Convert unit measures for a problem from zill bookI have the solution, but I don't understand it, I don't understand the part which implies the conversion of unit measures. I know that I can g=32⋅fts2, but then what? So my questions are:1. how to compute (convert unit measures) 4pound32⋅fts2 to become 18?pound is a unit measure for weight, ft is for distance (like meter), s is for time. So, how they (in image) simplify that raport - division?2. Then, for the next step: I know that ω2=km, with m=18 slug and k=16lbft. But what about this division:km=16lbft18slug=128lb⋅slugftAnd again, how can I make this division? lb and slug are units of measure for weight and ft is for distance. How can I reduce them?

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Convert unit measures for a problem from zill bookI have the solution, but I don&#039;t understand it, I don&#039;t understand the part which implies the conversion of unit measures. I know that I can g=32⋅fts2, but then what? So my questions are:1. how to compute (convert unit measures) 4pound32⋅fts2 to become 18?pound is a unit measure for weight, ft is for distance (like meter), s is for time. So, how they (in image) simplify that raport - division?2. Then, for the next step: I know that ω2=km, with m=18 slug and k=16lbft. But what about this division:km=16lbft18slug=128lb⋅slugftAnd again, how can I make this division? lb and slug are units of measure for weight and ft is for distance. How can I reduce them?

Nunnaxf18 · Accepted Answer

Step 1As I said in my comment, lb is a measure for weight, i.e., a measure for force, while slug is a measure for mass. The problem is that in common talk we do not make a distinction between them. Given that&amp;nbsp;1&amp;nbsp;slug=1&amp;nbsp;lb&amp;nbsp;s2ft,it&#039;s easy to obtainStep 216lbft18slug=128lbftlb&amp;nbsp;s2ft=1281s2.As I&#039;m not a physicist myself, I don&#039;t know if these are the units to be expected.

cineworld93uowb · Accepted Answer

Step 1Were the problem and solution written by different people? There&#039;s no need to commit to a new mass unit if you know the relations between weight&amp;nbsp;(Fg), mass (m), gravitational acceleration (g), angular frequency&amp;nbsp;(ω), the spring constant (k), and the period (T):Fg=mgω2=kmT=2πω.Step 2That&#039;s because you can eliminate m and&amp;nbsp;ω&amp;nbsp;to getT=2πFggk&amp;nbsp;≈2π4&amp;nbsp;lbf(32&amp;nbsp;ft&amp;nbsp;s−2)(16&amp;nbsp;lbf&amp;nbsp;ft−1)&amp;nbsp;≈0.6&amp;nbsp;s.The solution you provided has carelessly lost units.

Convert unit measures for a problem from zill

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