If a torque of 10 Nm is applied to a body with a moment of inertia of 2 kg·m², w

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Question: If a torque of 10 Nm is applied to a body with a moment of inertia of 2 kg·m², what is the angular acceleration? (2022)

Options:

Correct Answer: 5 rad/s²

Exam Year: 2022

Solution:

Using the formula τ = Iα, we have α = τ/I = 10 Nm / 2 kg·m² = 5 rad/s².

If a torque of 10 Nm is applied to a body with a moment of inertia of 2 kg·m², what is the angular acceleration? (2022)

If a torque of 10 Nm is applied to a body with a moment of inertia of 2 kg·m², what is the angular acceleration? (2022)

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 – The relationship between torque (τ), moment of inertia (I), and angular acceleration (α) is described by the equation τ = Iα.
Units of Measurement – Understanding the units involved, such as Newton-meters (Nm) for torque and kg·m² for moment of inertia, is crucial for correct calculations.