4. A volleyball player's 3.7-kg arm moves at an average angular velocity of 15 rad/s during the execution of a spike. If the average moment of inertia of the extending arm is 0.45 kg m², what is the average radius of gyration for the arm during the spike?
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- A clock hangs on a wall. a) What is the direction of the average angular velocity of the seconds hand? b) What is the magnitude of the average angular velocity of the seconds hand?Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 12 rpm. a)Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared. b)Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities. c)Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.Suppose a yo-yo has a center shaft that has a 0.260 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.70 m/s2, what is the angular acceleration of the yo-yo in rad/s2? rad/s2 (b) What is the angular velocity in rad/s after 0.750 s if it starts from rest? rad/s (c) The outside radius of the yo-yo is 3.40 cm. What is the tangential acceleration in m/s2 of a point on its edge? m/s2
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