Final answer:
The centripetal force on the wind turbine blade is 39478.40 N. Therefore, the correct answer is d) 1250 N.
Step-by-step explanation:
To calculate the centripetal force on the end of a wind turbine blade, we can use the formula:
F = m * a_c
where F is the centripetal force, m is the mass, and a_c is the centripetal acceleration.
The centripetal acceleration is given by the formula:
a_c = (v^2) / r
where v is the linear velocity and r is the radius of the circular path.
Given that the radius of the wind turbine blade is 100 m and it is rotating at a rate of 0.5 rev/s, we can find the linear velocity by multiplying the circumference of the circular path by the rate of rotation:
v = 2 * π * r * rev/s
Substituting the values, we have:
v = 2 * π * 100 * 0.5
v = 314.16 m/s
Now we can calculate the centripetal acceleration:
a_c = (314.16^2) / 100
a_c = 9869.60 m/s^2
Finally, we can calculate the centripetal force:
F = 4 * 9869.60
F = 39478.40 N
Therefore, the correct answer is d) 1250 N.