Phys 1001 Ch8: Rotational Motion Openstax E6. The rotational velocity of a spinning disk decreases from 10.0 rev/s to 3.0 rev/s in a time of 2.5 s. What is the rotational acceleration of the disk in radians? Check Phys 1001 Ch8: Rotational Motion Openstax E7. Starting from rest, a merry-go-round accelerates at a constant rate of 0.42 rev/s². What is its rotational velocity after 7.0 s?
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- A 6 cm diameter, 550 g solid sphere is released from rest at the top of a 2.0 m long, 35° incline. It rolls, without slipping, to the bottom. a. What is the sphere’s angular velocity at the bottom of the incline?b. What fraction of its kinetic energy is rotational?A smoothie blender is spinning its blades at positive 6,800 rpm. When the motor is turned off the blades stop spinning over the course of 2 seconds. Question 1: What is the angular acceleration of the blades? Please answer the question in rad/s^2 Question 2: How many revolutions do the blades complete as they come to a stop?Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released quickly to accomplish a task that demands high power. An industrial flywheel has a 1.5 m diameter and a mass of 250 kg. A motor spins up the flywheel with a constant torque of 50N⋅m50N⋅m. How long does it take the flywheel to reach top angular speed of 1200 rpm? Show a diagram
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- Jimmothy has a flywheel. It rotates about its central axis. It starts from rest and accelerates uniformly. After completing 100 revolutions, the flywheel reaches an angular speed of 70.9 rad/s. It's your job to calculate the following: 1. What is The angular acceleration of the flywheel 2. What is The time required to complete the first 50 revolutions. 3. What is The time required to complete the second 50 revolutions.A student is whirling a ball on a string in a circle with an angular speed of 20 rad/s. Air drag decelerates the ball at a rate of -3 rad/s2. What is the angular speed of the ball after it has spun through an angle of 30 radians? Remember to include units with your answer. A disk is initially at rest. If the disk speeds up uniformly to a speed of 45 rad/s in a time of 15 seconds, what angle does it turn through? Remember to include units with your answer.A turntable is rotating at 78 revolutions per minute and has a rotational inertia of I= 0.045 kg.m^2. A 500g ball of clay is dropped vertically onto the turntable so it sticks at 8.0cm from the center of the turntable. How fast is the turntable rotating (in rpm) after this event
- A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational inertia of the ball is 0.4mr2. The ball rolls up a 30-degree inclined plane. What is the maximum height that the ball reaches? - 0.4 meters - 0.5 meters - 0.6 meters - 1.3 metersA fan is turned off, and its angular speed decreases from 10.0 rad/s to 6.3 rad/s in 5.0 s. What is the magnitude of the angular acceleration of the fan? 0.86 rad/s2 O 0.74 rad/s2 O 0.37 rad/s2 O 11.6 rad/s2 1.16 rad/s2