A machine with velocity ratio 30 moves a lot 3000N when an effort of 200 is applied,what is the efficiency of the machine
To find the efficiency of a machine, we need to know both the input work and the output work of the machine. The input work is the work done by the effort applied to the machine, and the output work is the work done by the machine on the load.
In this case, the effort applied to the machine is 200 N, and the load being moved is 3000 N. The velocity ratio of the machine is given as 30.
The formula to calculate the efficiency of a machine is:
Efficiency = (Output Work / Input Work) * 100
To calculate the output work, we can use the formula:
Output Work = Load * Distance
In this case, the load is 3000 N and the distance moved is not specified. Let's assume for the sake of calculation that the machine moves the load through a distance of 1 meter.
Output Work = 3000 N * 1 m = 3000 Nm = 3000 J (since work is measured in Joules)
To calculate the input work, we can use the formula:
Input Work = Effort * Distance
In this case, the effort is 200 N and the distance moved is the same as assumed before, 1 meter.
Input Work = 200 N * 1 m = 200 Nm = 200 J (since work is measured in Joules)
Now we can substitute the values into the efficiency formula:
Efficiency = (3000 J / 200 J) * 100
= 15 * 100
= 1500%
The efficiency of the machine is 1500%.