1. The problem statement, all variables and given/known data Going through a lecture recording from a lecture I missed the lecturer says "to get the relationship between translational speeds and angular velocities we will take a differential" what is that relationship she is talking about? does she mean converting between the two? The derivative was, v=ds/dt = d(rθ)/dt v = r d(θ)/dt ← the r was pulled out the front here because this was assuming an unchanging radius. therefore v = rω i understand that rω comes about because the d(θ)/dt was defined as the angular velocity, whereas i thought it was just Δθ/Δt that was angular velocity? not the derivative of θ with respect to t, which is was d(θ)/dt is right? Aslo would someone be able to show me how I would apply this to a question? 2. Relevant equations v=ds/dt = d(rθ)/dt v = r d(θ)/dt v = rω 3. The attempt at a solution Would applying that last part, v=rω does that just mean to find the velocity (as a scalar) it is just the product of the radius and angular velocity ??