a man lifts various loads with the same lever. The distance of the applied force from the fulcrum is 2.50 m and the distance from the fulcrum to the load is 0.500 m. A graph of resistance force vs. effort force is shown. What is the mechanical advantage of the lever? What is the ideal mechanical advantage of the lever? What is the efficiency of the lever?
No graph. But is should show MA=5 is ideal.
To find the mechanical advantage (MA) of the lever, we need to use the formula:
MA = Resistance force (load) / Effort force (applied force)
From the given graph, we can determine the resistance force and effort force values. The mechanical advantage is the ratio of these forces.
To find the ideal mechanical advantage (IMA) of the lever, we can use the formula:
IMA = Distance of applied force from fulcrum / Distance of load from fulcrum
Again, we have the required distances from the given information.
To find the efficiency of the lever, we can use the formula:
Efficiency = (MA / IMA) * 100
Here, we will use the values obtained for MA and IMA to calculate the efficiency.
Let's substitute the values into the formulas to find the mechanical advantage, ideal mechanical advantage, and efficiency of the lever.
1. Mechanical Advantage (MA):
From the graph, find the resistance force (load) and effort force (applied force) values. Divide the resistance force by the effort force to get the mechanical advantage.
2. Ideal Mechanical Advantage (IMA):
Divide the distance of the applied force from the fulcrum by the distance of the load from the fulcrum.
3. Efficiency:
Divide the mechanical advantage (MA) by the ideal mechanical advantage (IMA) and multiply by 100 to get the efficiency as a percentage.
By following these steps, you can calculate the mechanical advantage, ideal mechanical advantage, and efficiency of the lever.