Q2P - Fundamentals Of Physics

Question

Question: A gry is an old English measure for length, defined as 1/10  of a line, where line is another old English measure for length, defined as 1/12  inch. A common measure for length in the publishing business is a point, defined as 1/72   inch. What is an area of 0.50gry² in points squared (points²)

Step-by-Step Solution

Answer

Answer

 

The area of  0.50gry² in  is  0.18 points².

Step 1: Given data

The conversion factors given here are listed below:

 $$\begin{gathered} \text{1gry =}\frac{1}{10}\text{line} \\ \text{1line=}\frac{1}{12}\text{inch} \\ \text{1point =}\frac{1}{72}\text{inch} \\ \text{1inch =72 points} \end{gathered}$$

Step 2: Understanding the conversion factors

Every measurement can be attributed to different units. Such units may be converted between them using a conversion factor.

 

Calculate the conversion factor for gry to points using the given information in step 1.

 

Therefore,

 $$\begin{gathered} {\text{ 1 gry}}^2\text{ =}\left[\frac{1}{10}\text{line×}\frac{1}{1line}\text{×}\frac{1}{12}\text{inch×}\frac{1}{1inch}\text{i×72 points} \\ \right]\text{ ... (i) } \\ =0.36 point{s}^2 \\ {\text{Thus, 1 gry}}^2\text{ is equivalent to }0.36 point{s}^2\text{ .} \end{gathered}$$

Step 3: Determination of the area in points 2 .

Use the conversion factor in equation (i) to convert the area from gry² to point².

 $$\begin{gathered} {\text{0.50 gry}}^2{\text{=0.50 gry}}^2\text{×}\frac{0.36 point{s}^2}{1gr{y}^2} \\ {\text{ =0.18 points}}^2 \end{gathered}$$

Thus, 0.50 gry² is equivalent to  $\mathrm{0.18 }{\mathrm{points}}^2$.