A flywheel of a motor weighs 640 lbs and has a radius of gyration of 4 ft. The motor develops a constant torque of 1280 lb-ft, and the flywheel starts at rest. What is the angular acceleration of the flywheel? An
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- A turn table starts from rest and reaches 11 rad/s of angular velocity in 9.5 s. Find the angular acceleration in rad/s/s. Answer:The rotational inertia of a disk about its axis is 8.3kg. m². When a 3.2 kg weight is added to its rim, 9.7 m from the axis, the rotational inertia becomes: Answer:For rolling without slip, the acceration of a circular disk on an incline plane a=r(alpha) where alpha = to the angular accleration. Qn. What is the difference in acceleration with slipping vs without slipping? Also, why is there no centripetal acceleration (towards the centroid of disk) when the disk is rolling without slippage?
- A 0.24 m radius grinding wheel takes 5.8 s to speed up from 2.6 rad/s to 5.9 rad/s. What is the wheel’s average angular acceleration?A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s2. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?A 0.37 m radius grinding wheel takes 6.1 s to speed up from 2.9 rad/s to 6.8 rad/s. What is the wheel's average angular acceleration?
- A flywheel has a constant angular deceleration of 1.6 rad/s/s. If the flywheel comes to rest from an angular velocity of 269.2 rad/s, what was the angular displacement and the time for the wheel's rotation?A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:An 8.00-cm-diameter, 360 g solid sphere is released from rest at the top of a 1.8-m-long, 17.0 incline. It rolls, without slipping, to the bottom. What is the sphere’s angular velocity at the bottom of the incline? What fraction of its kinetic energy is rotational?
- A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.168 rad/s2. After making 2870 revolutions, its angular speed is 146 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?A turntable is switched from 13.5 rad/s to 2.4 rad/s, and the platter goes through an angle of 30.43 radian in reaching the new angular speed. What is the angular acceleration of the platter?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