Question

on this spinning wind turbine, at which letter would the motion be the slowest? at a, in the center mechanism at b, the very tip of the blade

Explanation:

Step1: Relationship between linear speed and radius

The formula for linear speed \(v = \omega r\), where \(\omega\) is the angular speed (same for all points on a rigid rotating body like the wind - turbine) and \(r\) is the radius from the axis of rotation.

Step2: Compare radii of points A and B

For point \(A\), \(r_A\) (distance from the center of rotation) is much smaller than \(r_B\) (distance from the center of rotation for point \(B\)). Since \(\omega\) is constant for the wind - turbine, and \(v\propto r\) (because \(v = \omega r\) and \(\omega\) is the same), when \(r\) is smaller, \(v\) is smaller.

Answer:

at "A", in the center mechanism