To determine the effort required to lift a load using a machine with a certain velocity ratio (VR) and efficiency, we can use the following formula:
\[ \text{Effort} = \frac{\text{Load}}{\text{Efficiency} \times \text{VR}} \]
In this case, we have:
- Load (\(L\)) = 300 N
- Efficiency (\(η\)) = 80% = 0.80
- Velocity Ratio (\(VR\)) = 6
Substituting these values into the formula gives:
\[ \text{Effort} = \frac{300 , \text{N}}{0.80 \times 6} \]
Calculating the denominator:
\[ 0.80 \times 6 = 4.8 \]
Now substituting back into the equation:
\[ \text{Effort} = \frac{300 , \text{N}}{4.8} \]
Calculating the effort:
\[ \text{Effort} = 62.5 , \text{N} \]
Thus, the effort needed to lift a load of 300 N with the aid of this machine is indeed 62.5 N.
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