A torque τ is applied to a rigid body with a moment of inertia I. What is the an

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Question: A torque τ is applied to a rigid body with a moment of inertia I. What is the angular acceleration α produced in the body? (2019)

Options:

Correct Answer: τ/I

Exam Year: 2019

Solution:

According to Newton\'s second law for rotation, τ = Iα, thus α = τ/I.

A torque τ is applied to a rigid body with a moment of inertia I. What is the angular acceleration α produced in the body? (2019)

A torque τ is applied to a rigid body with a moment of inertia I. What is the angular acceleration α produced in the body? (2019)

Step 1: Understand that torque (τ) is a force that causes an object to rotate.
Step 2: Know that moment of inertia (I) is a measure of how difficult it is to change the rotation of an object.
Step 3: Recall Newton's second law for rotation, which states that torque (τ) is equal to moment of inertia (I) multiplied by angular acceleration (α).
Step 4: Write the equation: τ = Iα.
Step 5: To find angular acceleration (α), rearrange the equation to solve for α: α = τ/I.
Step 6: This means that angular acceleration is found by dividing the torque by the moment of inertia.

Torque and Angular Acceleration – The relationship between torque, moment of inertia, and angular acceleration is defined by the equation τ = Iα, which is the rotational analog of Newton's second law.