F=ma 2025 Problem 19

Physics · mechanics

Problem

Question: Near the ground, wind speed can be modeled as proportional to height above the ground. (This is a reasonable assumption for small heights.) A wind turbine converts a constant fraction of the available kinetic energy into electricity. The conditions are such that when operating at 10m10 m above the ground,the turbine delivers 15kW15 kW of power. How much power would the same windmill deliver if it were operating at 20m20 m above the ground? (A) 15kW15 kW. (B) 21kW21 kW. (C) 30kW30 kW. (D) 60kW60 kW. (E) 120kW120 kW.

Browse the problem library