Quiz Multiple-choice questions on linear and angular motion. 1. Angular displacement is A wheel of radius 15 mm has an angular velocity of 10 rad/s. A point on a flywheel of radius m has a uniform linear acceleration of 2 m/s2. Instantaneous Angular Velocity. Average Constant Angular Acceleration Equations f i ω = ω + α t Note, keep all angular units within an equation in the. Play this game to review Angular Momentum. Which has greater linear speed, a horse near the outside rail of a What is its average angular acceleration? Q. What is the relationship between centripetal force and the mass of an object?.
These questions go beyond the typical problems you can expect to find in a physics textbook. Some of these physics questions make use of different concepts, so for the most part there is no single formula or set of equations that you can use to solve them. These questions make use of concepts taught at the high school and college level mostly first year.
Quiz & Worksheet - Rotation & Angular Acceleration | balamut.info
It is recommended that you persist through these physics questions, even if you get stuck. It's not a race, so you can work through them at your own pace. The result is that you will be rewarded with a greater understanding of physics. Problem 1 A crank drive mechanism is illustrated below.
Angular momentum and energy
A uniform linkage BC of length L connects a flywheel of radius r rotating about fixed point A to a piston at C that slides back and forth in a hollow shaft. A variable torque T is applied to the flywheel such that it rotates at a constant angular velocity. Show that for one full rotation of the flywheel, energy is conserved for the entire system; consisting of flywheel, linkage, and piston assuming no friction.
Note that gravity g is acting downwards, as shown. Even though energy is conserved for the system, why is it a good idea to make the components of the drive mechanism as light as possible with the exception of the flywheel? Problem 2 An engine uses compression springs to open and close valves, using cams.
During the engine cycle the spring is compressed between 0. Assume the camshaft rotates at the same speed as the engine. Floating the valves occurs when the engine speed is high enough so that the spring begins to lose contact with the cam when the valve closes.
You may ignore gravity in the calculations. Problem 3 An object is traveling in a straight line. Its acceleration is given by where C is a constant, n is a real number, and t is time. Find the general equations for the position and velocity of the object as a function of time. Problem 4 In archery, when an arrow is released it can oscillate during flight.
If we know the location of the center of mass of the arrow G and the shape of the arrow at an instant as it oscillates shown belowwe can determine the location of the nodes. Using a geometric argument no equationsdetermine the location of the nodes. Assume that the arrow oscillates in the horizontal plane, so that no external forces act on the arrow in the plane of oscillation.
READING QUIZ angular acceleration. angular velocity. angular mass.
Problem 5 A gyroscope wheel is spinning at a constant angular velocity ws while precessing about a vertical axis at a constant angular velocity wp. The distance from the pivot to the center of the front face of the spinning gyroscope wheel is L, and the radius of the wheel is r.
Determine the acceleration components normal to the wheel, at points A, B, C, D labeled as shown. Problem 6 When a vehicle makes a turn, the two front wheels trace out two arcs as shown in the figure below. The initial conditions are: For the cases where angular acceleration is not constant, new expressions have to be derived for the angular position, angular displacement, and angular velocity.
If the angular acceleration is known as a function of time, we can use Calculus to find the angular position, angular displacement, and angular velocity, in the same manner as before. Since R is constant we get Note that there is no radial component of velocity pointing towards, or away from the center of the circle. This is because the radius R is constant.
If you want to test your understanding and solve some problems go to Circular Motion Problems. Rotational Motion In Three Dimensions Rotational motion in three dimensions is mathematically more complicated than planar rotation about a fixed axis, since the axis of rotation can change direction.
This type of rotation applies to bodies experiencing three-dimensional motion. However, it is generally only necessary and practical to account for such rotation when determining the velocity and acceleration of a point on a body that is experiencing three-dimensional motion.
As a result, three-dimensional rotation does not lend itself to a stand-alone discussion here. For an explanation of three-dimensional motion see A closer look at velocity and acceleration.
For an example of a solved problem involving three-dimensional rotation see Gyro Top.