The students conduct the experiment and gather data about the net torque exerted on the door and angular acceleration of the door for several trials. They create a graph of the door's angular acceleration as a function of the net torque and sketch a best-fit line through the data.

Using our kinematics result that the tangential acceleration is aθ, i = riαz, where αz is the z -component of angular acceleration, we have that. Fθ, i = Δmiriαz. From Equation (17.3.8), the component of the torque about the z -axis is then given by. (→τS, i)z = riFθ, i = Δmir2 iαz.

When a torque acts on an object, it will change its angular velocity. That is, it will experience an angular acceleration. The torque arises from a force exerted at a distance and at an angle that causes the object to spin faster or slower. The relationship …

Mar 13, 2025 · Graphs of angular displacement, angular velocity, and angular acceleration as functions of time can be used to find the relationships between those quantities These graphs can be interpreted in the same way as graphs of linear motion

of the system. From an experimental point-of-view, the moment of inertia of a system can be determined by measuring the net torque on a system and the angular acceleration and then. plotting vs. . The slope of this plot will then be the moment of inertia f.

Calculate the angular acceleration of the wheel, the linear acceleration of the mass m, and the tension in the cord. This is a good example with which to test your comprehension of torques and rotational motion.

Objectives: To understand the relationship between net torque and angular acceleration. To understand the concept of the moment of inertia. To understand the concept of angular momentum. To understand that the angular momentum is conserved if there is zero net torque.

Dec 10, 2023 · The experimental results are as expected to the accepted relationship between torque and angular acceleration. Here, net torque is equal to rotational inertia multiplied by the angular acceleration; hence, the graph creates a linear line.

Therefore, friction causes a constant net torque on the disk which causes the disk to have a constant clockwise (negative) angular acceleration. A constant negative angular acceleration on an angular velocity as a function of time graph is a line with a constant negative slope.

In an experiment, the rod is initially at rest and student exerts a net torque on the rod. Data are collected to create a graph of the rod's angular acceleration as a function of time, as shown in Figure 2. Frictional forces are considered to be negligible. How can the student use the graph to determine the angular momentum of the rod at 5 s?