A torque of 15 N·m is applied to a wheel with a moment of inertia of 3 kg·m². Wh
Practice Questions
Q1
A torque of 15 N·m is applied to a wheel with a moment of inertia of 3 kg·m². What is the angular acceleration? (2023)
3 rad/s²
5 rad/s²
10 rad/s²
15 rad/s²
Questions & Step-by-Step Solutions
A torque of 15 N·m is applied to a wheel with a moment of inertia of 3 kg·m². What is the angular acceleration? (2023)
Step 1: Identify the given values. We have a torque (τ) of 15 N·m and a moment of inertia (I) of 3 kg·m².
Step 2: Write down the formula that relates torque, moment of inertia, and angular acceleration. The formula is τ = Iα.
Step 3: Rearrange the formula to solve for angular acceleration (α). This gives us α = τ/I.
Step 4: Substitute the values into the formula. We have α = 15 N·m / 3 kg·m².
Step 5: Perform the division. Calculate 15 divided by 3, which equals 5.
Step 6: State the final result. 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) using the formula τ = Iα.
