I can calculate actuator force from pressure and area and use Pascal’s law to compare cylinders.
POE Unit 3 • Lesson 3.12
Pressure, Force, and Pascal’s Law
Focus question: How do pressure and piston area determine the force available from a fluid-power actuator?
Mission Briefing
Today’s Plan
A focused sequence that advances the rover and VEX ground-support mission.
Opening promptConcept modelGuided practiceInteractive applicationEvidence checkExit ticket
Lesson Targets
What You Will Be Able to Do
Pressure-force calculation set
Calculations use compatible units and include a reasonableness check.
Activity Flow
How the Lesson Moves
Each step builds the control-systems reasoning needed for today’s deliverable.
1. Relate variables
Connect pressure, piston area, and output force.
2. Calculate force
Convert units and apply F = PA.
3. Compare designs
Determine how diameter changes available force.
Lesson Interactive
Pressure-force calculation set Practice
Apply the lesson concept to an aerospace rover or VEX ground-support scenario. Use the feedback to correct reasoning before documenting the main deliverable.
Actuator Force Calculator
500 NIdeal force
250,000 PaPressure converted
0.002000 m²Area converted
Use F = PA. Since 1 kPa = 1000 Pa and 1 mm² = 0.000001 m².
Verify the Calculation
Area grows with diameter squared, so diameter changes force more strongly than a simple one-to-one ratio.
Today’s Work
Main Deliverable
Pascal’s Law Calculation Set
Create one focused engineering artifact that demonstrates today’s learning.
- Complete at least three pressure-area-force calculations with units.
- Compare two piston diameters and explain why force changes with area rather than diameter alone.
Exit Ticket
Mission Debrief
State one control-systems or automation idea from today in your own words.
Name one measurement, calculation, trace, or test result that supports your design decision.
Identify one interface, logic, safety, or reliability risk to carry into the next lesson.
Resources
Lesson Resources
Lesson 3.12 PowerPoint
Use the presentation to review the lesson concepts, examples, and activity directions.
Principles of Engineering
Return to the POE course hub for units, resources, certifications, and course information.
Rover Mission + VEX Ground Support System
Use the integrated mission context when connecting logic, sensing, actuation, testing, and design-review evidence.