Thought I'd start a new thread on this so the Poor Soul asking about trailerable 25-footers doesn't get swamped.
The analysis here: http://h260.com/water_ballast/water_ballast_index.html
bothers me cuz I can't find where it's wrong but I KNOW it's wrong. I think I may have at least some insight, but would appreciate more...
Let's do some Einsteinian "thought experiments". First, put a container at the side of your boat, under water, and somehow account for its weight and the weight of any straps, poles, etc. Now, fill it with AIR (this simulates a water-ballast boat with no water). The container will provide NEGATIVE righting moment. Now, fill it with LEAD (classic keeled boat). It will provide POSITIVE righting moment. Now, fill it with water. It will provide NO righting moment.
So we can see the righting moment created by our container depends not on the weight of what's inside in air, but in water. And I think Mr Archemedes is involved here: the principle is that if the container displaces more water than it weighs, it "floats" (negative moment) and vice versa. In other words, it must weigh more than the water it displaces in order for it to provide positive righting moment.
Let's do another one (fun on a winter evening, isn't it? Hope you're sitting by a fire with a warm glass of brandy...). Let's take that water-ballast boat, with ballast filled, and neglect the weight of the fibreglass below the water ballast (it's constant in all this so can be disregarded for the purposes of comparison). Now, let's TAKE IT AWAY. In your mind, make the hull of the boat go OVER the water ballast instead of UNDER it. Now, what's changed? Water, not weighing more than water, will not sink if the hull is removed from below it. So more practically, we can see that the water ballast does not exert downward pressure on the hull (as long as it's below the waterline). If you like, you can prove this by poking a hole in the hull underwater and see that the water doesn't run out
SO - how can it provide righting moment?
I think the problem in the link's analysis is that they're looking at CG, based on the boat's weight (as in air). But I think they need to be looking at it's DISPLACEMENT. I'm not sure how one can insert the wisdom of my thought experiments into the CG/CB analysis - any suggestions?
druid
http://h260.com/water_ballast/water_ballast_index.html
The analysis here: http://h260.com/water_ballast/water_ballast_index.html
bothers me cuz I can't find where it's wrong but I KNOW it's wrong. I think I may have at least some insight, but would appreciate more...
Let's do some Einsteinian "thought experiments". First, put a container at the side of your boat, under water, and somehow account for its weight and the weight of any straps, poles, etc. Now, fill it with AIR (this simulates a water-ballast boat with no water). The container will provide NEGATIVE righting moment. Now, fill it with LEAD (classic keeled boat). It will provide POSITIVE righting moment. Now, fill it with water. It will provide NO righting moment.
So we can see the righting moment created by our container depends not on the weight of what's inside in air, but in water. And I think Mr Archemedes is involved here: the principle is that if the container displaces more water than it weighs, it "floats" (negative moment) and vice versa. In other words, it must weigh more than the water it displaces in order for it to provide positive righting moment.
Let's do another one (fun on a winter evening, isn't it? Hope you're sitting by a fire with a warm glass of brandy...). Let's take that water-ballast boat, with ballast filled, and neglect the weight of the fibreglass below the water ballast (it's constant in all this so can be disregarded for the purposes of comparison). Now, let's TAKE IT AWAY. In your mind, make the hull of the boat go OVER the water ballast instead of UNDER it. Now, what's changed? Water, not weighing more than water, will not sink if the hull is removed from below it. So more practically, we can see that the water ballast does not exert downward pressure on the hull (as long as it's below the waterline). If you like, you can prove this by poking a hole in the hull underwater and see that the water doesn't run out
I think the problem in the link's analysis is that they're looking at CG, based on the boat's weight (as in air). But I think they need to be looking at it's DISPLACEMENT. I'm not sure how one can insert the wisdom of my thought experiments into the CG/CB analysis - any suggestions?
druid
http://h260.com/water_ballast/water_ballast_index.html