A wind turbine with four hollow hemispherical cups connected to a pivot is commonly used to measure wind speed. Consider a wind turbine with four 12-cm- diameter cups with a center-to-center distance of 75 cm, as shown in the Figure below. If the pivot is stuck as a result of a malfunction and the cups stop rotating, what is the maximum moment (i.e., torque) that the turbine applies on the pivot for a wind speed of 60 km/hr? Also include the direction (clockwise or counter-clockwise). Assume that the density of the air is 1.20 kg/m³.

A wind turbine with four hollow hemispherical cups connected to a pivot is commonly used to measure wind speed. Consider a wind turbine with four 12-cm- diameter cups with a center-to-center distance of 75 cm, as shown in the Figure below. If the pivot is stuck as a result of a malfunction and the cups stop rotating, what is the maximum moment (i.e., torque) that the turbine applies on the pivot for a wind speed of 60 km/hr? Also include the direction (clockwise or counter-clockwise). Assume that the density of the air is 1.20 kg/m³.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

**Problem 3:**

A wind turbine with four hollow hemispherical cups connected to a pivot is commonly used to measure wind speed. Consider a wind turbine with four 12-cm-diameter cups with a center-to-center distance of 75 cm, as shown in the Figure below.

If the pivot is stuck as a result of a malfunction and the cups stop rotating, what is the maximum moment (i.e., torque) that the turbine applies on the pivot for a wind speed of 60 km/hr? Also include the direction (clockwise or counter-clockwise). Assume that the density of the air is 1.20 kg/m³.

**Diagram Explanation:**

The diagram illustrates the wind turbine consisting of four cups attached to a central pivot. The cups are positioned at equal distances from each other, making a symmetrical arrangement. The distance from the center of the pivot to the center of a cup is indicated as 75 cm. Wind direction is shown entering from the left, impacting the cups, which would typically cause them to spin around the pivot under normal operation.

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