A block and tackle system with six pulley system on which an effort of 50N is just able to lift a load of weight W.if the efficiency of the machine is 40%,find the value of W.
e = W/E = 0.4.
W/50 = 0.4,
W =
To find the value of W, we need to understand the concept of efficiency first.
Efficiency is defined as the ratio of the useful output of a machine to the input applied. In this case, the output is the work done in lifting the load (W), and the input is the effort applied (50N).
Efficiency = (Useful output / Input) * 100%
Given that the efficiency of the machine is 40% and the effort applied is 50N, we can write the equation for efficiency as:
40% = (W / 50N) * 100%
To solve for W, we need to isolate it on one side of the equation. Let's rearrange the equation:
40% = (W / 50N) * 100%
0.4 = W / 50N
Now, cross multiply the equation:
0.4 * 50N = W
20N = W
Therefore, the value of W is 20N.