Applications of Calculus: Example 4

ohmymaths
May 3, 2021
1 min read

Question:

A piston cylinder arrangement is at the following initial conditions. Volume = 2000cm^3,

Pressure = 400kPa. A force is being applied to the gas in which the pressure increases at a rate of 1kPa per second. Calculate a value for the change in volume over time using Boyle's law and related rates?

Answer:

We know the following initial conditions:

Recent Posts

See All

Principle Stresses: Example 2

Question: The direct stresses acting on an element of material, on orthogonal planes, are 85N/mm^2 (tensile) and 45N/mm^2 (tensile)...

Thin Cylinder's: von-Mises Yield Criteria & Tresca

Question: A thin cylinder of 3m diameter is subjected to an internal pressure of 2.5MN/m^2. Using a factor of safety of 2.2 and a yield...

Eccentric Loading: Example 1

Question: A hole in a pressure vessel end plate repair casting is being drilled using a radial arm drill. The distance from the drill...

Comments