A machine moves a load of 30 when an effort of 200N is applied. The efficiency of the machine is? Show full working
answer
To find the efficiency of a machine, we can use the following formula:
Efficiency = (Work output / Work input) x 100%
Work output is the product of the load and the distance it is moved, Woutput = Load x Distance.
Work input is the product of the effort and the distance it is applied over, Winput = Effort x Distance.
Given:
Effort = 200 N
Load = 30
Distance moved by the load = D
Work output = Load x Distance = 30 x D
Work input = Effort x Distance = 200 x D
Efficiency = (Work output / Work input) x 100%
Efficiency = (30 x D) / (200 x D) x 100%
Simplifying the expression, the distance cancels out and we are left with:
Efficiency = 30 / 200 x 100%
Efficiency = 15%
Therefore, the efficiency of the machine is 15%.
To find the efficiency of a machine, we can use the following formula:
Efficiency = (Output / Input) x 100%
In this case, the output refers to the load being moved (30) and the input refers to the effort applied (200N). Now, let's calculate the efficiency:
Efficiency = (30 / 200) x 100%
Efficiency = 0.15 x 100%
Efficiency = 15%
Therefore, the efficiency of the machine is 15%.