Kevtar

03-01-07, 06:59 PM
Hi all,

I hate math.

How long will it take to fill a 5x5x10' room with water if I have a Decanter of Endless Water and use the Geyser function that creates 30 gallons of water/round? This is assuming that 7.5 gallons of water = 1 Cubic foot of space.

This is what I came up with:

Volume: 5Wx5Lx10H =250 cubic feet in volume.
Gallons of water needed to fill the room: 250(7.5)=1,875 gallons
Rate of water:30 gallons/round or 300 gallons/minute
Answer62.5 rounds or just over 6 minutes.

Is that right?

Thanks
Yadot

03-01-07, 07:58 PM
Yes, it is.
stargate525

03-01-07, 08:07 PM
6 minutes and fifteen seconds is correct.
Nathreet

03-01-07, 08:14 PM
yeup

6 minutes and fifteen seconds is correct.
Actually 6 minutes and fourteen seconds. Only because there are actually 7.48 gallons in a cubic foot.

On average it takes a strength of 14 to hold the decanter of endless water without falling. Someone with a strength of 14 can hold 175lbs. of equipment. 175lbs. spread across a foot wide round stream produces 1.55psi of pressure. That might not seem like much, but against a 2.5' x 8' door that equals over 2 tons of force after the room is completely full. Your room better have a good door. Typical thick stone dungeon walls should have no trouble supporting the 5-1/2 tons pressing against them, though.

EDIT: There's another ~3.5psi on the bottom of the door from the weight of the water, for a total of ~5psi at the bottom but still 1.55psi up top. So there is about 5 tons pushing on the door and about 12 tons of force pushing on the walls. There are about 8 tons of water in the room.

How does 175lbs. become multiple tons? It's a matter of hydraulics. Engineers use it to lift heavy things all the time. The trade-off is that the object being lifted moves much slower than the source of power.
Solaris

03-01-07, 08:18 PM
..
Fencerboy

03-01-07, 09:14 PM
Meaning 62 1/2 rounds of holding, then some swimming...:eek:
Kevtar

03-01-07, 09:45 PM
yeup


Actually 6 minutes and fourteen seconds. Only because there are actually 7.48 gallons in a cubic foot.

On average it takes a strength of 14 to hold the decanter of endless water without falling. Someone with a strength of 14 can hold 175lbs. of equipment. 175lbs. spread across a foot wide round stream produces 1.55psi of pressure. That might not seem like much, but against a 2.5' x 8' door that equals over 2 tons of force after the room is completely full. Your room better have a good door. Typical thick stone dungeon walls should have no trouble supporting the 5-1/2 tons pressing against them, though.

EDIT: There's another ~3.5psi on the bottom of the door from the weight of the water, for a total of ~5psi at the bottom but still 1.55psi up top. So there is about 5 tons pushing on the door and about 12 tons of force pushing on the walls. There are about 8 tons of water in the room.

How does 175lbs. become multiple tons? It's a matter of hydraulics. Engineers use it to lift heavy things all the time. The trade-off is that the object being lifted moves much slower than the source of power.

I wonder if a character can activate the decanter and then wedge it securely somewhere while it continues to spew water - or would the decanter deactivate once the PC let go?

In any case, I've moved from filling the room with water from a decanter to something less complex. I was particularly interested in making sure I remembered the formula for volume correctly.

Here's the important follow-up question?
Using the information above (and the fact that the walls are 3 feet thick, if that makes a difference), what is the minimum size of hole the PCs would need to make in order to get the room to stop filling?

Can you provide an equation?

Thanks!