1. The problem statement, all variables and given/known data A student ties a 500 g rock to a 1.0-m-long string and swings it around her head in a horizontal circle. At what angular velocity in rpm does the string tilt down at a 16 degree angle? 2. Relevant equations F = (m*v^2)/r v = r*w 3. The attempt at a solution First I solved for the tension in the string... ∑Fy = 0 T*sin(16°) - mg = 0 T*sin(16°) = mg T = 17.776 N Next I solved for the linear velocity ΣFx = m*a Tx = 17.776cos(16°) r = sin(74°) 17.776cos(16°) = ((.5kg)*v^2)/(sin(74°) Solve for linear velocity --> 5.73 m/s v = r*w Solve for omega and I got 5.96 rad/s Convert to rpm and I got 56.9 rpm.