To find the effort needed to lift a load of 300 N with a machine that has a velocity ratio of 6 and an efficiency of 80%, we can use the formula:
\[ \text{Effort} = \frac{\text{Load}}{\text{Mechanical Advantage}} \]
Where:
- Mechanical Advantage (MA) can be calculated using the formula:
\[ \text{Mechanical Advantage} = \text{Velocity Ratio} \times \text{Efficiency} \]
First, we need to express the efficiency as a decimal.
- Efficiency = 80% = 0.80
Now, we can calculate the Mechanical Advantage:
\[ \text{Mechanical Advantage} = 6 \times 0.80 = 4.8 \]
Next, we can calculate the effort required:
\[ \text{Effort} = \frac{\text{Load}}{\text{Mechanical Advantage}} = \frac{300, \text{N}}{4.8} \]
Now performing the calculation:
\[ \text{Effort} = \frac{300}{4.8} \approx 62.5 , \text{N} \]
Therefore, the effort needed to lift a load of 300 N with this machine is approximately 62.5 N.