A rock of mass 5.5kg is hanging from the ceiling moving in uniform circular motion. The radius of the orbit is .8m. The angle of the rope in comparison to if it were hanging straight down is 15 degrees outward.
What is the magnitude of the force of the cord on the mass? I already found out this is about 55.801 N
What is the magnitude of the acceleration of the rock?
What is the angular speed of the rock?
How many revolutions per second does the rock make?
angular speed = v/r
f = ma
centripital accel = (v^2)/r
..others probably as well...
The Attempt at a Solution
*To get the magnitude of the acceleration of the rock:
Ftotal = Frope + Fweight = 109.701
plug into F = ma, a=19.9457 (incorrect)
I'm guessing I need to include another force...or take the magnitude of both those force vectors added together? I don't know how to get the Frope force vector though.
Any help with thi swould be apreciated.