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

a) If the diameter of a trundle wheel is 45cm, how far will a person have walked when the wheel makes one full rotation?
b) If a person walks for 0.7km, how many times has the wheel rotated?

We are currently working on measurement and conversion, I understand that measurement is involved in this question but I don't know how, when, why, and what to convert. One full rotation is 360 degrees right? I don't get how 360 degrees and 45cm go together.

If the diameter of the wheel is 45 cm then the radius is 45/2 = 22.5 cm and the circumference is pi*r^2. When the wheel makes one full revolution it will have traveled the circumference of the wheel.

Is my face red. Circumference, which is what you want, is pi*diameter. I, unfortunately, gave you the formula for the area of a circle. Bad! I get an "F" for the day.

Hello! i have the same question and i did pi*diameter (3.14*45cm) and got an answer of 141.3cm.

To answer the questions about the trundle wheel, we need to understand the relationship between the rotation of the wheel and the distance it covers.

a) To determine how far a person will have walked when the wheel makes one full rotation, we need to find the circumference of the wheel. The circumference can be calculated using the formula C = π * d, where C represents the circumference and d represents the diameter of the wheel. In this case, the diameter is given as 45 cm.

C = π * d
C = 3.14 * 45
C ≈ 141.3 cm

So, when the wheel makes one full rotation, a person will have walked approximately 141.3 cm.

b) To determine the number of times the wheel has rotated for a person who walked a distance of 0.7 km, we need to convert the distance to the units used for rotation. In this case, the circumference of the wheel is given in centimeters.

To convert 0.7 km to centimeters, we need to consider that 1 km is equal to 100,000 centimeters.

0.7 km * 100,000 cm/km ≈ 70,000 cm

Now, we know the person has walked approximately 70,000 cm. Since one rotation of the wheel covers a distance of approximately 141.3 cm (as calculated in part a), we can divide the total distance walked by the distance covered in one rotation to find the number of rotations.

Number of rotations = Total distance walked / Distance covered in one rotation
Number of rotations = 70,000 cm / 141.3 cm

By dividing, we find that the wheel has rotated approximately 495 times.

In summary, to determine the walking distance and the number of rotations using a trundle wheel:
a) Calculate the circumference of the wheel using the formula C = π * d, where d is the diameter of the wheel.
b) Convert the given distance to the same units as the circumference and divide the total distance by the distance covered in one rotation.