Verified answer

You know that it takes 2880 degrees of rotation to go 12 meters, so this is a simple ratio problem.

2880 / 12 = x / .5

2880 x .5 / 12 = x

x = 120 degrees

2880 to 12m

x to .5 m

so

2880 x .5 = 12x

1440 = 12x

x= 120

so the wheel needs to rotate 120 degrees, or in other words, it needs to complete a third of a rotation.

2880*0.5/12 deg = 120 deg = one third rotation only

8*360/24 = (2^6)*(3^2)*5/(2^3)*3 = (2^3)*3*5 = 120

120 degrees