A wheel turns 9times per minute its diameter is1.2 at what speed must I run to stay on top

9*pi*1.2 units/min

9*3.14*1.2=33.912

To determine the speed at which you must run to stay on top of the wheel, you need to first find the circumference of the wheel. The formula to calculate the circumference of a circle is C = π * d, where C is the circumference and d is the diameter.

Given that the diameter of the wheel is 1.2 units, we can find its circumference as follows:

C = π * d
C = π * 1.2
C ≈ 3.7699 units

Now, since the wheel makes 9 complete turns per minute, we need to convert this into the speed at which you must run. One complete turn of the wheel covers its circumference, so in 1 minute, the wheel travels 9 times its circumference. Therefore, the total distance traveled by the wheel in 1 minute is:

Distance = 9 * C
Distance ≈ 9 * 3.7699
Distance ≈ 33.9291 units

To stay on top of the wheel, you need to cover the same distance in the same amount of time. Therefore, your speed must also be 33.9291 units per minute or simply 33.9291 units/min.