a big wheel of a penny farthing bicycle has a radius of 0.75m work out the number of complete turns the big wheel makes?

0.75 * pi

To calculate the number of complete turns the big wheel of a penny farthing bicycle makes, you need to know the circumference of the wheel. The formula for the circumference of a circle is:

C = 2πr

where C is the circumference and r is the radius.

In this case, the radius of the wheel is given as 0.75m, so substituting the value into the formula:

C = 2π(0.75) ≈ 4.71m

Now that we know the circumference of the wheel, we can determine the number of complete turns by dividing the distance traveled by the circumference of the wheel. However, you haven't provided any specific distance. If you have a distance in meters, you can divide it by the circumference to get the number of turns.

For example, if you traveled 10 meters:

Number of turns = Distance / Circumference
= 10m / 4.71m
≈ 2.12 turns

Remember to substitute the actual distance you want to calculate for "Distance" in the above formula.

Let me know if you need any further assistance!