Polymers are widely used to manufacture lightweight orthotic leg braces for medical rehabilitation.
Table 1 shows some key physical and mechanical properties of two candidate polymers, Polymer X and Polymer Y.
| Property | Polymer X | Polymer Y |
|---|---|---|
| Density in g/cm3\text{g/cm}^3g/cm3 | 1.05 | 1.40 |
| Melting point in ∘C^\circ\text{C}∘C | 165 | 260 |
| Stiffness (Elastic Modulus) | Low | High |
| Moisture absorption | Low | High |
An orthotic leg brace must be lightweight (to minimize patient fatigue), highly rigid/stiff (to provide proper structural support), and hygienic (having low moisture absorption to prevent sweat buildup and skin irritation).
Using the data in Table 1, decide which polymer (Polymer X or Polymer Y) is best suited for each of the following criteria:
A heavy-duty bionic orthotic brace fabricated from Polymer Y has a mass of 4.8 kg.
Calculate the mass of a brace with the exact same dimensions if it were fabricated from Polymer X.
Use the information in Table 1 and the equation:
mass of Polymer X brace=density of Polymer Xdensity of Polymer Y×mass of Polymer Y brace \text{mass of Polymer X brace} = \frac{\text{density of Polymer X}}{\text{density of Polymer Y}} \times \text{mass of Polymer Y brace} mass of Polymer X brace=density of Polymer Ydensity of Polymer X×mass of Polymer Y brace