A torque τ is applied to a rigid body with a moment of inertia I. What is the an
Practice Questions
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
Questions & Step-by-Step Solutions
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.
