ENGR 103 - Test 2 Defintions With
Solutions
Integral - ANSWER Area under a curve
Derivative - ANSWER slope of the tangent line to a curve
Area of a Rectangle - ANSWER A=lw
Area of a Triangle - ANSWER A=1/2bh
Area of a Trapezoid - ANSWER A=1/2(b1+b2)h
"Negative Area" - ANSWER Negative area can exist numerically. When
calculating an integral just subtract it from the positive area.
Fluids - ANSWER randomly arranged molecules held together by weak
cohesive forces; fluid flows under the slightest stress and continues flowing
as long as stress is present
, Solids - ANSWER molecules arranged in crystals (orderly on a lattice)
elastic (solid) - ANSWER finite deformation under load; recovers original
shape when unloaded
plastic (solid) - ANSWER finite deformation under load; does not return to
original state
liquid - ANSWER "incompressible"
volume=constant
may have a free surface (subject to its own vapor pressure)
Gas - ANSWER very compressible
expands to fill a containment
"incompressible" - ANSWER high bulk modulus (constant density)
Solutions
Integral - ANSWER Area under a curve
Derivative - ANSWER slope of the tangent line to a curve
Area of a Rectangle - ANSWER A=lw
Area of a Triangle - ANSWER A=1/2bh
Area of a Trapezoid - ANSWER A=1/2(b1+b2)h
"Negative Area" - ANSWER Negative area can exist numerically. When
calculating an integral just subtract it from the positive area.
Fluids - ANSWER randomly arranged molecules held together by weak
cohesive forces; fluid flows under the slightest stress and continues flowing
as long as stress is present
, Solids - ANSWER molecules arranged in crystals (orderly on a lattice)
elastic (solid) - ANSWER finite deformation under load; recovers original
shape when unloaded
plastic (solid) - ANSWER finite deformation under load; does not return to
original state
liquid - ANSWER "incompressible"
volume=constant
may have a free surface (subject to its own vapor pressure)
Gas - ANSWER very compressible
expands to fill a containment
"incompressible" - ANSWER high bulk modulus (constant density)