Bubba builds a windmill one day. The blades of the windmill are initially at res

Question

Bubba builds a windmill one day. The blades of the windmill are initially at rest. The wind then begins to blow, and the blades start to spin with uniform angular acceleration. After about 11.5 seconds the blades are spinning at a rate of one rotation for every 0.785 seconds. a) What is the angular acceleration of the blades? b) During the time that the windmill was accelerating, through what angle the blades turn? c) If the windmill blades have a rotational moment of inertia of 13.2 kg m^2, what was the torque on the windmill from the wind?

Explanation / Answer

here ,

final angular speed , wi = 2pi/0.785

wi = 8 rad/s

a) angular acceleration = wi/time

angular acceleration = 8/11.5

angular acceleration = 0.69 rad/s^2

b)

angle turned by the blades = 0.50 * a * t^2

angle turned by the blades = 0.50 * 0.69 * 11.5^2

angle turned by the blades = 46 radian

c)

net torque by the wind = I * a

net torque by the wind = 13.2 * 0.69

net torque by the wind = 9.11 N.m

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.