Answer to Question #222888 in Mechanics | Relativity for Mweemba

Question

During the filling operations the constant force against the work piece is 640nm. The file cuts over a length of 75mm in 0.25s. Calculate the power consumed at each cutting points

Answer 1

Explanations & Calculations

• Work is defined as the (for a constant force) $\qquad\qquad \begin{aligned} \small W&=F\times s \end{aligned}$
• Then the power is defined as

$\qquad\qquad \begin{aligned} \small P &=\small \frac{W}{\Delta t} \end{aligned}$

• Then we are up to calculate the needed power for this situation. Therefore,

$\qquad\qquad \begin{aligned} \small P &=\small \frac{F\times s}{\Delta t}\\ &=\small \frac{640mN\times 75mm}{0.25s}\\ &=\small \frac{0.64N\times 0.075m}{0.25s}\\ &=\small \bold{0.192\,W\approx 192\,mW} \end{aligned}$