Angular Kinematics and Energy Quiz

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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. Signup and view all the answers

What is the term for the acceleration responsible for changing the magnitude of velocity in non-uniform circular motion?

Tangential acceleration Signup and view all the answers

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. Signup and view all the answers

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. Signup and view all the answers

In non-uniform circular motion, what is changing at every instant along with the magnitude of tangential velocity?

Angular velocity Signup and view all the answers

What is the direction of the angular acceleration in the same plane motion for increasing speed?

Along the direction of angular velocity Signup and view all the answers

In the example provided, what is the angle through which the fan blades move while stopping?

42π radians Signup and view all the answers

What is the final angular velocity of the fan after it stops?

0 Signup and view all the answers

What is the term for the acceleration always tangential in non-uniform circular motion?

Tangential acceleration Signup and view all the answers

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. Signup and view all the answers

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. Signup and view all the answers

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. Signup and view all the answers

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. Signup and view all the answers

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. Signup and view all the answers

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). Signup and view all the answers