The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh = 0.580 m and mass 5.65 kg, and two thin crossed rods of mass 9.52 kg each. Imagine replacing the wagon wheels with uniform disks that are ta = 5.25 cm thick, made out of a material with a density of 7830 kg/m³. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? ☺ ta ra rd 0.26465375513648 Incorrect m

The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.474 m and mass 4.70 kg, and two thin crossed rods of mass 8.23 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0651 m thick, made out of a material with a density of 7830 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? rd = m

A wheel that is initially at rest is mounted on an axle that is not frictionless. When a constant external torque of 50.0 N-m is applied to the wheel for 25.0 s the wheel angularly accelerates to an angular speed of 750 rpm. The external torque is removed and the wheel comes to rest after 120 s due to the friction at the axle. Write down N2L for each situation. What is (a) the moment of inertia of the wheel and (b) the magnitude of the frictional torque on the wheel at the axle (which is assumed to be constant)? (c) Include a complete diagram of each situation.

An oversized yo-yo is made from two identical solid disks each of mass M = 2.10 kg and radius R = 10.0 cm. The two disks are joined by a solid cylinder of radius r = 4.00 cm and mass m = 1.00 kg as in the figure below. Take the center of the cylinder as the axis of the system. R. M (a) What is the moment of inertia of the system? Give a symbolic answer. (Use any variable or symbol stated above as necessary.) moment of inertia %3D

The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius r = 0.262 m and mass 5.65 kg, and two thin crossed rods of mass 8.23 kg each. A farmer would like to replace his wheels with uniform disks ta = 0.0462 m thick, made out of a material with a density of 6910 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? rd = m

You are trying to get a better feel for the effect of geometry and mass distribution on the moment of inertia. You have a solid disk and a thin ring, each of radius, r = 1.30 m, and mass, m = 73.0 kg. You mount both on fixed, horizontal frictionless axes about which they can spin freely. Then you spin them both. (a) How much work do you need to do to get each object to spin at 3.00 rad/s? (b) Let us assume that you have been causing them to spin by using a constant force applied tangentially to their circumferences. If the above speed is to be reached within 0.700 s, what is the magnitude of the force you need to apply to each object? (c) You next attempt to stop each object by pressing one finger on each side of each object, right at the outer edge. The coefficient of kinetic friction between each finger and the surface of each object is 0.300. Find the minimum force you have to apply to stop each object within 1.00 min.

The figure below shows a side view of a car tire before it is mounted on a wheel. Model it as having two sidewalls of uniform thickness 0.600 cm and a tread wall of uniform thickness 2.50 cm and width 19.8 cm. Assume the rubber has a uniform density 1.10 x 10³ kg/m³. Find its moment of inertia about an axis perpendicular to the page through its center. 0.082 x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg - m² 33.0 cm 30.5 cm 16.5 cm Sidewall Tread

An old millstone, used for grinding grain in a gristmill, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.880 rad/s2. (a) What is the moment of inertia of the wheel (in kg · m2)? kg · m2   (b) What is the mass (in kg) of the wheel? kg   (c) The wheel starts from rest and the tangential force remains constant over a time period of 5.50 s. What is the angular speed (in rad/s) of the wheel at the end of this time period? rad/s

An empty beer can has a mass of 17 g, a length of 14 cm, and radius of 3.4 cm. Find the moment of inertia of the can about its axis of symmetry. Assume that the can is a perfect cylinder of sheet metal with no ridges, indentations, or holes.

We can model a small merry-go-round as a uniform circular disk with mass 88 kg and diameter 1.8 m. How many 22 kg children need to ride the merry-go-round, standing right at the outer edge, to double the moment of inertia of the system?