Answer:
F = 4361.7 N
Explanation:
In this exercise the force of the string is asked, to solve it we use Newton's second law
F - W = m a
force is the tension of the rope
the centripetal acceleration is
a = v² / r
the angular and linear speed are related
v = w r
let's substitute
F - mg = m w² r
F = m (g + w² r)
let's reduce the magnitudes to the SI system
w = 2.0 rot / s (2π rad / 1 rev) = 4π rad / s
let's calculate
F = 10 (9.8 + (4π)² 2.7)
F = 4361.7 N
