The figure gives angular speed versus time for a thin rod that rotates around one end. (a) What is the magnitude of the rod's angular acceleration? (b) At t = 4.0 s, the rod has a rotational kinetic energy of 7.79 J. What is its kinetic energy at t = 0?

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

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 131-mile trip in a typical midsize car produces about 3.01 x 10 J of energy. How fast would a 38.5-kg flywheel with a radius of 0.597 m have to rotate to store this much energy? Give your answer in rev/min. Number i jud eTextbook and Media Units >

The angular position of a point on a rotating wheel is given by θ = 5.81 + 8.13t2 + 3.45t3, where θ is in radians and t is in seconds. At t = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t = 8.75 s? (d) Calculate its angular acceleration at t = 1.09 s. (e) Is its angular acceleration constant?

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 144-mile trip in a typical midsize car produces about 1.05 x 109 J of energy. How fast would a 18.7-kg flywheel with a radius of 0.247 m have to rotate to store this much energy? Give your answer in rev/min.

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 187-mile trip in a typical midsize car produces about 2.84 x 109 J of energy. How fast would a 9.42-kg flywheel with a radius of 0.237 m have to rotate to store this much energy? Give your answer in rev/min.