My question is about the centripetal acceleration formula |a| = ω^2*r. If we keep the angular speed constant then why does increasing the radius increase the centripetal acceleration? I don't find this intuitive because the velocity vector is being turned by the same amount each second, if ω is constant.
Also is there an intuitive way to think about how the units (m/s^2) relate to circular motion?
Also is there an intuitive way to think about how the units (m/s^2) relate to circular motion?