This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Morning Patiencekasiemobi201@.com — let's get this done. Here is the solution to the exam question: Part a) Calculate the shape descriptors: Given dimensions: Length (L) = 7.0 mm Width (W) = 2.5 mm Thickness (T) = 2.0 mm i. Sphericity (S) Step 1: State the formula for Sphericity. S = (LWT)^1/3L Step 2: Substitute the given values into the formula. S = (7.0 mm × 2.5 mm × 2.0 mm)^1/37.0 mm S = (35.0 mm^3)^1/37.0 mm S = 3.271 mm7.0 mm Step 3: Calculate the Sphericity. S ≈ 0.467 The sphericity is: 0.467 ii. Aspect Ratio (R_a) Step 1: State the formula for Aspect Ratio. R_a = (W)/(L) Step 2: Substitute the given values into the formula. R_a = 2.5 mm7.0 mm Step 3: Calculate the Aspect Ratio. R_a ≈ 0.357 The aspect ratio is: 0.357 iii. Elongation Ratio (R_e) Step 1: State the formula for Elongation Ratio. R_e = (L)/(W) Step 2: Substitute the given values into the formula. R_e = 7.0 mm2.5 mm Step 3: Calculate the Elongation Ratio. R_e = 2.8 The elongation ratio is: 2.8 iv. Flatness Ratio (R_f) Step 1: State the formula for Flatness Ratio. R_f = (T)/(W) Step 2: Substitute the given values into the formula. R_f = 2.0 mm2.5 mm Step 3: Calculate the Flatness Ratio. R_f = 0.8 The flatness ratio is: 0.8 Part b) Briefly explain what the calculated Elongation Ratio (R_e) tells you about the shape of this rice grain. The calculated Elongation Ratio (R_e = 2.8) indicates that the rice grain is significantly elongated. Specifically, its length is 2.8 times greater than its width, confirming it has a long, slender shape rather than being round or flat. Send me the next one 📸