Grade 12 · Week 08 · Tuesday · Day 02

What Holds the Curve?

Guiding question: What real interactions can supply an inward net force?

Objective: Distinguish centripetal resultant from tension, friction and gravitational force agents.

45–60 minutes · No apparatus · Standalone offline lesson

Learn the science

No special circular-motion force

An object has no separate force called 'centripetal force' in addition to all other real forces. The phrase 'centripetal force' is shorthand for the net inward component of actual interactions. On a horizontal unbanked road, the tire-road static friction is the principal horizontal inward force. For an ideal horizontal string-and-puck setup, tension can supply the radial force.

Choose the body, then list agents

For a car on a level road, gravity pulls down and the road's normal force acts up; those can balance vertically. The road's sideways friction on tires may then contribute net inward force. A free-body diagram of the car includes actual agent-on-car forces. Do not add an extra inward force called F_c if you have already drawn the real inward interaction—it would double count.

A banked turn is a different model

On a banked road, the normal force can have a radial component; friction can also contribute depending on speed and design. The simple flat-road calculator here deliberately excludes banking, aerodynamic effects and changing load distributions. Never use its estimates as safe road-speed advice or a real structural design certificate.

Model independent of physical demonstrations

A numerical laboratory can assign mass, speed, radius and a proposed force mechanism without anyone swinging objects or driving. In a real experiment, measuring force direction accurately would require appropriate sensors and supervision. Today's visual model provides vectors and labeled synthetic values, not observations from real vehicles.

Vocabulary

contact friction
Tangential force supplied at the contact between surfaces.
tension
Pulling force transmitted by a taut connector.
normal force
Contact force perpendicular to a surface.
resultant force
Vector sum of the actual forces acting on a selected body.
force agent
The object or field exerting a specified interaction force.

Worked example

A 5 kg puck at speed 3 m/s with radius 3 m requires net radial F=5×3²/3=15 N inward. If a horizontal tether supplies all radial force, its ideal tension is 15 N. The 'centripetal' term is this tension's resulting radial role, not another added 15 N.

Calculate independently and write the units and directions.

Independent evidence journal

Compare a tire-on-road explanation with a tethered-puck explanation. Draw two distinct FBDs using source-labeled arrows, then record a model run showing F_net,radial.

Notes stay in this browser if storage is available. Export for a portable copy.

Daily Practice · 4 Questions

Open-book learning and instant explanations with an 80% practice target. No official exam questions or verified transcripts are stored here.