A machine with a velocity ratio of 30 moves a load of 3000N when an effort of 200N is applied.the efficiency of the machine is what?
Victoria
50N
I do not
The efficiency is 50N
To calculate the efficiency of a machine, you need two values: the work output and the work input.
First, let's determine the work output. In this case, the load being moved is 3000N, and the distance it is moved is not provided. However, we can assume that the distance moved is equal to the mechanical advantage (velocity ratio) of the machine. So, the work output is calculated as:
Work Output = Load x Distance Moved
= 3000N x 30
= 90,000 joules
Now, let's determine the work input. The effort applied to the machine is 200N, and the distance the effort is applied over is again not provided. However, we can assume that the distance over which the effort is applied is equal to the mechanical advantage (velocity ratio) of the machine. So, the work input is calculated as:
Work Input = Effort x Distance Applied
= 200N x 30
= 6000 joules
Now, we can calculate the efficiency of the machine using the formula:
Efficiency = (Work Output / Work Input) x 100
Efficiency = (90000 joules / 6000 joules) x 100
= 15 x 100
= 1500%
Therefore, the efficiency of the machine is 1500%.
200*30 = 6000
but it only moved 3000, so its efficiency is 50%