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Bike Shop 3-5 / Week 05 / Tuesday
2/6
Week 05 Β· Gears and the Chain

Tuesday

Count the teeth
// Counting teeth to predict turns
⏱ about 15 min

Tuesday: Count the Teeth

Rocket cuts two paper gears. One is big. One is small.

He links them with a paper strip and turns the big one once.

"Whoa! The little one went around twice!"

Raven leans in. "What do you notice about the bumps on each gear?"

Nova blinks. "Count the teeth on each one," she says. "Then compare."

Teeth tell the story

Gears have teeth. The chain fits over the teeth.

Here is a real example from a museum scientist.

His front chain ring had 54 teeth. His back cog had 27 teeth.

One pedal turn moves the chain 54 teeth.

The 27-tooth cog needs 27 teeth to go around once.

So 54 teeth of chain turn it around twice.

The back wheel turns twice for one pedal turn.

Front teethBack teethBack wheel turns per pedal turn
54272

The rule: front teeth divided by back teeth.

That tells how many times the back wheel turns for one pedal turn.

THE MUSEUM EXAMPLE
  • Read the question.
  • Tap your answer.
How many teeth did the front chain ring have?
How many times did the back wheel turn for one pedal turn?

Practice gears

These are made-up practice numbers. Use the rule for each one.

Made-up gear setFront teethBack teeth
Set A4020
Set B3010
Set C4812
Set A: back wheel turns per pedal turn?
Set B: back wheel turns per pedal turn?
Set C: back wheel turns per pedal turn?
MOST TURNS
  • Read the question.
  • Tap your answer.
Which made-up set turns the back wheel the most times?
StatementTrue or false?
The chain fits over the teeth of the gears.?
A 27-tooth cog turns once when the chain moves 27 teeth.?
The rule is back teeth divided by front teeth.?
With 54 teeth in front, an 11-tooth cog turns fewer times than a 27-tooth cog.?
WHY THIS EXERCISEFront teeth divided by back teeth tells the back wheel turns per pedal turn.
Try it
On paper, draw a big circle and a small circle.
Draw 12 teeth around the big one and 6 around the small one.
Predict: how many times does the small one turn when the big one turns once?
Safety first
A grown-up does any cutting.
Paper gears only today. No real bike needed.
In your shop notebook, sketch your two paper gears with all their teeth.

Terrific tooth counting! Tomorrow we build a model chain drive with no bike at all.

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