A load of 30N is raised 2m when effort 10N moves through 8m calculate the mechanical advantage ,velocity ratio and efficiency of the machine
To calculate the mechanical advantage (MA), we divide the load (L) by the effort (E):
MA = L / E
Given:
Load (L) = 30 N
Effort (E) = 10 N
MA = 30 N / 10 N
MA = 3
Therefore, the mechanical advantage is 3.
To calculate the velocity ratio (VR), we divide the distance moved by the effort (D_e) by the distance moved by the load (D_l):
VR = D_e / D_l
Given:
Effort distance (D_e) = 8 m
Load distance (D_l) = 2 m
VR = 8 m / 2 m
VR = 4
Therefore, the velocity ratio is 4.
To calculate efficiency, we divide the work output by the work input and multiply by 100%:
Efficiency = (Work output / Work input) * 100%
Work output = Load (L) * Load distance (D_l)
Work input = Effort (E) * Effort distance (D_e)
Given:
Load (L) = 30 N
Effort (E) = 10 N
Effort distance (D_e) = 8 m
Load distance (D_l) = 2 m
Work output = 30 N * 2 m
Work output = 60 N·m
Work input = 10 N * 8 m
Work input = 80 N·m
Efficiency = (60 N·m / 80 N·m) * 100%
Efficiency = 0.75 * 100%
Efficiency = 75%
Therefore, the efficiency of the machine is 75%.