Final answer:
The linear velocity is given, and the angular velocity can be calculated using the formula ω = v / r, provided the radius is known. The linear and angular velocities are directly related in rolling motion, without slipping, by this equation.
Step-by-step explanation:
The linear velocity of the hollow cylinder is given as 3.3 m/s. The linear velocity (v) and the angular velocity (ω) in rolling motion without slipping are related by the equation v = rω, where r is the radius of the cylinder. To find the angular velocity, we need to know the radius of the cylinder which is not provided in the question. However, assuming we have the radius, you could calculate the angular velocity by rearranging the equation to ω = v /
For a cylinder rolling without slipping, the point of contact with the surface has zero velocity relative to the surface, meaning that the entire velocity of the motion is due to the cylinder rotating about this point. This physical relationship is what connects linear and angular velocities in such a system.