A pulley system with IMA of 4 requires a force of 15 New Ton tol lift a load of 45 New Ton. Find the efficiency of the machine
45 divided by 4 which is equal to 11.25 and 100 times 11.25 divided by 15 , we can get 75%
output work / input work then multiply by 100 to get the efficiency.
Ideal mechanical advantage = 4
so
ideally 45 Newtons weight requires 45/4 = 11.25 Newtons (NOT NEW TONS, named after Issac Newton) but it took 15 Newtons
so eff = 100 * 11.25 /15 = 75%
To find the efficiency of the machine, you need to know the Input Work (WI) and the Output Work (WO).
The Input Work (WI) is the work done by the person or machine operating the pulley system. It is calculated using the formula:
WI = Force x Distance
In this case, the force required to lift the load is given as 15 New Tons, and the distance over which the force is applied is not provided. Without this information, we cannot determine the exact value of the Input Work (WI).
The Output Work (WO) is the work done by the pulley system to lift the load. It is calculated using the formula:
WO = Load x Distance
Here, the load being lifted is given as 45 New Tons, but the distance over which the load is lifted is not provided. Without this information, we cannot determine the exact value of the Output Work (WO).
Since we do not have the necessary information to calculate the Input Work (WI) and the Output Work (WO), we cannot determine the efficiency of the machine.