Good informaiton
Guys, I asked my brother in law a question about the force on our pylons. He holds a Doctorates Degree in Physics and teaches at a University in Missouri.
This was his reply to my question My question is at the end of his reply. I just copied the email that he sent back a reply on to me.
This is a lot more complex than it seems. The force on the rope is a result of the drag force between the tube of kids and the water. Imagine the tube at rest in the water. The bottom of the tube sits slightly below the surface. As the tube moves forward in the water, it must push the water in front of the tube out of the way. In effect, it is accelerating the water to the speed of the tube.
Assuming the tube is about 6 feet wide and 3 feet deep and weighs 350 lbs, the tube would sit about 3 inches deep in the water. If this condition remains while it is moving, the tension in the rope could be about 22 tons (44,000 lbs). However, I would expect that as the tube is moving the tension would pull the tube slightly out of the water to lessen this force. To completely pull the tube out of the water, would require the vertical component of the tension be equal to the weight of the tube. For a 75' rope attached about 4' above the water surface, this force would be 6500 lbs. The minimum tension that I would expect is a balance between these two possibilities. In this case, I would calculate the minimum tension to be about 2600 lbs.
In this calculation I assumed a uniform distribution in the tube. However, if I were in one half of the tube and my 30lbs daughter was in the other, the drag force on my side would be much greater than on hers, causing the tube to flip. Also, this assumes the water is smooth so that the tube is just skimming the top, the force would be greater if the water is choppy or the tube is bouncing around in the wake.
I really can't give you a better guess than this.
Michael
Mike, I am trying to figure out the force put on my ski pylon on my boat, If I have a 75' rope and I am going 25 MPH on the water pulling a tube of kids that weights 350lbs. What would the force be on my pylon where the rope attaches to the boat?
Guys, I asked my brother in law a question about the force on our pylons. He holds a Doctorates Degree in Physics and teaches at a University in Missouri.
This was his reply to my question My question is at the end of his reply. I just copied the email that he sent back a reply on to me.
This is a lot more complex than it seems. The force on the rope is a result of the drag force between the tube of kids and the water. Imagine the tube at rest in the water. The bottom of the tube sits slightly below the surface. As the tube moves forward in the water, it must push the water in front of the tube out of the way. In effect, it is accelerating the water to the speed of the tube.
Assuming the tube is about 6 feet wide and 3 feet deep and weighs 350 lbs, the tube would sit about 3 inches deep in the water. If this condition remains while it is moving, the tension in the rope could be about 22 tons (44,000 lbs). However, I would expect that as the tube is moving the tension would pull the tube slightly out of the water to lessen this force. To completely pull the tube out of the water, would require the vertical component of the tension be equal to the weight of the tube. For a 75' rope attached about 4' above the water surface, this force would be 6500 lbs. The minimum tension that I would expect is a balance between these two possibilities. In this case, I would calculate the minimum tension to be about 2600 lbs.
In this calculation I assumed a uniform distribution in the tube. However, if I were in one half of the tube and my 30lbs daughter was in the other, the drag force on my side would be much greater than on hers, causing the tube to flip. Also, this assumes the water is smooth so that the tube is just skimming the top, the force would be greater if the water is choppy or the tube is bouncing around in the wake.
I really can't give you a better guess than this.
Michael
Mike, I am trying to figure out the force put on my ski pylon on my boat, If I have a 75' rope and I am going 25 MPH on the water pulling a tube of kids that weights 350lbs. What would the force be on my pylon where the rope attaches to the boat?
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