18 Questions
What is the centripetal force responsible for in circular motion?
It is responsible for the acceleration towards the center of the circle.
Explain the difference between centripetal force and centrifugal force.
Centripetal force is real and acts towards the center, while centrifugal force is a non-real force that acts outward.
How does angular acceleration affect the direction of angular velocity?
Angular acceleration can change the direction of angular velocity, which in turn changes the plane of rotation.
What is the formula for centripetal force in circular motion?
The formula for centripetal force is $F_{c} = m \cdot a_{r}$, where $a_{r}$ is the radial acceleration.
What is the term for the acceleration responsible for changing the magnitude of velocity in non-uniform circular motion?
Tangential acceleration
Explain the concept of torque in rotational motion.
Torque is the measure of the force that can cause an object to rotate around an axis.
Why is centrifugal force considered a non-real force?
Centrifugal force is considered non-real because it is actually a result of inertia and not an actual force.
In non-uniform circular motion, what is changing at every instant along with the magnitude of tangential velocity?
Angular velocity
What is the direction of the angular acceleration in the same plane motion for increasing speed?
Along the direction of angular velocity
In the example provided, what is the angle through which the fan blades move while stopping?
42π radians
What is the final angular velocity of the fan after it stops?
0
What is the term for the acceleration always tangential in non-uniform circular motion?
Tangential acceleration
What is the definition of moment of inertia?
Moment of inertia is defined to be the rotational inertia or moment of inertia (M.I.) of the object about the given axis of rotation.
How does the moment of inertia of an object change for different axes of rotation?
The moment of inertia of an object depends on the mass distribution around the axis of rotation; for a different axis, it will again depend on the mass distribution around that axis.
What does the moment of inertia of an object depend on?
The moment of inertia depends on individual masses and their distribution around the given axis of rotation.
Define torque in the context of rotational motion.
Torque is the effort needed to rotate an object about an axis and is related to force, distance from the axis, and the angle between the force and the lever arm.
What is the relationship between angular displacement and torque when opening a door with hinges?
When opening a door with hinges, giving a certain angular displacement requires an effort, which is related to the torque applied.
How is rotational kinetic energy related to translational kinetic energy?
Rotational kinetic energy (K.E.) is analogous to translational kinetic energy and is defined in terms of the moment of inertia (I) and angular speed (ω).
Test your understanding of angular displacement, velocity, force, torque, and kinetic energy in a system involving a bob undergoing vertical and horizontal motions. Explore kinematic equations, centripetal acceleration, and the relationship between displacement, velocity, and force.
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