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Homework Statement
In an amusement park rocket ride, cars are suspended from L = 4.37-m cables attached to rotating arms at a distance of d = 6.09 m from the axis of rotation. The cables swing out at an angle of θ = 53.9° when the ride is operating. What is the angular speed of rotation?
Homework Equations
(mv^2)/r = mg
wr(angular speed) = v
The Attempt at a Solution
Okay, so first I calculated the total radius which was 6.09 m + (sin53.9)(4.37) and got a radius of 9.62 m. Then, since there is no normal force, the tension is equal to mg, thus making mv^2/r = mg. Masses cancel out and I got v^2/r = g I got a velocity of 9.7145 m/s. Using the angular speed equation : wr = v. For angular speed I got 1.01 deg / sec. Computer says this is wrong, what did I do wrong?