All Flashcards
How do you determine work done from a torque-angle graph?
Calculate the area under the curve of the graph.
How do you determine the sign of work done by torque?
If torque and angular displacement are in the same direction, work is positive. If they are in opposite directions, work is negative.
How do you calculate the work done by a constant torque?
The work done by a constant torque is calculated by multiplying the torque by the angular displacement: .
How do you calculate work done by a variable torque?
The work done by a variable torque is calculated by integrating the torque with respect to the angular displacement: .
How do you determine work done from a torque vs. angular position graph?
The work done is equal to the area under the torque vs. angular position curve.
What is the first step to solving a rotational work-energy problem?
Identify all the torques acting on the object and their respective angular displacements.
What is the final step to solving a rotational work-energy problem?
Apply the work-energy theorem or the principle of conservation of energy to relate the work done to the change in rotational kinetic energy.
What is the effect of applying a torque to a stationary object?
It causes the object to undergo angular acceleration, initiating or changing its rotational motion.
What happens when positive work is done by a torque on a rotating object?
The rotational kinetic energy of the object increases, causing it to speed up.
What is the effect of negative work done by a torque on a rotating object?
The rotational kinetic energy of the object decreases, causing it to slow down.
What happens when the net torque on an object is zero?
The object's angular velocity remains constant (it either remains at rest or continues rotating at a constant rate).
What is the result of increasing the moment of inertia of an object while applying the same torque?
The angular acceleration of the object decreases.