A 2.80 kg grinding wheel is in the form of a solid cylinder of radius 0.100 m. (a) What constant torque will bring it from rest to an angular speed of 1200 rev/min in 2.5 s? (b) Through what angle has it turned during that time? (c) Calculate the work done by the torque. (d) What is the grinding wheel's kinetic energy when it is rotating at 1200 rev/min? (e) What is the average power supplied to the wheel?

The radius of a wheel is 0.890 m. A rope is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 5.00 N, unwinding the rope and making the wheel spin CCW about its central axis. Ignore the mass of the rope. (a) How much rope unwinds while the wheel makes 1.00 revolution? ___m (b) How much work is done by the rope on the wheel during 1.00 revolution? ___J (c) What is the torque on the wheel about its axis due to the rope? ____N⋅m

A constant torque of 3.4 N.m is applied to an object , which undergoes 28 revolutions. Calculate the work done in Joules, with a single digit precison. Your Answer: Answer

a 7kg solid sphere rolls without slipping on a horizontal surface with its center of mass moving at 5m/s. what is the ratio between the translational and the rotational kinetic energies?

A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 2.00 m and a mass of 400 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4500 rev/min. (a) Find the kinetic energy stored in the flywheel. (b) If the flywheel is to supply energy to the car as would a 20.0-hp motor, find the length of time the car could run before the flywheel would have to be brought back up to speed.

A machine has a rod-shaped steel blade that rotates about its center.  The mass of the blade is 0.75 kg and its length is 0.75 .  Calculate its rotational kinetic energy when the blade has reached its operating speed of 4000 rpm.

You are riding your bicycle down the street at a speed of 16 m/s. Your bicycle's frame has a mass of 6.0 kg, and each of its two wheels has mass 2.2 kg and radius 0.34 m. Each wheel can be thought of as a hollow hoop (assuming that the rim has much larger mass than the spokes). What is the total kinetic energy of the bicycle (in Joules), taking into account both the translational and rotational motion?

A hollow cylinder has radius 9.5 cm and mass 1.8 kg. The cylinder rolls without slipping at a speed of 1.488 m/s, and begins to roll without slipping up a(n) 11° slope. What is the maximum height the cylinder will reach on the inclined plane when it comes to a stop?

A uniform disk of mass 500 kg and radius 0.25 m is mounted on frictionless bearings so it can rotate freely around a vertical axis through its center (see the following figure). A cord is wrapped around the rim of the disk and pulled with a force of 10 N. (a) How much work has the force done at the instant the disk has completed three revolutions, starting from rest? (b) Determine the torque due to the force, then calculate the work done by this torque at the instant the disk has completed three revolutions? (c) What is the angular velocity at that instant? (d) What is the power output of the force at that instant?

A frictionless pulley has the shape of a uniform solid disk of mass 2.90 kg and radius 10 cm. A 1.30 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (the figure (Figure 1)), and the system is released from rest. How far must the stone fall so that the pulley has 3.40 J  of kinetic energy? What percent of the total kinetic energy does the pulley have?