A trundle wheel can be used to measure the walking distance between two locations.

a) If the diameter of a trundle wheel is 45 cm, how far will a person have walked when the wheel makes one full rotation?

b) If a person walks for 0.7 km, how many times has the wheel rotated?

We are currently working on measurements and conversion, but I don't see where the "one full rotation" fits in. Isn't one full rotation 360 degrees? How do I solve this question? I've been working on it for hours and I still can't get it! :(

3 answers

one rotation turns the wheel through 360°, but that's not what matters here.

When the wheel turns one rotation while rolling on the ground, it covers a distance equal to the circumference of the wheel. So, since

C = πd, a 45-cm diameter wheel covers 45π = 141.37 cm.

(b) Now just divide 0.7km = 70000 cm to find out how many rotations it takes to cover that distance.

70000/141.37 = 495.15 rotations
A trundle wheel is used to measure distances.
Imran makes a trundle wheel, of diameter 50cm.

Imran uses his trundle wheel to measure the length of the school car park.
His trundle wheel rotates 87 times.

What is the length of the car park, to the nearest metre?
The circumference of the wheel is C=pi times diameter so is you do 50 times pi it equals to 157.0796327 cm then you times that by 87. which is13665.92804 then to nearest meter is 13666 cm. Then as a metre it is 137.