A torque of 10 Nm is applied to a wheel with a moment of inertia of 2 kg·m². Wha
Practice Questions
Q1
A torque of 10 Nm is applied to a wheel with a moment of inertia of 2 kg·m². What is the angular acceleration?
5 rad/s²
10 rad/s²
2 rad/s²
20 rad/s²
Questions & Step-by-Step Solutions
A torque of 10 Nm is applied to a wheel with a moment of inertia of 2 kg·m². What is the angular acceleration?
Correct Answer: 5 rad/s²
Step 1: Understand the formula for torque, which is τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.
Step 2: Identify the values given in the question: torque (τ) is 10 Nm and moment of inertia (I) is 2 kg·m².
Step 3: Rearrange the formula to solve for angular acceleration (α): α = τ / I.
Step 4: Substitute the values into the formula: α = 10 Nm / 2 kg·m².
Step 5: Perform the division: 10 divided by 2 equals 5.
Step 6: Conclude that the angular acceleration (α) is 5 rad/s².
Torque and Angular Acceleration – This question tests the understanding of the relationship between torque (τ), moment of inertia (I), and angular acceleration (α) as described by the equation τ = Iα.
