Question

A wind turbine has 12,000 kg blades that are 37 m long. The blades spin at 24 rpm .If we model a blade as a point mass at the midpoint of the blade, what is the inward force necessary to provide each blade's centripetal acceleration

Answer 1

`F_c = 1.4 * 10^6 N`

Step-by-step explanation:

As we know

`f = 24 rpm`

so we will have

`f = 24 (1)/(60) hz = 0.4hz`

now angular frequency is given as

`\omega = 2\pi f`

`\omega = 0.8\pi`

Now the inwards is given as centripetal force

`F_c = m\omega^2 r`

`F_c = (12000)(0.8\pi)^2((37)/(2))`

`F_c = 1.4 * 10^6 N`