The waterwheel is used to convert the kinetic energy of falling water into useful mechanical energy. (A) If an average of 10.0 kg of water flows into the waterwheel every second, what is the torque of the flowing water acting on the waterwheel with a radius of 2.45 m? (b) The torque exerted by water causes the wheel to move with an angular acceleration of 0.593 rad / s. Using this information, find the rotational inertia of the water wheel. Using this information, find the rotational inertia of the water wheel.

A constant torque is applied to a rigid wheel whose moment of inertia is 5.0 kg · m2 around the axis of rotation. If the wheel starts from rest and attains an angular velocity of 30.0 rad/s in 12.0 s, what is the applied torque (in N · m)? (Indicate the direction with the sign of your answer.)

When tightening a bolt, you push perpendicularly on a wrench with a force of 161 N at a distance of 0.134 m from the center of the bolt. How much torque are you exerting in newton meters (relative to the center of the bolt)? (Enter the magnitude.)

In the figure, a constant horizontal force The wheel rolls smoothly on the horizontal surface, and the acceleration of its center of mass has magnitude 0.82 m/s2. (a) What is the magnitude of the frictional force on the wheel? (b) What is the rotational inertia of the wheel abeut the rotation axis through its center of mass? of magnitude 12 N is applied to a wheel of mass 7.8 kg and radius 0.27 m. app (a) Number Units N 6.2 (b) Number 0.683 Units kg m^2 Click if you would like to Show Work for this question: Open Show Work y Policy © 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc. Version 4.24.20.1

A metal ball with 0.27 kg of mass and 0.050 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The ball rolled up the incline without slipping to a vertical height of 0.47 m before stopping. The ramp has a length of 1.7 m along the incline. Find the speed of the ball before it reached the ramp. Hint: the ball has rotational kinetic energy. The rotational inertia of a solid sphere is (2/5)mr^2.

A grindstone has a moment of inertia of 6 x 10-3 kg m2. When a constant torque is applied, the flywheel reaches an angular velocity of 1200 rev/min in 15 s. Assuming it started from rest, find the angular acceleration. Find the unbalanced torque applied. Find the angle turned through in the 15 s. Find the work W done on the flywheel by the torque.

Calculate the rotational inertia of a wheel that has a kinetic energy of 33.2 kJ when rotating at 923 rev/min. Number Units Use correct number of significant digits; the tolerance is +/-2%

Two wheels have the same mass and radius of 4.9kg and 0.45 m, respectively. One has (a) the shape of a hoop and the other (b) the shape of a solid disk. The wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. Each turns through an angle of 13 rad in 8.4 s. Find the net external torque that acts on each wheel.

The flywheel of a steam engine runs with a constant angular velocity of 240 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 2.6 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 120 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 34 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?

A mass of  0.75 kg is located at the end of a very light and rigid rod   60.0 cm in length. The rod is rotating about an axis at its opposite end with a rotational velocity of   12.0 rad/s. What is the rotational inertia of the system?