Rotation and Torque Practice

How does torque affect rotational motion?

• Torque has no effect on rotational motion.

• Torque causes changes in rotational motion, influencing the angular velocity and direction of an object.

• Torque only affects linear motion, not rotational motion.

• Torque is the same as angular momentum.

What is the unit of Torque?

• Newton-meter (Nm)

• Joule (J)

• Watt (W)

• Pascal (Pa)

What is the formula for angular displacement?

• θ = ω_initial * t + 0.5 * α * t^2

• θ = ω_initial * t - 0.5 * α * t^2

• θ = α * t^2

• θ = ω_initial * t + α * t

How do you calculate angular acceleration?

• Angular acceleration (α) is calculated by the change in angular velocity (Δω) divided by the time interval (Δt): α = Δω / Δt.

• Angular acceleration (α) is calculated by the product of angular velocity (ω) and time interval (Δt): α = ω * Δt.

• Angular acceleration (α) is calculated by the sum of angular velocity (ω) and time interval (Δt): α = ω + Δt.

• Angular acceleration (α) is calculated by the difference in angular velocity (Δω) divided by the square of the time interval (Δt): α = Δω / Δt².

What is the relationship between torque and angular acceleration?

• Torque (τ) is equal to the moment of inertia (I) multiplied by angular acceleration (α).

• Torque (τ) is the product of angular velocity (ω) and moment of inertia (I).

• Torque (τ) is inversely proportional to angular acceleration (α).

• Torque (τ) is the sum of forces acting on an object.

What is the relationship between linear and angular acceleration?

• Linear acceleration (a) is equal to the angular acceleration (α) multiplied by the radius (r) of the circular path: a = r * α.

• Linear acceleration (a) is the square of the angular acceleration (α): a = α^2.

• Linear acceleration (a) is independent of angular acceleration (α).

• Linear acceleration (a) is the derivative of angular acceleration (α) with respect to time.

What direction does torque act in relation to the pivot point?

• Torque always acts in a clockwise direction.

• Torque can act in a clockwise or counterclockwise direction depending on the direction of the applied force.

• Torque only acts in a counterclockwise direction.

• Torque does not have a specific direction.

What is the significance of the angle in the torque formula?

• The angle determines the direction of the force applied.

• The angle affects the speed of the rotation.

• The angle determines how effectively the force contributes to the rotation; a force applied perpendicular to the lever arm (θ = 90°) produces maximum torque.

• The angle has no effect on the torque produced.

What is the difference between static and dynamic torque?

• Static torque is the torque required to maintain an object in motion, while dynamic torque is the torque required to keep an object at rest.

• Static torque refers to the torque required to maintain an object at rest, while dynamic torque refers to the torque required to keep an object in motion.

• Static torque is always greater than dynamic torque in all scenarios.

• Static torque and dynamic torque are the same and can be used interchangeably.

If a merry-go-round starts from rest and reaches an angular speed of 2 radians/second in 3 seconds, what is its angular acceleration?

• 1 rad/s²

• 2/3 rad/s²

• 1/2 rad/s²

• 3 rad/s²