A machine with a mechanical advantage of 5 moves a load by 2m when the effort moved by 3m .find (a)The efficiency of the machine. (b)The effort put into the machine
To find the efficiency of the machine, we need to know the input and output work. The formula for efficiency is:
Efficiency = (Output work / Input work) * 100
To calculate the input work, we use the formula:
Input work = effort * distance moved by effort
Given that the effort moves by 3m, we use this value to calculate the input work:
Input work = effort * 3
To find the output work, we need to know the load (resistance) and the distance moved by the load. The formula for output work is:
Output work = load * distance moved by load
Given that the load moves by 2m and the mechanical advantage of the machine is 5, we can calculate the load using the formula:
Load = effort / Mechanical advantage
Load = effort / 5
Substituting the values, we get:
Output work = (effort / 5) * 2
Now we have all the information needed to calculate the efficiency of the machine.
(a) To find the efficiency, we substitute the input work and output work into the efficiency formula:
Efficiency = (Output work / Input work) * 100
(b) To calculate the effort put into the machine, we simply use the value of effort:
Effort = effort
Let's calculate both the efficiency and effort:
(a) Efficiency = ((effort / 5) * 2 / (effort * 3)) * 100
(b) Effort = effort
Please provide the value of the effort to calculate the specific numeric values.