Calculate the efficiency of a machine with velocity ratio of 5 if a load of 100N is to be lifted by an effort of 50N
should take 100 / 5 = 20 N
actually takes 50 N
so if you move your hand one meter work done (input) = 50 * 1 = 50 Joules
ideal work done (output)= 20 * 1 = 20 Joules
eff = 100 * output work / input work = 100 * 20/50 = 40%
To solve
To calculate the efficiency of a machine, use the following formula:
Efficiency = (Output work/ Input work) * 100
In this case, the output work is the work done to lift the load (100N) and the input work is the work done by the effort (50N).
Input work = Effort * distance moved by effort
Output work = Load * distance moved by load
Given that the velocity ratio is 5, it means that the distance moved by the effort is five times the distance moved by the load.
Let's assume the distance moved by the load is d.
So, the distance moved by the effort is 5d.
Input work = Effort * 5d = 50N * 5d = 250Nd
Output work = Load * d = 100N * d = 100Nd
Now, we can substitute these values into the efficiency formula:
Efficiency = (Output work/ Input work) * 100
Efficiency = (100Nd / 250Nd) * 100
Efficiency = 0.4
Therefore, the efficiency of the machine is 40%.
To calculate the efficiency of a machine, you need to know the formula for efficiency and the values of the load and effort applied.
The formula for efficiency is:
Efficiency = (Output / Input) x 100%
Where:
- Output is the useful work or energy produced by the machine
- Input is the work or energy put into the machine
In this case, the load of 100N is the output, and the effort of 50N is the input.
First, you need to find the velocity ratio of the machine, which is given as 5. The velocity ratio is the ratio of the distance moved by the load to the distance moved by the effort. In other words, it tells you how much the load is multiplied or divided by the machine.
Once you have the velocity ratio, you can use it to calculate the work done by the load and the work done by the effort.
Work done by the load = Load × Distance moved by the load
Work done by the effort = Effort × Distance moved by the effort
Since the distance moved by the load is always equal to the distance moved by the effort, you can use the same distance for both calculations.
Now, let's calculate the work done by the load and the work done by the effort.
Work done by the load = 100N × Distance
Work done by the effort = 50N × Distance
To find the efficiency, divide the output (work done by the load) by the input (work done by the effort), and multiply the result by 100%.
Efficiency = (Work done by the load / Work done by the effort) x 100%
For this specific problem, you need more information about the distance moved by the load (or effort) to proceed with the calculations. Without that information, it is not possible to provide a specific value for the efficiency.