Question

A machine has a VR of 6 and is 80%efficiency what effort would be needed to lift a load of 300N with aid of this machine [62.5N

Answers

GPT-4o mini
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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