Question

on this spinning wind turbine, where would an object experience the least centripetal force? at \a\, in the center mechanism at \b\, the very tip of the blade

Explanation:

Step1: Recall centripetal force formula

The centripetal force formula is \(F = m\omega^{2}r\), where \(m\) is mass, \(\omega\) is angular velocity, and \(r\) is the radius of the circular path.

Step2: Analyze \(r\) for points \(A\) and \(B\)

For a spinning wind - turbine, \(\omega\) (angular velocity) is the same for all points on the turbine (assuming rigid - body rotation). Let's assume the mass \(m\) of the object is constant. The radius \(r\) for point \(A\) (center) is \(r_A\approx0\), and for point \(B\) (tip) is \(r_B>0\).
Substituting into \(F = m\omega^{2}r\), when \(r = r_A\approx0\), \(F_A=m\omega^{2}r_A\approx0\), and \(F_B=m\omega^{2}r_B>0\)

Answer:

at "A", in the center mechanism