MECHANICS OF RIGIDBODY - Rotational Motion

What is the formula for angular velocity?

• angular velocity (ω) = θ / t

• angular velocity (ω) = θ + t

• angular velocity (ω) = θ * t

• angular velocity (ω) = θ - t

Explain the concept of moment of inertia.

• Moment of inertia is a measure of an object's resistance to changes in its temperature.

• Moment of inertia is a measure of an object's resistance to changes in its mass.

• Moment of inertia is a measure of an object's resistance to changes in its linear speed.

• Moment of inertia is a measure of an object's resistance to changes in its rotation speed.

How is torque related to rotational motion?

• Torque is inversely related to rotational motion

• Torque is directly related to rotational motion, as it is the force that causes objects to rotate.

• Torque causes linear motion instead of rotational motion

• Torque has no impact on rotational motion

Define angular acceleration and provide its formula.

• alpha = (change in displacement) / (time taken)

• alpha = (change in linear velocity) / (time taken)

• alpha = (change in angular velocity) / (time taken)

• alpha = (change in speed) / (time taken)

What is the difference between angular velocity and angular acceleration?

• Angular velocity is the second derivative of angular displacement, while angular acceleration is the first derivative of angular velocity.

• Angular velocity is the first derivative of angular displacement, while angular acceleration is the second derivative of angular velocity.

• Angular velocity is the integral of angular displacement, while angular acceleration is the first derivative of angular velocity.

• Angular velocity is the first derivative of angular displacement, while angular acceleration is the first derivative of angular velocity.

Discuss the parallel axis theorem in relation to rotational motion.

• The parallel axis theorem relates to linear motion instead of rotational motion.

• The parallel axis theorem states that the moment of inertia of an object is independent of the axis of rotation.

• The parallel axis theorem only applies to objects with irregular shapes.

• The parallel axis theorem relates the moment of inertia of an object about an axis to the moment of inertia of the object about a parallel axis through its center of mass.

Explain the concept of angular momentum.

• Angular momentum is the rotational equivalent of linear momentum. It is the product of an object's moment of inertia and its angular velocity.

• Angular momentum is the force that causes objects to rotate around a fixed point.

• Angular momentum is the measure of an object's speed in a circular motion.

• Angular momentum is the same as linear momentum but in a different coordinate system.

How does rotational kinetic energy differ from linear kinetic energy?

• Rotational kinetic energy is only applicable to objects with linear velocity, unlike linear kinetic energy.

• Rotational kinetic energy is associated with spinning objects, while linear kinetic energy is associated with moving objects in a straight line.

• Rotational kinetic energy is not affected by the shape of an object, unlike linear kinetic energy.

• Rotational kinetic energy is associated with linear motion, while linear kinetic energy is associated with spinning motion.

What is the significance of conservation of angular momentum?

• The significance of conservation of angular momentum lies in its ability to explain the behavior of rotating objects in the absence of external torques.

• Angular momentum has no impact on rotating objects

• Conservation of angular momentum is only applicable to linear motion

• The conservation of angular momentum is a theoretical concept with no practical applications

Describe the role of torque in rotational equilibrium.

• Torque only affects linear motion, not rotational equilibrium

• Torque has no impact on rotational equilibrium

• Torque plays a crucial role in rotational equilibrium by ensuring that the object remains stationary or rotates at a constant angular velocity.

• Torque causes objects to accelerate in rotational equilibrium