To drive a typical car at 40 mph on a level road for one hour requires about 3.2 × 10^7 J of energy. Suppose we tried to store this much energy in a spinning, solid, uniform, cylindrical flywheel. A large flywheel cannot be spun too fast or it will fracture. If we used a flywheel of diameter 1.26 m and mass 450 kg, what angular speed would be required to store 3.2 x 10^7 J? Give your answer in rad/s.

Some European trucks run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of 170 π rad/s. One such flywheel is a solid, uniform cylinder with a mass of 490 kg and a radius of 0.779 m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 6.9 kW, for how many minutes can it operate between chargings?

To drive a typical car at 40 mph on a level road for one hour requires about 3.2 × 10^7 J of energy. Suppose we tried to store this much energy in a spinning, solid, uniform, cylindrical flywheel. A large flywheel cannot be spun too fast or it will fracture. If we used a flywheel of diameter 1.26 m and mass 450 kg, what angular speed would be required to store 3.2 x 10^7 J? Give your answer in rad/s.

Question 8. 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 414-mile trip in a typical midsize car produces about 1.32 × 109 J of energy. How fast would a 44.1-kg flywheel with a radius of 0.304 m have to rotate to store this much energy? Give your answer in rev/min. Ans: 343712.61 rev/min

A torque of 170 N.m does 3420 J of work on a rotating flywheel. If the flywheels initial kinetic energy is 1266 J, what is its final kinetic energy? Report your answer in 4 significant figures

The puck in the figure below has a mass of 0.140 kg. Its original distance from the center of rotation is 40.0 cm, and it moves with a speed of 80.0 cm/s. The string is pulled downward 15.0 cm through the hole in the frictionless table. Determine the work done on the puck. (Hint: Consider the change of kinetic energy of the puck.)

Delivery trucks that operate by making use of energy stored in a rotating flywheel have been used in Europe. The trucks are charged by using an electric motor to get the flywheel up to its top speed of 1,000.0rad/s. One such flywheel is a solid disc, rotating about its central axis, with a mass of 1,010.0kg and a radius of 1.2m. What is the kinetic energy (in J) of the flywheel after charging?

A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 1.83 m and a rotational inertia of 261 kg⋅m² about the axis of rotation. A 73.1 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.97 rad/s when the student starts at the rim, what is the angular speed when she is 0.673 m from the center? Number Units

A system of point particles is shown in the figure. Each particle has mass 1.0 kg and they all lie in the same plane. If the system rotates at 10 rev/s, what is its rotational kinetic energy? 40 cm axis 20 cm 60 cm O 1.1 x 103 . O 2.2 x 103 ) 3.4 x 103 J O 4,4 x 103 ) 5.2 x 103 J

The figure shows a rigid assembly of a thin hoop (of mass m = 0.24 kg and radius R = 0.16 m) and a thin radial rod (of length L = 2R and also of mass m = 0.24 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation? Number i Rod Hoop ! Rotation axis Units