What is the relationship between torque (τ), moment of inertia (I), and angular
Practice Questions
Q1
What is the relationship between torque (τ), moment of inertia (I), and angular acceleration (α)?
τ = Iα
τ = α/I
τ = I/α
τ = I + α
Questions & Step-by-Step Solutions
What is the relationship between torque (τ), moment of inertia (I), and angular acceleration (α)?
Correct Answer: τ = Iα
Step 1: Understand what torque (τ) is. Torque is a measure of how much a force acting on an object causes that object to rotate.
Step 2: Learn about moment of inertia (I). Moment of inertia is a measure of how difficult it is to change the rotation of an object. It depends on the mass of the object and how that mass is distributed.
Step 3: Know what angular acceleration (α) is. Angular acceleration is how quickly the rotation speed of an object is changing.
Step 4: Recognize the formula τ = Iα. This formula shows the relationship between torque, moment of inertia, and angular acceleration.
Step 5: Interpret the formula. It means that if you apply a certain torque to an object, the resulting angular acceleration will depend on the object's moment of inertia.
