You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 25.0 cm. Starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3.00 rad/s 2 about an axis perpendicular to the flywheel at its center. If the flywheel has a density (mass per unit volume) of 8600 kg/m 3 , what thickness must it have to store 800 J of kinetic energy at t = 8.00 s?
You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 25.0 cm. Starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3.00 rad/s 2 about an axis perpendicular to the flywheel at its center. If the flywheel has a density (mass per unit volume) of 8600 kg/m 3 , what thickness must it have to store 800 J of kinetic energy at t = 8.00 s?
You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 25.0 cm. Starting from rest at t = 0, the flywheel rotates with constant angular acceleration 3.00 rad/s2 about an axis perpendicular to the flywheel at its center. If the flywheel has a density (mass per unit volume) of 8600 kg/m3, what thickness must it have to store 800 J of kinetic energy at t = 8.00 s?
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
You are designing a rotating metal flywheel that will be used to store energy. The flywheel is to be a uniform disk with radius 35.0 cm. Starting from rest at t = 0, the filywheel rotates with constant angular acceleration 3.00 rad/s about an axis perpendicular to the flywheel at its center
If the flywheel has a density (mass per unit volume) of 8600 kg/m³, what thickness must it have to store 800 J of kometic energy at 8.00 s?
A particular horizontal turntable can be modeled as a uniform disk with a mass of 230 g and a radius of 26.0 cm that rotates without friction about a vertical axis passing through its center. The
angular speed of the turntable is 3.00 rad/s. A ball of clay, with a mass of 40.0 g, is dropped from a height of 25.0 cm above the turntable. It hits the turntable at a distance of 15.0 cm from the
middle, and sticks where it hits. Assuming the turntable is firmly supported by its axle so it remains horizontal at all times, find the final angular speed of the turntable-clay system.
rad/s
A uniform cylindrical grindstone has a mass of 10 kg and a radius of 12 cm. What is the rotational kinetic energy of the grindstone when it is rotating at 1.5 x 10^3 re/min? After the grindstone's motor is turned off, a knife blade is pressed against the outer edge of the grindstone with a perpendicular force of 5.0 N. The coefficient of kinetic friction between the grindstone and the blade is mu K = 0.80. Use the work-energy principle to determine how many turns the grindstone makes before it stops.
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