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The Dynamics of Rotational Motion Calculator will calculate: Torque in terms of moment of inertia and angular acceleration. Angular momentum in terms of moment of inertia and angular velocity. Rotational work in terms of torque and angular displacement.
Solve for the angular velocity of a rotating rigid body using the work-energy theorem. Find the power delivered to a rotating rigid body given the applied torque and angular velocity. Summarize the rotational variables and equations and relate them to their translational counterparts.
A machine with no rotation can deliver torque - like an electric motor - but since no distance is moved by force - no power is produced. As soon as the machine starts to rotate power is produced. Example - required Torque to produce Power. A machine rotates with speed 3000 rev/min (rpm) and consumes 5 kW.
To solve for \(\alpha\), we must first calculate the torque (which is the same in both cases) and moment of inertia \(I\) (which is greater in the second case). To find the torque, we note that the applied force is perpendicular to the radius and friction is negligible, so that\[\tau = rF \, sin \, \theta = (1.50 \, m)(250 \, N) = 375 \, N ...
Learning Objectives. By the end of this section, you will be able to: Understand the relationship between force, mass and acceleration. Study the turning effect of force. Study the analogy between force and torque, mass and moment of inertia, and linear acceleration and angular acceleration.
Define the physical concept of moment of inertia in terms of the mass distribution from the rotational axis. Explain how the moment of inertia of rigid bodies affects their rotational kinetic energy. Use conservation of mechanical energy to analyze systems undergoing both rotation and translation.
Mastering torque calculations can be incredibly rewarding, whether you’re tightening a bolt, designing machinery, or just satisfying your curiosity about how rotational forces work. With a reliable torque calculator and a bit of know-how, you can tackle any rotational challenge with confidence.
