Awind turbine has 12,000 kg blades that are 36 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?

As we know that centripetal force is given as

here we know that

m = 12000 kg

R = 18 m

here we assumed that radius is half of the length of blade as here the center of mass is concentrated at mid point of blade

now the force is given as

so above is the centripetal force on the blade

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s

e/c, where e is its total energy