Title: Calculating Centripetal Force on a Wind Turbine Blade**Problem Statement:**Calculate the centripetal force on the end of a 122 cm (radius) wind turbine blade that is rotating at 0.5 rev/s. Assume the mass is 6 kg.**Formula:**The centripetal force \( F_c \) can be calculated using the formula:\[ F_c = m \cdot \omega^2 \cdot r \]Where:- \( m \) is the mass of the object in kilograms.- \( \omega \) is the angular velocity in radians per second.- \( r \) is the radius in meters.**Given:**- Radius \( r = 122 \) cm \( = 1.22 \) meters- Rotational speed = 0.5 revolutions per second- Mass \( m = 6 \) kg**Steps:**1. **Convert rotational speed to angular velocity:** \[ \omega = 2\pi \cdot \text{rotational speed} = 2\pi \cdot 0.5 \, \text{rad/s} = \pi \, \text{rad/s} \]2. **Substitute the known values into the formula:** \[ F_c = 6 \, \text{kg} \cdot (\pi \, \text{rad/s})^2 \cdot 1.22 \, \text{m} \]3. **Calculate the centripetal force:** \[ F_c = 6 \cdot \pi^2 \cdot 1.22 \] \[ F_c \approx 6 \times 9.87 \times 1.22 \] \[ F_c \approx 72.124 \, \text{N} \]**Resources:**- **Question Help:** - [Read 1] - [Read 2]**Hint:**- Additional hints can be viewed by clicking on [Hint 1].**Action:**- Click "Submit Question" to check your answer.

Mass of object (m) =6kg Radius of wind turbine blade (r) =122 m Angular velocity of turbine (ohmega)…

Answered: Calculate the centripetal force on the…

Calculate the centripetal force on the end of a 122-m (radius) wind turbine blade that is rotating at 0.5 rev/s. Assume the mass is 6 kg. F₁ = Question Help: Submit Question N Read 1 Read 2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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