Problem 12
You observe the wheels of a car as it moves past you from right to left. Do the wheels have a positive or a negative angular velocity?
Problem 13
An object has an angular velocity of \(1.0 \mathrm{rad} / \mathrm{s}\) and an angular acceleration of \(-0.5 \mathrm{rad} / \mathrm{s}^{2}\). Is the speed of its rotation increasing or decreasing?
Problem 15
Is the angular speed of the hour hand of a clock greater than, less than, or equal to the angular speed of the minute hand?
Problem 16
Through how many radians does the minute hand of a clock rotate in \(15 \mathrm{~min}\) ?
Problem 17
Find the angular speed of the Earth as it orbits about the Sun. Give your answer in radians per second (rad/s).
Problem 18
A bicycle wheel with a radius of \(0.62 \mathrm{~m}\) rotates with an angular speed of \(21 \mathrm{rad} / \mathrm{s}\) about its axle, which is at rest. What is the linear speed of a point on the rim of the wheel?
Problem 19
A propeller on a ship has an initial angular velocity of \(5.1 \mathrm{rad} / \mathrm{s}\) and an angular acceleration of \(1.6 \mathrm{rad} / \mathrm{s}^{2}\). What is the angular velocity of the propeller after \(3.0 \mathrm{~s}\) ?
Problem 22
Explain How does rolling motion differ from pure rotational motion? How does it differ from pure linear motion?
Problem 22
How does rolling motion differ from pure rotational motion? How does it differ from pure linear motion?
Problem 23
How does increasing the moment of inertia affect how easily an object rotates?
