A light string can support a stationary hanging load of 26.4 kg before breaking. An object of mass m = 3.19 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.795 m, and the other end of the string is held fixed as in the figure below. What range of speeds can the object have before the string breaks?

0 to what?? please help!

1 answer

Ac = omega^2 R

F = m Ac
26.4*9.81 = 3.19 (omega^2)(.795)

omega^2 = 102
omega = 10.1 radians/s maximum
v = omega R
so v </= 8.03 meters/ second