A construction crew lifts approximately 942 lb of material several times during a day, from a flatbed truck to a 32-ft rooftop. A block and tackle system with 66 lb of effort force is designed to lift the materials. What is the Actual Mechanical Advantage of the system? 
Round final answers to the nearest hundredth

The Actual Mechanical Advantage (AMA) of a system is given by the ratio of the resistance force (the weight of the load being lifted) to the effort force (the force applied to lift the load). Mathematically, the AMA can be calculated using the following formula:

\[
\text{AMA} = \frac{\text{Resistance Force}}{\text{Effort Force}}
\]

Given values:

- Resistance Force (\( R \)) = 942 lb
- Effort Force (\( E \)) = 66 lb

Substituting these values into the formula:

\[
\text{AMA} = \frac{942}{66}
\]

Let's calculate this:The Actual Mechanical Advantage (AMA) of the system is approximately **14.27**.

Would you like more details or have any questions? Here are some related questions to consider:

1. What is the Ideal Mechanical Advantage (IMA) of this system?
2. How does the AMA compare to the IMA in real-life applications?
3. What factors can affect the AMA of a block and tackle system?
4. How would changing the effort force impact the AMA?
5. What safety considerations should be made when using a block and tackle system?

**Tip:** AMA often accounts for real-world factors like friction and wear, making it usually lower than the Ideal Mechanical Advantage (IMA).

A construction crew lifts approximately 942 lb of material several times during a day, from a flatbed truck to a 32-ft rooftop. A block and tackle system with 66 lb of effort force is designed to lift the materials. What is the Actual Mechanical Advantage of the system? Round final answers to the nearest hundredth.

Learn how to calculate the Actual Mechanical Advantage (AMA) of a block and tackle system with a resistance force of 942 lb and an effort force of 66 lb. This problem covers key concepts in mechanics and is suitable for students in Grades 9-12.

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