To calculate the mechanical advantage (MA), velocity ratio (VR), and efficiency of the lever system, we can use the following formulas:
1. Mechanical Advantage (MA):
MA = Load / Effort
2. Velocity Ratio (VR):
VR = Load Arm / Effort Arm
3. Efficiency:
Efficiency = (MA / VR) * 100
Given:
Load (L) = 1000 N
Effort (E) = 400 N
Load Arm (LA) = 8 cm = 0.08 m
Effort Arm (EA) = 24 cm = 0.24 m
Now, let's calculate the values:
1. Mechanical Advantage (MA):
MA = Load / Effort = 1000 N / 400 N = 2.5
2. Velocity Ratio (VR):
VR = Load Arm / Effort Arm = 0.08 m / 0.24 m = 0.3333
3. Efficiency:
Efficiency = (MA / VR) * 100 = (2.5 / 0.3333) * 100 = 750%
The mechanical advantage is 2.5, the velocity ratio is 0.3333, and the efficiency is 750%.