A machine with an efficiency of 100% is said to be efficient.
a) If a lever has a distance of 4m from the pivot to where a load of 500N is applied and a distance of 1m from the pivot to where the load is,calculate the efficiency of the lever when height moved by effort i 3m and height moved by load is 1m
actual MA= 3/1
theoritical MA= 4/1
efficiency=3/4
To calculate the efficiency of a lever, we need to understand that efficiency is defined as the ratio of output work to input work. In this case, the input work is the work done by the effort (force applied to the lever), and the output work is the work done by the load.
First, let's calculate the input work done by the effort. The formula for work is:
Work = Force × Distance
In this case, the force is the effort applied to the lever, and the distance is the height moved by the effort. So, the input work can be calculated as follows:
Input Work = Effort Force × Height moved by Effort
Now, let's calculate the output work done by the load. The formula for work is the same, but the force is the load applied to the lever, and the distance is the height moved by the load. So, the output work can be calculated as follows:
Output Work = Load Force × Height moved by Load
Using the given values:
Effort Force = ?
Height moved by Effort = 3m
Load Force = 500N
Height moved by Load = 1m
To find the unknown Effort Force, we can rearrange the input work equation:
Input Work = Effort Force × Height moved by Effort
Effort Force = Input Work / Height moved by Effort
Similarly, the output work equation can be rearranged:
Output Work = Load Force × Height moved by Load
Load Force = Output Work / Height moved by Load
Since the efficiency is defined as the ratio of output work to input work, we can calculate it using the formulas:
Efficiency = (Output Work / Input Work) × 100
So, let's plug in the given values and calculate the efficiency:
Input Work = Effort Force × Height moved by Effort
Input Work = Effort Force × 3m
Output Work = Load Force × Height moved by Load
Output Work = 500N × 1m
Efficiency = (Output Work / Input Work) × 100
Efficiency = (500N × 1m) / (Effort Force × 3m) × 100
Simplifying the equation:
Efficiency = (500N) / (Effort Force × 3) × 100
Now you can solve the equation by substituting the given values for the load force and finding the effort force. Once the effort force is known, you can substitute it back into the efficiency equation to calculate the efficiency of the lever.