A machine with velocity 30 move a load 3000 neuton when an effort of 200 neuton is applied what is the efficiency of the machine
To determine the efficiency of a machine, we need to calculate the ratio of output work to input work.
In this case, the output work is the work done on the load, which is the product of the force applied (200 N) and the distance moved by the load. However, we are not given the distance moved by the load, so we need to calculate it using the velocity and the time it takes to move the load.
To find the time it takes to move the load, we divide the distance by the velocity. The distance can be calculated by dividing the work done on the load by the force applied:
Distance = Work / Force
Distance = 3000 N / 200 N
Distance = 15 meters
Now that we have determined the distance, we can calculate the time it takes for the load to be moved:
Time = Distance / Velocity
Time = 15 m / 30 m/s
Time = 0.5 seconds
Now that we have the time, we can calculate the output work:
Output Work = Force * Distance
Output Work = 200 N * 15 m
Output Work = 3000 N*m
The input work is the product of the force applied and the distance covered by the machine itself, which is the velocity multiplied by the time taken:
Input Work = Force * Distance
Input Work = 30 m/s * 0.5 s
Input Work = 15 N*m
Now we can calculate the efficiency of the machine:
Efficiency = (Output Work / Input Work) * 100%
Efficiency = (3000 N*m / 15 N*m) * 100%
Efficiency = 20000%
Therefore, the efficiency of the machine is 20000%.