What is the maximum load a porta-power system can lift if the mechanical advantage of the handle is 15/1 with a ram diameter of 3 inches and a force of 50 lbs applied?

To determine the maximum load a porta-power system can lift, we can use the formula that incorporates both the mechanical advantage of the handle and the force applied to the system.

The mechanical advantage is given as 15:1, meaning for every 1 unit of force applied, the system can lift 15 units of load. In this scenario, if a force of 50 lbs is applied, we can calculate the total lifting capacity by multiplying the applied force by the mechanical advantage.

First, we calculate the lift:

[ \text{Lift} = \text{Mechanical Advantage} \times \text{Applied Force} ]

Substituting the given values:

[ \text{Lift} = 15 \times 50 ]

[ \text{Lift} = 750 , \text{lbs} ]

However, since the load is significantly influenced by the area of the ram and the ram's pressure, we need to find out how much load this translates to. The area of the ram can be calculated using the formula for the area of a circle:

[ \text{Area} = \pi \left( \frac{d}{2} \right)^2 ]

For a ram diameter of 3 inches: