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**.
\[
\text{Effort} = \frac{\text{Load}}{\text{Efficiency} \times \text{VR}}
\]
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**.