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Explore the physical properties of biological materials including size, shape, sphericity, volume, and surface area. Learn how to calculate sphericity, volume, and surface area of fruits and vegetables. Dive into estimating volume through gas or liquid displacement and understanding surface area with geometric solids. Practice calculating sphericity and volume for different objects.
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Lecture 4 – Physical Attributes BAE2023 Physical Properties of Biological Materials Lecture 4
Lecture 4: Physical AttributesChpt 2, Pages 11-20 For grain, seeds, fruits, vegetables Size described by 3 dimensions Major diameter: longest dimension of the max projected area (fat part) Intermediate diameter: min. diameter on the max projected area, assumed to be equal to the longest diameter of the min projected area (thickness) Minor diameter: shortest dimension of the minimum projected area (skinny part) May be referred to differently in industry Usually called length, width, and depth BAE2023 Physical Properties of Biological Materials Lecture 4
Lecture 4: Physical AttributesChpt 2, Pages 11-20 Shape: used to describe unprocessed foods Example: carrots = cones Style: used to describe processed foods Example: carrot coins, french cut beans, apple wedges, banana chips Shape: use geometric solids…sphere, truncated cone (see appendix C) BAE2023 Physical Properties of Biological Materials Lecture 4
Lecture 4: Physical AttributesChpt 2, Pages 11-20 Sphericity: Ratio of volume of triaxial ellipsoid to a circumscribed sphere (show correction in book for 2a, 2b, 2c, page 13 and pg 14 example) Blueberry example BAE2023 Physical Properties of Biological Materials Lecture 4
Lecture 4: Physical AttributesChpt 2, Pages 11-20 Sphericity, Sc: Aspect ratio, Ra = (b/a)*100 Ra >50%...tends to slide Sc >50%...tends to roll Both > 50%, will tend to roll with some sliding BAE2023 Physical Properties of Biological Materials Lecture 4
Lecture 4: Physical AttributesChpt 2, Pages 11-20 Volume Volume determined by liquid or gas displacement Pycnometers or graduated burettes Weight of fluid displaced by solids divided by the density of the fluid = volume of the solid particles Buoyant force of water on object, page 16, 2.3 Platform balance Optical method BAE2023 Physical Properties of Biological Materials Lecture 4
Lecture 4: Physical AttributesChpt 2, Pages 11-20 Volume Volume determined by gas displacement Page 17 Fig.2.2 Gas penetrates grains and seeds Coat with wax BAE2023 Physical Properties of Biological Materials Lecture 4
Lecture 4: Physical AttributesChpt 2, Pages 11-20 Volume Estimation through calculation Use Appendix C for equations of similar geometries Error determination, %: [(Your calculation – test value)/(test value)]*100 Example: calculated volume using equation…48.7 mm3 Gas pyncnometer measure 50.1 mm3 BAE2023 Physical Properties of Biological Materials Lecture 4
Lecture 4: Physical AttributesChpt 2, Pages 11-20 Surface Area Peel Coating and peeling Bread loaf estimation example Estimate Surface Area Similarity to geometric solids Appendix C (not A!!!) Example 2.3 page 19 BAE2023 Physical Properties of Biological Materials Lecture 4
HW#4 AssignmentDue 1/25 Problem 1: A) Calculate the sphericity of a blueberry, a Red Haven peach, and a Norchip potato. B) Which one is more spherical? Problem 2: Calculate the volume of a Bart 46 Wheat kernel Reference data What is the percentage error when compared to the volume determined by testing? Problem 3: Using a piece of fruit or vegetable of your choice, and example 2.3 in Chpt 2, determine the volume and surface area. BAE2023 Physical Properties of Biological Materials Lecture 4
HW#4 Part AssignmentDue 1/25 Problem 4: #2.6 in book Problem 5: #2.12 in book BAE2023 Physical Properties of Biological Materials Lecture 4