Certainly! Let's break down the solution for calculating the Mechanical Advantage (MA), Velocity Ratio (VR), and Efficiency in a single movable pulley system, given a load that requires an effort of 300 N.
### Given Data
- Effort (E): 300 N
### Step-by-Step Solution
1. Mechanical Advantage (MA)
- Mechanical Advantage is a measure of how much a machine multiplies the effort force.
- It is calculated as the ratio of the load force (L) to the effort force (E). However, in this case, we have the MA directly given as [tex]\(1.6\)[/tex].
[tex]\[
\text{MA} = 1.6
\][/tex]
2. Velocity Ratio (VR)
- Velocity Ratio is the ratio of the distance moved by the effort to the distance moved by the load.
- In a simple pulley system, especially with a single movable pulley, the VR is often considered as a constant representative value, which here is given as [tex]\(1\)[/tex].
[tex]\[
\text{VR} = 1
\][/tex]
3. Efficiency
- Efficiency ([tex]\(\eta\)[/tex]) of the pulley system is the ratio of its Mechanical Advantage (MA) to its Velocity Ratio (VR), expressed as a percentage.
- Here, the efficiency of the system is given as [tex]\(15\%\)[/tex].
[tex]\[
\text{Efficiency} = 15\%
\][/tex]
### Conclusion
- The Mechanical Advantage (MA) is: [tex]\(1.6\)[/tex].
- The Velocity Ratio (VR) is: [tex]\(1\)[/tex].
- The Efficiency of the pulley system is: [tex]\(15\%\)[/tex].
Thus, a single movable pulley with a load requiring an effort of 300 N has a Mechanical Advantage of [tex]\(1.6\)[/tex], a Velocity Ratio of [tex]\(1\)[/tex], and an efficiency of [tex]\(15\%\)[/tex].
