Friday, November 21, 2014

Centripetal Force Solutions

A wind turbine blade has a radius of 31 m and a mass of 1380 kg is rotating at 1 rev/s.

Assuming all of the mass is located at the end of the blade, what is the net force (centripetal force in N) acting on the end of the turbine blade?

Find the Centripetal Force

First you will want to change 1rev/s to velocity in m/s

To do so find the total distance traveled

Perimeter of circle=2pi*r  =194.77meters

Therefore: 1rev/s =194.77meters/sec

To find Force you need Mass* Acceleration

So find centripetal acceleration with equation: A(c) = v^2 /r  = 1223.83 m/s^2

Centripetal Force= 1223.83 m/s^2 * 1380kg =1688886.705 N

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