To calculate the power consumed by the shaper, we can use the formula for power:
\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \]
First, we need to calculate the work done by the shaper. The work done (in joules) when a force is applied can be calculated using the formula:
\[ \text{Work} = \text{Force} \times \text{Distance} \]
In this case, the cutting force (F) is given as 950 N, and the stroke length (D) is 140 mm, which we need to convert to meters:
\[ D = 140 , \text{mm} = 140 \times 10^{-3} , \text{m} = 0.14 , \text{m} \]
Now we can calculate the work done:
\[ \text{Work} = 950 , \text{N} \times 0.14 , \text{m} = 133 , \text{J} \]
Next, we know the time (t) taken to complete the process is 5 s. Now we can calculate the power:
\[ \text{Power} = \frac{133 , \text{J}}{5 , \text{s}} = 26.6 , \text{W} \]
Thus, the power consumed by the shaper is approximately 26.6 Watts.
1 answer