Answer:
1) The Mechanical Advantage of the lever is 3
2) The velocity ratio of the lever is 4
3) The efficiency of the lever is 75%
Explanation:
A lever is a simple machine that is used to lift a heavy load with a little effort or force
The mechanical advantage is the ratio of the force output to the force input
The given parameters of the lever are;
The length of the lever = 1 m
The weight of the load (force output), [tex]F_r[/tex] = 600 N
The effort applied (force input), [tex]F_e[/tex] = 200 N
1) The Mechanical Advantage, MA of the lever is given as follows;
[tex]MA = \dfrac{F_r}{F_e} = \dfrac{600 \ N}{200 \ N} = 3[/tex]
The Mechanical Advantage, MA of the lever = 3
2) The velocity ratio, V.R., is the ratio of the distance moved by the effort, [tex]L_e[/tex], to the distance moved by the load, [tex]L_r[/tex]
For the lever, we have;
The distance of the load from the fulcrum, [tex]L_r[/tex] = 20 cm = 0.2 m
Therefore, we have;
The distance of the effort from the fulcrum, [tex]L_e[/tex] = 1 m - 0.2 m = 0.8 m
From which we have;
[tex]V.R.= \dfrac{L_e}{L_r} = \dfrac{0.8 \ m}{0.2 \ m} = 4[/tex]
The velocity ratio of the lever = 4
3) The efficiency, η, is given as follow;
[tex]\%Efficiency, \, \eta = \dfrac{M.A.}{V.R.} \times 100 = \dfrac{3}{4} \times 100 = 75\%[/tex]
The efficiency of the lever is 0.75 or 75%.
