What's the volume of water required inside the lock if

This conversation is discussing the volume of water required inside a lock for a ship weighing 700 tons. The dimensions of the lock are 40 meters long, 3.5 meters high, and 6 meters wide, with an allowance of 0.5 meters for height. Using Archimedes' principle, the mass of water displaced by the ship is equal to its mass of 700 tons, which is equivalent to a volume of 700 cubic meters. Therefore, the total volume of water required inside the lock is (3 x 40 x 6) cubic meters - 700 cubic meters, or 620 cubic meters. If the ship were to empty its load, which has a density of 755 kilograms per cubic meter,
  • #1
davekardle
23
0
What's the volume of water required inside the lock if...

Homework Statement



The dimension of the lock is:40 long x 3.5 height x 6 width
allowing 0.5 height.

The ship weights 400T plus 300T(LOAD)
total= 700T

whats the amount of water used per lock allowing allowing 0.5 m from the height?

What if the ship empties its load on the lock ? the density of the load is 755kg/m^3.

Homework Equations



Archimedes principle
Mass of water displaced

The Attempt at a Solution



Mass of water displaced by the boat mass = 700T
VOLUME = 700M^3
Total volume inside the lock allowing 0.5

(3x40x6)m^3 - 700M^3

Is that correct ?

How about if the ship empties its load on the lock ?
 
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  • #2


davekardle said:

Homework Statement



The Attempt at a Solution



Mass of water displaced by the boat mass = 700T
VOLUME = 700M^3
Total volume inside the lock allowing 0.5

(3x40x6)m^3 - 700M^3

Is that correct ?
Yes.

How about if the ship empties its load on the lock ?

The new displaced volume of water will be how much? So the level of the lock rises by how much?
 
  • #3


Duplicate posting in several other forums.
 

What is the volume of water required inside the lock if the lock is empty?

The volume of water required inside the lock when it is empty is equal to the volume of the lock itself. This can be calculated by multiplying the length, width, and depth of the lock together.

How does the volume of water required inside the lock change when a boat enters?

The volume of water required inside the lock will increase when a boat enters, as the boat displaces water and takes up space in the lock. The amount of water required will depend on the size and weight of the boat.

What happens to the volume of water required inside the lock when the lock is filled with water?

When the lock is filled with water, the volume of water required inside the lock will be equal to the total volume of the lock and the boat. This is because the water level will rise to accommodate the boat, and the lock will be filled to its maximum capacity.

How does the volume of water required inside the lock change when the lock is emptied to let the boat out?

As the water level in the lock decreases when the lock is emptied, the volume of water required inside the lock will also decrease. The volume of water required will be equal to the volume of the boat, as the boat will be the only object remaining in the lock.

What factors can affect the volume of water required inside the lock?

The volume of water required inside the lock can be affected by various factors, such as the size and weight of the boat, the dimensions of the lock, and the water level outside of the lock. The type of lock system and the amount of water needed to raise or lower the lock can also impact the volume of water required.

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