Answer:
θ = 720º
Explanation:
Let's use the rotational kinematics relations for this exercise, remember that all angles must be given in radians.
Let's reduce the magnitudes to the SI system
θ = 2 rev (2π rad / 1 rev) = 4π rad
we assume that the pulley has a radius r
linear and angular coordinates are related
y = θ r
let's calculate
y = 4π r
to convert the distance in angles to radians
θ = y / r
θ = 4π
let's change this angle to degrees
π rad = 180º
θ = 4π rad (180º /π rad)
θ = 720º
