2.5 Physical Applications
LEARNING OBJECTIVES 2.5 Physical Applications
2.5.1 Determine the mass of a one-dimensional object from its linear density function.
2.5.2 Determine the mass of a two-dimensional circular object from its radial density function.
2.5.3 Calculate the work done by a variable force acting along a line.
2.5.4 Calculate the work done in pumping a liquid from one height to another.
2.5.5 Find the hydrostatic force against a submerged vertical plate.
VIEW 2.5 Physical Applications
- Ex: Determine the Work Required to Pump Water Out of a Circular Cylinder
- Ex: Determine the Work Required to Pump Water Out of Trough (Isosceles Triangle)
- Ex: Determine the Work Required to Pump Water Out of Trough (Quadratic Cross Section)
- Ex: Find the Work Lifting a Leaking Bucket of Sand Given Mass
- Ex: Find the Work Lifting a Leaking Bucket of Sand and Rope Given Mass
- Ex: Find the Hydrostatic Force on a Horizontal Plate (No Calculus)
- Ex: Find the Hydrostatic Force on a Vertical Plate in the Shape of an Isosceles Triangle
- Ex: Find the Hydrostatic Force on a Dam in the Shape of a Degree 4 Polynomial
- Ex: Find the Hydrostatic Force on a Semicircle Window Submerged in Water
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