Question: 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?
Options:
2 rad/s²
5 rad/s²
10 rad/s²
20 rad/s²
Correct Answer: 5 rad/s²
Solution:
Using τ = Iα, we have α = τ/I = 10 N·m / 2 kg·m² = 5 rad/s².
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?
2 rad/s²
5 rad/s²
10 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?
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 apply units in the context of rotational dynamics, ensuring that the units of torque and moment of inertia are properly understood.
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