1. The problem statement, all variables and given/known data A 1.5 kg mass tied to the roof rotates with constant speed in a horizontal circle. The string makes an angle of 30 deg to the vertical. a) determine the velocity , the centripetal acceleration and the centripetal force on the mass. b) determine the tension in the string. c) say the mass is given a push so that now the mass rotates with a constant velocity of 9.4 m/s . Determine the angle the string makes with the vertical , the centripetal force on the mass and the tension in the string. 2. Relevant equations ∑Fradial = TsinΘ = mv2/R ∑Fy = TcosΘ - mg = 0 3. The attempt at a solution To solve part a: First I found my R by, R = LsinΘ = 1.5sin30° = .75m Second my T by, T= mg/cosΘ = 1.5*9.8/cos30° = 16.97 N Now I find my velocity by, V= sqrt((R*T*sinΘ)/m)) = sqrt((.75*16.97*sin30°)/1.5) = 2.06 m/s the centripetal acceleration, v2/R = a a = TsinΘ/m = 16.97*sin30°/1.5 = 5.66 m/s2 for part b I already found my tension to be 17N. Part C is where I am having trouble, how can i find the angle Θ with the new constant velocity if im not given a radius or tension?