Mechanical advantage has no unit, why?
Mechanical advantage (MA) is theratio of Load to Effort. Both load and effort are forces, i.e., MA is the ratio of two same physical quantities. So, it has no unit.
A load of 600N is lifted by a lever by using the effort of 300N. If load distance and effort distance are 20 cm and 60 cm respectively. Calculate the mechanical advantage, velocity ratio and efficiency of the lever.
A load of 600N is lifted by a lever by using the effort of 300N. If load distance and effort distance are 20 cm and 60 cm respectively. Calculate the mechanical advantage, velocity ratio and efficiency of the lever.
Solution:
Load (L) = 600 N
Effort (E) = 300 N
Load distance (LD) = 20 cm
Effort distance (ED) = 60 cm
Mechanical Advantage (MA) = L/E = 600N / 300N = 2
Velocity Ratio (VR) = ED / LD = 60cm / 20cm = 3
Efficiency = MA / VR * 100
= 2/3 * 100
= 66.67%
Hence, the required MA of the machine is 2, its VR is 3 and efficiency is 66.67%.