If a body has a moment of inertia of 15 kg m² and is subjected to a torque of 5
Practice Questions
Q1
If a body has a moment of inertia of 15 kg m² and is subjected to a torque of 5 N m, what is its angular acceleration?
0.33 rad/s²
0.5 rad/s²
1 rad/s²
3 rad/s²
Questions & Step-by-Step Solutions
If a body has a moment of inertia of 15 kg m² and is subjected to a torque of 5 N m, what is its angular acceleration?
Step 1: Understand the formula for angular acceleration, which is α = τ/I, where α is angular acceleration, τ is torque, and I is moment of inertia.
Step 2: Identify the values given in the question: moment of inertia (I) is 15 kg m² and torque (τ) is 5 N m.
Step 3: Substitute the values into the formula: α = 5 N m / 15 kg m².
Step 4: Perform the division: 5 divided by 15 equals 0.33.
Step 5: Conclude that the angular acceleration α is 0.33 rad/s².
Torque and Angular Acceleration – This question tests the understanding of the relationship between torque, moment of inertia, and angular acceleration, as described by the formula α = τ/I.
