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Question 1:

Which of the following is a rotational counterpart of linear displacement?

A) Angular displacement
B) Angular velocity
C) Torque
D) Rotational inertia

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Explanation: The correct answer is A) Angular displacement. In rotational motion, the rotational counterpart of linear displacement is angular displacement. It represents the angle through which an object rotates or the change in its orientation with respect to a reference point or axis.

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Question 2:

Which of the following equations relates angular velocity, angular acceleration, and time?

A) ω = αt
B) ω = Δθ/t
C) α = ω/t
D) α = Δθ/t

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Explanation: The correct answer is A) ω = αt. This equation relates the angular velocity (ω), the angular acceleration (α), and the time (t) in rotational motion. It states that the angular velocity is equal to the angular acceleration multiplied by time.

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Question 3:

Which of the following is a rotational counterpart of linear acceleration?

A) Angular acceleration
B) Moment of inertia
C) Centripetal force
D) Angular momentum

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Explanation: The correct answer is A) Angular acceleration. In rotational motion, the rotational counterpart of linear acceleration is angular acceleration. It represents the rate of change of angular velocity over time.

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Question 4:

Which of the following equations relates torque, moment of inertia, and angular acceleration?

A) τ = Iα
B) τ = α/I
C) τ = α/t
D) τ = I/t

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Explanation: The correct answer is A) τ = Iα. This equation relates torque (τ), moment of inertia (I), and angular acceleration (α) in rotational motion. It states that the torque applied to an object is equal to the product of its moment of inertia and its angular acceleration.

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Question 5:

Which of the following quantities is a measure of an object's resistance to rotational motion?

A) Angular velocity
B) Angular momentum
C) Torque
D) Moment of inertia

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Explanation: The correct answer is D) Moment of inertia. Moment of inertia is a measure of an object's resistance to rotational motion. It depends on both the mass distribution and the shape of the object. Objects with a higher moment of inertia require more torque to produce the same angular acceleration.