How Much Force to Roll 110,000 lbs Up a 2.68 Degree Slope?

In summary, to calculate the total pull required for a given weight to roll up an incline, use the formula: Total Pull = Weight x sin(Angle) + Friction Force.
  • #1
tradewind
2
0
Wondering if anyone has a good simple formula for rolling a weight up an incline? and the actual pull required for a given weight.

The situation is a marine railway comprised of railroad rails laid at approx. 2.68 degree slope into the water upon which a rolling frame, weighing approx. 10,000 lbs. plus the weight of the vessel resting upon it ( will be maximum weight of 100,000 lbs+ 10,000= 110,000 lbs)
rolling on 8-8" diameter rail wheels from complete submersion to a dry condition at the top of the ramp, so obviously the initial weight will be less than the 110,000 lbs. due to the water displacement but with the full weight increasing as the object is removed from the water.

What is the total pull required to roll this weight up the slope?
 
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  • #2
The total pull required to roll a weight up an incline can be calculated using the following formula: Total Pull = Weight x sin(Angle) + Friction Force. In your case, the total pull required to roll a weight of 110,000 lbs up a slope of 2.68 degrees is: Total Pull = 110,000 lbs x sin(2.68) + Friction Force = 110,000 lbs x 0.047 + Friction Force = 5,170 lbs + Friction Force. The amount of friction force depends on the type of surface you are rolling the weight up and the materials used for the roller wheels.
 

Related to How Much Force to Roll 110,000 lbs Up a 2.68 Degree Slope?

1. How does the weight of the object affect its ability to roll up a slope?

The weight of an object plays a significant role in its ability to roll up a slope. Heavier objects have more gravitational potential energy which must be overcome by an external force, such as a person pushing or pulling the object, in order to move it up the slope. Therefore, the heavier the object, the more difficult it will be to roll up the slope.

2. What factors besides weight can affect how easily an object can be rolled up a slope?

Besides weight, the shape and size of the object can also affect its ability to roll up a slope. Objects with a larger surface area or a shape that creates more resistance, such as a cube, will have a harder time rolling up a slope compared to a smaller or more streamlined object, such as a sphere.

3. Can the angle of the slope affect how easily an object can be rolled up it?

Yes, the angle of the slope can greatly affect how easily an object can be rolled up it. As the angle of the slope increases, so does the force of gravity pulling the object down. This means that steeper slopes will require more force to be applied to the object in order to overcome the force of gravity and roll up the slope.

4. How does friction play a role in rolling a weight up a slope?

Friction is a force that opposes motion, and it can greatly affect the ability of an object to roll up a slope. If there is a lot of friction between the object and the slope, it will be more difficult to move the object up the slope. However, reducing friction, such as by using a lubricant, can make it easier to roll the object up the slope.

5. Is rolling an object up a slope considered a form of work?

Yes, rolling an object up a slope is considered a form of work. Work is defined as a force acting on an object to move it a certain distance. In this case, the force is the external force applied to the object to roll it up the slope, and the distance is the height of the slope. Therefore, work is being done to move the object up the slope.

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