To calculate the effort needed to raise a load when given the velocity ratio (VR) and efficiency (%), we can use the following formula:
\[ \text{Effort} = \frac{\text{Load}}{\text{Efficiency} \times \text{Velocity Ratio}} \]
Where:
- Load = 120 N
- Efficiency = 75% = 0.75 (in decimal form)
- Velocity Ratio (VR) = 6
Now, substituting the values into the formula:
\[ \text{Effort} = \frac{120 , \text{N}}{0.75 \times 6} \]
Calculating the denominator:
\[ 0.75 \times 6 = 4.5 \]
Now substitute this back into the formula:
\[ \text{Effort} = \frac{120 , \text{N}}{4.5} \]
Calculating the effort:
\[ \text{Effort} = 26.67 , \text{N} \quad (\text{approximately}) \]
Thus, the effort needed to raise a load of 120 N is approximately 26.67 N.
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