Modem 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 rotatingA wind turbine has a total of 3 bladesEach blade has a mass of m 5500 kg distributed uniformly along its length and extends a distance r = 49m from the center of rotationThe turbine rotates with a frequency of f= 15 rpm. Part a: enter expression for the total moment of inertia of the

A typical small rescue helicopter has four blades: Each is 4.00 m long and has a mass of 50.0 kg. The blades can be approximated as thin rods that rotate about one end of an axis perpendicular to their length (I = (Ml^2)/3). The helicopter has a total loaded mass of 1000 kg.  a.) Calculate the rotational kinetic energy in the blades when they rotate at 300 rpm.  b.) Calculate the angular momentum of the four combined blades when they rotate at 300 rpm (Hint: Find the angular momentum for one blade and multiply it by 4).

A m = 2kg ring has a radius of r = 0.5m. The moment of inertia of a ring is I = m r². The ring has an initial speed of v= 1 m/s on the horizontal surface. It rolls, without slipping, along the surface and up the ramp, where it stops when it reaches a height h. a) What is the angular velocity of the ring when it is on the horizontal surface? v=1m/s b) While the ring is on the horizontal surface, what is the speed of a point at the top of the ring? c) Use Conservation of Energy to find the maximum height of the ring, h. Show all your work. Solve the problem using variables. Only substitute numbers in the very last step. d) How would the maximum height change in each of the following situations? Put an X in the correct answer for each statement. The ring has a larger mass m (same r and v) The ring is replaced with a solid disc (same m, r, and v) There is no friction and the ring slides instead of rolling (same m, r, and v) Higher v=0 Lower Same height h

D Question 16 What quantity for quantities are parallel to the axis of rotation in the scenario on the left. Wheel and sode supported at one end by cord torque angular velocity angular momentum Ⓒlever arm Dapplied force the angular acceleration Question 17 OD What quantity for quantities) are parallel to the axis of rotation in the scenario on the right. Wheel and ade supported at one end by cord torque Gangula velocity lever arm A angular momentum □ wege - L mg mg

Cyclist! A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular acceleration. After 14 s, the wheels have made 48 rev. What is the angular velocity of the wheels after 14 s in rad/s ? rad/s Submit Answer Tries 0/2 What is the angular acceleration of the wheels in rad/s² ? rad/s² Submit Answer Tries 0/2 If the radius of the wheel is 37 cm, and the wheel rolls without slipping, how far has the cyclist (in m) traveled in 14 s? m Submit Answer Tries 0/2

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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

2a. 2b. 2c. Define center of mass, rem and rotational inertia I State the parallel axis theorem for rotational inertia. Consider a rigid structure made up of a solid sphere of mass ms and a solid cylinder of mass me connected by a solid rod of mass mr (see figure 2). Suppose this system is set into a rotational motion through the center of mass perpendicular to the z axis of the system. Find the rotational inertia of the system. ms 码a.

A system of point particles is shown in the following figure. Each particle has mass 0.43 kg, and they all lie in the same plane. 62 cm 49 cm axis 29 cm (a) What is the moment of inertia (in kg. m²) of the system about the given axis? kg-m² (b) If the system rotates at 5.6 rev/s, what is its rotational kinetic energy (in J)? J