A torque of 10 N·m is applied to a wheel with a moment of inertia of 2 kg·m². Wh
Practice Questions
Q1
A torque of 10 N·m is applied to a wheel with a moment of inertia of 2 kg·m². What is the angular acceleration of the wheel?
5 rad/s²
10 rad/s²
2 rad/s²
20 rad/s²
Questions & Step-by-Step Solutions
A torque of 10 N·m is applied to a wheel with a moment of inertia of 2 kg·m². What is the angular acceleration of the wheel?
Step 1: Understand the formula for angular acceleration, which is α = τ / I.
Step 2: Identify the values given in the question: torque (τ) is 10 N·m and moment of inertia (I) is 2 kg·m².
Step 3: Substitute the values into the formula: α = 10 N·m / 2 kg·m².
Step 4: Perform the division: 10 divided by 2 equals 5.
Step 5: 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.
Units of Measurement – It assesses the ability to correctly interpret and manipulate units of torque (N·m) and moment of inertia (kg·m²) to find angular acceleration (rad/s²).
