Question

calculate the following mechanical advantages
$m.a. = \frac{load force}{effort force}$
1.
effort arm = 80 cm
load arm 16 cm
2.
effort arm = 8 cm
load arm 64 cm
3.
effort arm = 200 cm
load arm 40 cm
4.
load force = 25 n
effort force 150 n
5.
load force = 9 n
effort force 81 n
6.
load force = 30 n
effort force 600 n
7.
for questions 1 - 6, which ones resulted in a:
speed advantage:
force advantage:

Explanation:

Step1: Recall lever MA formula

For levers, $MA = \frac{\text{Effort Arm}}{\text{Load Arm}}$

Step2: Solve Q1: Calculate lever MA

$\text{Effort Arm}=80\ \text{cm}, \text{Load Arm}=16\ \text{cm}$
$MA = \frac{80}{16} = 5$

Step3: Solve Q2: Calculate lever MA

$\text{Effort Arm}=8\ \text{cm}, \text{Load Arm}=64\ \text{cm}$
$MA = \frac{8}{64} = 0.125$

Step4: Solve Q3: Calculate lever MA

$\text{Effort Arm}=200\ \text{cm}, \text{Load Arm}=40\ \text{cm}$
$MA = \frac{200}{40} = 5$

Step5: Solve Q4: Calculate force-based MA

$MA = \frac{\text{Load Force}}{\text{Effort Force}} = \frac{25}{150} = \frac{1}{6} \approx 0.167$

Step6: Solve Q5: Calculate force-based MA

$MA = \frac{9}{81} = \frac{1}{9} \approx 0.111$

Step7: Solve Q6: Calculate force-based MA

$MA = \frac{30}{600} = 0.05$

Step8: Classify speed/force advantage

• Speed Advantage: $MA < 1$ (Q2, Q4, Q5, Q6)
• Force Advantage: $MA > 1$ (Q1, Q3)

Answer:

1. $MA = 5$
2. $MA = 0.125$
3. $MA = 5$
4. $MA = \frac{1}{6} \approx 0.167$
5. $MA = \frac{1}{9} \approx 0.111$
6. $MA = 0.05$
7. Speed Advantage: Questions 2, 4, 5, 6

Force Advantage: Questions 1, 3