explain the calculation of surface area,volume,fluid force of an arch dam
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explain the calculation of surface area,volume,fluid force of an arch dam
When designing structures like dams, many questions arise. How much material will be needed to
build the structure? If the material used to build the
structure needs curing, like concrete does, what is the surface
area? What forces act on the structure and how can the forces
be calculated? Calculus is a helpful tool in answering these
questions.
Observations
A common design used in the construction of dams is the
arch dam. An arch dam is usually built in a narrow canyon
and curves toward the water it contains. The canyon itself is
used to support the dam. The force of the water against the
dam is transferred outward to the canyon walls.
Purpose
In this lab, you will analyze the construction of an arch dam
and find its surface area and volume. You will also study the
fluid force on one of the dam’s gates. You will use Derive to
verify your results.
When designing structures like dams, many questions arise. How much material will be needed to
build the structure? If the material used to build the
structure needs curing, like concrete does, what is the surface
area? What forces act on the structure and how can the forces
be calculated? Calculus is a helpful tool in answering these
questions.
Observations
A common design used in the construction of dams is the
arch dam. An arch dam is usually built in a narrow canyon
and curves toward the water it contains. The canyon itself is
used to support the dam. The force of the water against the
dam is transferred outward to the canyon walls.
Purpose
In this lab, you will analyze the construction of an arch dam
and find its surface area and volume. You will also study the
fluid force on one of the dam’s gates. You will use Derive to
verify your results.
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