a-wind-turbine-blade-rotates-in-the-xy-plane-the-wind-applies-a-force-f-0-5-0-n-

Question

A wind turbine blade rotates in the xy-plane. The wind applies a force F = (0, 5, 0) N at the tip at position r = (3, 0, 0) m. What is the torque τ = r × F, and why is its direction important?

Accepted Answer

(0, 0, 15); direction shows axis of rotation perpendicular to blade.

Answer

(0, 15, 0); direction shows force in plane of blade.

Answer

(15, 0, 0); direction shows force along blade.

Answer

(0, 0, -15); direction shows rotation opposite to blade motion.