What is the relationship between torque (τ), moment of inertia (I), and angular acceleration (α)?
Practice Questions
1 question
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
The relationship is given by τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.
Questions & Step-by-step Solutions
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Q
Q: What is the relationship between torque (τ), moment of inertia (I), and angular acceleration (α)?
Solution: The relationship is given by τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.
Steps: 5
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.
