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)
Practice Questions
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Q1
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)
τ/I
I/τ
τ^2/I
I^2/τ
According to Newton's second law for rotation, τ = Iα, thus α = τ/I.
Questions & Step-by-step Solutions
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Q
Q: 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)
Solution: According to Newton's second law for rotation, τ = Iα, thus α = τ/I.
Steps: 6
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.
