A load of 30N is raised 2m when effort 10N moves through 8m calculate the mechanical advantage ,velocity ratio and efficiency of the machine

1 answer

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%.