Does Hydrostatic Pressure Depend on Container Shape?

The following GeoGebra app simulates a pressure sensor that measures hydrostatic pressure, calibrated to eliminate the value of atmospheric pressure.

The purpose of this simulation is to address certain misconceptions by students such as the assumption that the shape of a container affects the pressure such that the pressure differs in different containers when measured at the same depth.

Drag the dot around to compare the pressure values at the same height between both containers.

The following codes can be used to embed this into SLS.

<iframe scrolling="no" title="Hydrostatic Pressure" src="" width="640px" height="480px" style="border:0px;"> </iframe>

Hydrostatic Pressure and Upthrust

This app is used to demonstrate how a spherical object with a finite volume immersed in a fluid experiences an upthrust due to the differences in pressure around it.

Given that the centre of mass remains in the same position within the fluid, as the radius increases, the pressure due to the fluid above the object decreases while the pressure below increases. This is because hydrostatic pressure at a point is proportional to the height of the fluid above it.

It can also be used to show that when the volume becomes infinitesimal, the pressure acting in all directions is equal.

The following codes can be used to embed this into SLS.

<iframe scrolling="no" title="Hydrostatic Pressure and Upthrust" src="" width="640px" height="480px" style="border:0px;"> </iframe>


Graphical relationship between acceleration, velocity and displacement

I created the following GeoGebra app to illustrate the relationships between the physical quantities acceleration, velocity and displacement.

  1. Modify the acceleration graph using the two green dots. Notice how the velocity and displacement graphs would change.
  2. You can set the initial values of velocity and displacement using the orange and red dots respectively.
  3. Press "Play" to observe how the object moves. Note: the animation takes place in slow-motion, not in real time.
  4. Uncheck any of the graphs to hide them.

Here are some learning activities you can try out.

  1. Predict the displacement-time graph, following these steps:
    1. Uncheck the displacement-time graph.
    2. Move the two dots on the acceleration-time graph to zero acceleration.
    3. Move the initial velocity to - 10 m s-1.
    4. Predict how the displacement-time graph will look like.
  2. Predict/describe the movement of the object.
    1. Set the dots for acceleration to remain constant for a period of 4 seconds at - 10 m s-2, initial velocity at 20 m s-1, and initial displacement at 0 m.
    2. Predict how the object will move, taking the upward direction as positive.
    3. Press "Play" to verify your answers.

For embedding into SLS:

<iframe scrolling="no" title="Acceleration, velocity and displacement graphs" src="" width="638px" height="478px" style="border:0px;"> </iframe>

Area under velocity-time graph