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What is centripetal force?

🔬 ScienceSimple🌐 English~1 min▶ Video
▶ Watch it taught live Opens the whiteboard: the tutor draws and talks through this lesson, and you can ask questions.

Transcript

Why doesn't a spinning ball fly away from your hand?

What is centripetal force
AI illustration (FLUX.2 on Cloudflare)

Imagine swinging a ball on a string in a circle. The string keeps pulling the ball toward your hand.

Ball on a string
Ball on a string · AI illustration (FLUX.2 on Cloudflare)
String let go!
String let go! · AI illustration (FLUX.2 on Cloudflare)

That pull toward the center is called centripetal force. The word means center seeking. Without this pull, the ball would not turn at all. It would just go straight. Newton said things move straight unless a force pushes or pulls them. Turning needs a force.

  • Centripetal = center seeking
  • Turning needs a force
Isaac Newton
Isaac Newton · Wikipedia: Isaac Newton

Here is the key. The force always points to the center, and the ball moves sideways to it. The same idea works for a car turning a corner. Friction from the road pulls the car toward the middle of the curve.

Car on a bend
Car on a bend · AI illustration (FLUX.2 on Cloudflare)
Tyres grip the road
Tyres grip the road · AI illustration (FLUX.2 on Cloudflare)

In space, gravity does the job. The Earth pulls the Moon, so the Moon keeps circling us.

Moon orbits Earth
Moon orbits Earth · AI illustration (FLUX.2 on Cloudflare)
Gravity pulls inward
Gravity pulls inward · AI illustration (FLUX.2 on Cloudflare)

So centripetal force is not a new kind of force. It is whatever force pulls toward the center.

Diagram String tension → Road friction → Gravity → Centripetal force

A bigger force, a faster ball, or a smaller circle all change how hard the pull must be. Here is an example. If you spin the ball twice as fast, the string must pull four times harder.

  • Twice as fast = four times pull
F=\frac{m v^2}{r}

That is why a fast spin can snap a string. The pull needed gets too big.

Too fast: snap!
Too fast: snap! · AI illustration (FLUX.2 on Cloudflare)

Time for a quick check. If the string breaks, which way does the ball fly? Centripetal force is the inward pull toward the center that keeps anything moving in a circle.

Quick quiz

Q1. The string breaks. Which way does the ball go?

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