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45 votes
The wire feed controls the amperage during the welding process. A control knob labeled in metric units shows a maximum wire-feed speed of 350 mm/sec. What is the maximum speed in inches per minute? (Round to two significant digits.)

User Jayhendren
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1 Answer

27 votes
27 votes

Consider that the maximum wire-feed speed is 350 mm/sec,


S_(\max )=350\text{ }\frac{\operatorname{mm}}{\sec }

Its is asked to convert the expression into inches per minute.

Consider the following conversions,


\begin{gathered} 1\text{ mm}=(1)/(25.4)\text{ inch} \\ 1\text{ sec}=(1)/(60)\text{ min} \end{gathered}

Then, it follows that,


\begin{gathered} 1\text{ }\frac{\operatorname{mm}}{\sec }=\frac{((1)/(25.4))\text{ inch}}{((1)/(60))\text{ min}} \\ 1\text{ }\frac{\operatorname{mm}}{\sec}=(1)/(25.4)*(60)/(1)\frac{\text{ inch}}{\text{ min}} \\ 1\text{ }\frac{\operatorname{mm}}{\sec}\approx2.3622\frac{\text{ inch}}{\text{ min}} \end{gathered}

Substitute this conversion of units in the expression for speed,


\begin{gathered} S_(\max )=350\text{ }\frac{\operatorname{mm}}{\sec } \\ S_(\max )=350\text{ }\cdot\text{(1 }\frac{\operatorname{mm}}{\sec}) \\ S_(\max )=350\cdot(2.3622\text{ }\frac{\text{ inch}}{\min }) \\ S_(\max )\approx826.77\text{ }\frac{\text{ inch}}{\min} \end{gathered}

Thus, the maximum speed is equivalent to 826.77 inches per minute.

User LargeGlasses
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