Formula Selection: The centripetal force ($F_c$) required to keep a body moving in a circular path with angular velocity is given by Newton's Second Law applied to centripetal acceleration ($a_c = \omega^2 R$): $F_c = m a_c = m \omega^2 R$ [Source 43, 63]

Calculation: Substitute the given values into the equation: $F_c = 5 \text{ kg} \times (2 \text{ rad/s})^2 \times 1 \text{ m}$ $F_c = 5 \times 4 \times 1$ $F_c = 20 \text{ N}$