Problem 23
How does increasing the moment of inertia affect how easily an object rotates?
Problem 24
Generalize How will doubling the mass of an object affect its moment of inertia?
Problem 28
As a car travels along a road, the speed of the tops of its wheels is \(46 \mathrm{~m} / \mathrm{s}\). What is the speed of the car and its occupants?
Problem 29
Calculate A basketball has a radius of \(0.12 \mathrm{~m}\) and a mass of \(0.57 \mathrm{~kg}\). Assuming the ball to be a hollow sphere, what is its moment of inertia?
Problem 29
A basketball has a radius of \(0.12 \mathrm{~m}\) and a mass of \(0.57 \mathrm{~kg}\). Assuming the ball to be a hollow sphere, what is its moment of inertia?
Problem 30
Calculate A chef spins a disk of pizza dough over her head, giving it an angular speed of \(7.2 \mathrm{rad} / \mathrm{s}\). If the moment of inertia of the pizza dough is \(6.3 \times 10^{-6} \mathrm{~kg} \cdot \mathrm{m}^{2}\), what is its rotational kinetic energy? (Assume that the disk of dough is uniform.)
Problem 30
A chef spins a disk of pizza dough over her head, giving it an angular speed of \(7.2 \mathrm{rad} / \mathrm{s}\). If the moment of inertia of the pizza dough is \(6.3 \times 10^{-6} \mathrm{~kg} \cdot \mathrm{m}^{2}\), what is its rotational kinetic energy? (Assume that the disk of dough is uniform.)
Problem 31
. Calculate The moment of inertia of a ball is \(1.6 \times 10^{-8} \mathrm{~kg} \cdot \mathrm{m}^{2}\). If the ball spins with an angular speed of \(8.2 \mathrm{rad} / \mathrm{s}\), what is its angular momentum?
Problem 31
The moment of inertia of a ball is \(1.6 \times 10^{-8} \mathrm{~kg} \cdot \mathrm{m}^{2}\). If the ball spins with an angular speed of \(8.2 \mathrm{rad} / \mathrm{s}\), what is its angular momentum?
Problem 33
A force of \(8.8 \mathrm{~N}\) pushes on the rim of a wheel of radius \(0.41 \mathrm{~m}\). The direction of the force is at an angle of \(22^{\circ}\) relative to the radial direction. What is the torque produced by this force?
