Answer :
The centripetal force on the end of a 118−m (radius) wind turbine blade that is rotating at 0.5 rev/s. The centripetal force on the end of the wind turbine blade is approximately 1481.72 Newtons (N).
To calculate the centripetal force on the end of the wind turbine blade, we can use the formula:
F_c = m * ω^2 * r,
where F_c is the centripetal force, m is the mass, ω is the angular velocity, and r is the radius.
Given:
m = 4 kg (mass of the blade)
ω = 0.5 rev/s (angular velocity)
r = 118 m (radius)
First, we need to convert the angular velocity from revolutions per second to radians per second. Since 1 revolution is equal to 2π radians, we have:
ω = 0.5 rev/s * 2π rad/rev = π rad/s.
Now we can calculate the centripetal force:
F_c = (4 kg) * (π rad/s)^2 * (118 m).
Performing the calculation, we get:
F_c = 4 * π^2 * 118 ≈ 1481.72 N.
Therefore, the centripetal force on the end of the wind turbine blade is approximately 1481.72 Newtons (N).
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