GCSE · Physics · Edexcel · Spec 1PH0

Centripetal force

Whirl a ball on a string at a perfectly steady speed. Is it accelerating? Most people say no. Physics says yes — and something has to keep pulling it.

Motion in a circle

Velocity goes along. The force points in.
Seen from abovehand (centre)velocitytension(the resultant force)

View: Ball on a string. Showing 2 layers: Circular path, Ball on a string

View

Switch views. In each one, find the two arrows and the right angle between them.

The string pulls the ball in towards your hand at the centre. That pull — the tension — provides the resultant force towards the centre, at right angles to the ball's velocity.

From view to view the object changes. The rule for the two arrows doesn't.

Why a force is needed

?

Reason it through

The ball's speed never changes. So why does it need a force at all?

Link 1 of 4

First link · your turn

The speed stays the same. What about the direction the ball is moving in?

2
Locked — reveal the link above first
3
Locked — reveal the link above first
4
Locked — reveal the link above first

Predict, then check

You're whirling a ball on a string, and we're looking down from above. Suddenly the string snaps.

The instant the string snaps, which path does the ball take (seen from above)?

What is centripetal force, really?

Which idea do you hold?

A car goes round a roundabout on a level road at a steady speed. Someone asks: what exactly is the centripetal force on the car?

Which is closest to what you think right now?
How sure are you?

How much force?

More force or less force?

Compared with before, does the object now need a larger or a smaller centripetal force?

Still to sort

Larger centripetal force needed (0)

Where the line is: Only one thing changes on each card — the others stay the same. That's what lets you judge which way the force goes.

Smaller centripetal force needed (0)

6 of 6 still to sort.

Each card changes just one thing and keeps everything else the same. Decide which way the centripetal force needed goes.

WHAT YOU'VE LEARNED

A quick recap of today's lesson.

Going round at a steady speed still counts as accelerating — so something has to keep pulling towards the centre.

What you need to know

  • Going round a circle means your direction keeps changing — so your velocity keeps changing, even at a steady speed.
  • A changing velocity needs a resultant force. In circular motion it points towards the centre, and it's called the centripetal force.
  • A real force always supplies it — tension, friction or gravity — and without it the object goes straight along the tangent.

The big picture

An object moving in a circle at a constant speed is still accelerating, because its direction — and so its velocity — keeps changing. The acceleration points towards the centre, so by Newton's second law a resultant force must act towards the centre: the centripetal force. A real force always supplies it, such as tension, friction or gravity. Acting at right angles to the motion, it changes the direction but not the speed. Remove it and the object carries straight on along the tangent. A higher speed, a tighter circle or a larger mass needs a larger centripetal force.

Key points

1Velocity has size and direction. Round a circle the direction changes all the time, so the velocity changes too.
2A change in velocity is an acceleration. An object moving in a circle at constant speed is accelerating towards the centre.
3By Newton's second law, that acceleration needs a resultant force towards the centre. We call it the centripetal force.
4The centripetal force acts at right angles to the direction of motion, so it changes the direction but not the speed.
5Centripetal force is not an extra force. It's supplied by a real force: tension (ball on a string), friction (car on a bend) or gravity (satellite in orbit).
6If the centripetal force is removed, the object moves off in a straight line along the tangent — not outwards.
7A larger centripetal force is needed for a higher speed, a smaller radius or a larger mass (changing one at a time).

Worked example

Problem

A hammer thrower spins a heavy metal ball round on the end of a wire. The ball moves in a circle at a constant speed. Explain why the ball is accelerating, and state what provides the centripetal force.

⚠ Watch out

Saying an object going round a circle at a constant speed is not accelerating. Its speed is constant, but its direction isn't — so its velocity is changing and it is accelerating towards the centre.

🧠

Memory hook

“Velocity runs along, force points in.” The velocity arrow runs along the tangent; the force arrow points in to the centre, at right angles. Take the force away and the object follows its velocity arrow — straight off along the tangent.

✓

Check yourself

Cover the page. The Moon travels round the Earth in a roughly circular path. Which way does its velocity point, which way does the resultant force point, and what supplies that force?

Flashcards

(13)
What is the difference between speed and velocity?
Speed is how fast something moves. Velocity is speed in a particular direction.
Something goes round a circle at a steady speed. Which stays the same — speed or velocity?
Only the speed. Velocity includes direction, and that keeps turning.
Is an object moving in a circle at a steady speed accelerating? If so, which way?
Yes — towards the centre of the circle.
What is the centripetal force?
The resultant force towards the centre of the circle that keeps an object moving in a circle.
Which law tells you that an acceleration needs a resultant force?
Newton's second law.
At what angle does the centripetal force act to the velocity — and what does that mean?
At 90°, so it changes the direction of motion but never the speed.
Ball whirled on a string: what supplies the centripetal force?
The tension in the string.
Car going round a bend: what supplies the centripetal force?
Friction between the tyres and the road.
Satellite in orbit: what supplies the centripetal force?
Gravity — the Earth's pull on the satellite.
Is centripetal force an extra force, on top of the others?
No. It's the name for the resultant force towards the centre, and a real force always supplies it.
What is a tangent to a circle?
A straight line that just touches the circle at one point — it points the way the object is moving at that point.
The string holding a whirling ball breaks. Which way does the ball go?
In a straight line along the tangent at that point — not outwards.
Name three changes that each mean a larger centripetal force is needed.
A higher speed, a smaller radius (tighter circle), or a larger mass — changing one at a time.

Tap any card to flip it, or use Study as deck to go through them one at a time. In the full lesson these run as a spaced-repetition deck — you rate each card Hard, Good or Easy and the tricky ones keep coming back until they stick.

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