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20 lip 2022 · Torque Equation for Fixed Axis Rotation For fixed-axis rotation, there is a direct relation between the component of the torque along the axis of rotation and angular acceleration. Consider the forces that act on the rotating body.
- Torque
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- 10.7: Torque
In this section, we define torque and make an argument for...
- Torque
Equation 10.25 is Newton’s second law for rotation and tells us how to relate torque, moment of inertia, and rotational kinematics. This is called the equation for rotational dynamics. With this equation, we can solve a whole class of problems involving force and rotation.
In this section, we define torque and make an argument for the equation for calculating torque for a rigid body with fixed-axis rotation. Defining Torque So far we have defined many variables that are rotational equivalents to their translational counterparts.
Torque is a vector since angular acceleration is a vector, and rotational inertia is a scalar. Let us examine which variables torque depends on by thinking about its units: \[\tau=I\alpha=\Big[kg\cdot m^2\Big]\Big[\frac{\textrm{rad}}{s^2}\Big]=\Big[\frac{kg\cdot m^2}{s^2}\Big]=[N\cdot m]\label{units}\]
Rotational kinematics is the study of how rotating objects move. Let’s start by looking at various points on a rotating disk, such as a compact disc in a CD player. EXPLORATION 10.1 - A rotating disk. Step 1 – Mark a few points on a rotating disk and look at their instantaneous velocities as the disk rotates.
We've looked at the rotational equivalents of displacement, velocity, and acceleration; now we'll extend the parallel between straight-line motion and rotational motion by investigating the rotational equivalent of force, which is torque.
In the end, we get an analogous formula for Newton's second law of rotation with two new quantities: torque, the rotational equivalent to force. τ = r × F. and moment of inertia, the rotational equivalent to mass
