Skater in a Bowl

A skater dips into a hemispherical bowl (\(r_0 = {{params.ro}}m\)) with an initial velocity of \(v_0 = {{params.vo}}m/s\) tangent to the horizontal rim of the bowl. As the skater rounds the bowl, its rotational radius \(r\) shrinks. As the skater passes point B, which is \(h = {{params.h}}m\) below the rim, and \(r\) from the centre line, the velocity makes an angle \(\theta\) with the horizontal tangent of the bowl through B. Determine \(\theta\).

Part 1

Answer Section

Please enter in a numeric value in \(^\circ\).

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.