[zed963]

The diameter of the front wheel of Michael's bicycle is 668 mm.
A) work out the circumference of the wheel.

Give your answer in centimetres

(answer: 209.8 cm)

b) Micheal rides his bicycle
work out the distance cycled when the wheel makes 1000 complete turns.

Give your answer in km

I don't understand b

What am I supposed to do?

[TheLightBulb]

How many full turns of the circle (I.e the circumference) can you fit into the distance x


This was posted from The Student Room's iPhone/iPad App

[zed963]

(Original post by TheLightBulb)
How many full turns of the circle (I.e the circumference) can you fit into the distance x


This was posted from The Student Room's iPhone/iPad App

so circumference divided by 1000

[TheLightBulb]

That would be the circumference times the number of turns x


This was posted from The Student Room's iPhone/iPad App

[Lord of the Flies]

(Original post by zed963)
so circumference divided by 1000

Dividing would give you the distance for a thousandth of a turn. You want the distance for a thousand turns - perform the inverse operation

[Astonix]

This .gif from the Wikipedia page on Pi might help you visualise the answer to b.

http://upload.wikimedia.org/wikipedi...rolled-720.gif

As you can a see, as the wheel turns the distance traveled along the ground in one turn is equal to the circumference. So what distance would be traveled by a thousand rotations? That's what the question is asking.

[Dalek1099]

(Original post by zed963)
The diameter of the front wheel of Michael's bicycle is 668 mm.
A) work out the circumference of the wheel.

Give your answer in centimetres

(answer: 209.8 cm)

b) Micheal rides his bicycle
work out the distance cycled when the wheel makes 1000 complete turns.

Give your answer in km

I don't understand b

What am I supposed to do?

Circumference of a circle is pi* the diameter and for 1000 turns it would be 1000*Pi*the diameter,to get the distance because after a full turn the tyre has moved along the whole circle once.Remember to convert the mm into cm.

[TenOfThem]

(Original post by zed963)
so circumference divided by 1000

If the circumference were 1m, how many turns would you need to do 1000m

If the circumference were 10m, how many turns would you need to do 1000m

[Lord of the Flies]

(Original post by TenOfThem)
If the circumference were 1m, how many turns would you need to do 1000m

If the circumference were 10m, how many turns would you need to do 1000m

It's more a question of how many metres for 1000 turns than how many turns for a 1000 metres. I'm guessing you simply misread - just want to avoid confusing the OP!