- #1
Erenjaeger
- 141
- 6
Homework Statement
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?
Homework Equations
v=ds/dt = d(rθ)/dt
v = r d(θ)/dt
v = rω
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 ??