Hello. Could you please answer these questions? The formulas are listed below the title of the worksheet, and the answer are provided in bold and italics right next to the their corresponding questions. I would appreciate it if you would show all your work that leads to your answers. Thank you for doing this!

Rotational Kinetic Energy Practice r= la = F W=1 40 1. An electric fan spinning with an angular speed of 12 rad/s has a kinetic energy of 4.1 J. What Is the moment of inertia of the fan? 0.057 kg m' 2. Turning a doorknob through 0.25 of a revolution requires 0.12 J of work. What is the torque required to turn the doorknob? 0.076 Nm 3. To prepare homemade ice cream, a crank must be turned with a torque of 3.8 Nm. How much work is required for each complete turn of a crank? 23.88J 4. A circular saw blade accelerates from rest to an angular speed of 3620 rpm In 6.30 revolutions. a. Find the torque exerted on the saw blade, assuming it is a disk of radius 15.2 cm and mass 0.755 kg. 15.83 Nm b. Is the angular speed of the saw blade after 3.15 revolutions greater than, less than, or equal to 1810 rpm? Greater than c. Find the angular speed of the blade after 3.15 revolutions. 2560 rev/min 5. When a pitcher throws a curve ball, the ball is given a fairly rapid spin. If a 0.15 kg baseball with a radius of 3.7 cm is thrown with a linear speed of 46 m/'s and an angular speed of 41'rad/s, how much of its kinetic energy is translational and how much is rotational? Assume the ball is a uniform, solid sphere. Kuan = 158.7J; Ke. = 0.069 6. A 2.0 kg solid cylinder (radius 0.10 m, length 0.50 m) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.75 m high and 5.0 m long. When the cylinder reaches the bottom of the ramp, what is a. Its total kinetic energy? 14.7/ b. Its rotational kinetic energy? 4.9/ c. Its translational kinetic energy? 9.8/ 7. A solid sphere with a diameter of 0.17 m is released from rest; It then rolls without slipping down a ramp, dropping through a vertical height of 0.61 m. The ball leaves the bottom of the ramp, which is 1.22 m above the floor, moving horizontally. a. What will be the horizontal distance traveled by the sphere after it leaves the ramp? 1.46 m b. If the ramp were to be made frictionless, would the horizontal distance the ball travels after it leaves the ramp increase, decrease, or remain the same? Explain. Greater, no friction > no Kra all Kram 8. A thin, uniform rod of length & and mass M Is attached to a wall at one end by a hinge and held in a horizontal position on the other end. The rod is released from rest and allowed to swing downward without friction or air resistance. When the rod is vertical, what Is a. Its angular speed? 3g VL b. The tangential speed of its free end? 3gl