E-CodeCircular motion: centripetal, banked curve, loop — a TI-84 Plus CE program
CIRCMOT is a TI-BASIC program for the TI-84 Plus CE. Uniform circular motion (centripetal acceleration and force, period, rpm), the ideal speed on a banked curve with no friction, or the minimum speed at the top of a vertical loop (on the inside of the track) and the speed it needs at the bottom. g = 9.81 m/s².
What it asks for and what it shows
It asks for 3 values at its prompts, after you pick option 1 from its menu. In the example below it shows A M/S², F (N), PERIOD, RPM.
Example run
One of its oracle test cases: “car around a 50 m curve at 20 m/s”. The inputs are typed in order, and the results are the values the case expects on the screen.
| Step | Value |
|---|---|
| You enter | |
| Menu | option 1 |
| Input 1 | 1200 |
| Input 2 | 20 |
| Input 3 | 50 |
| The screen shows | |
A M/S²= | 8 |
F (N)= | 9600 |
PERIOD= | 15.70796327 |
RPM= | 3.819718634 |
How it's checked
4 test cases, each checked against an independent method. Replayed key by key on a virtual TI-84 Plus CE, they make 17 checks.
How E-Code checks every program
Run it or put it on your calculator
- Open the library in the TI-84 Plus CE calculator and pick “Circular motion: centripetal, banked curve, loop” (CIRCMOT).
- Put it on your own calculator with a computer and a USB cable, or type it in by hand.
Related programs
- Simple harmonic motion: spring or pendulum
- Projectile motion solver
- Kinematics: the five constant-acceleration equations
- Projectile launched from a height
- Thin lens, mirror, lensmaker and two-lens system
All TI-84 Plus CE physics programs · All TI-84 Plus CE programs