Work-energy (torque)
Easyphysics
Constant torque τ turns wheel through angle θ. Work done equals?
Select the correct option:
Solution
Incorrect! Answer:
τ θ
- Definition of Work: In linear motion, W=∫F⋅dx=Fs (for constant force).
- Rotational Analogue: In rotational motion, the work done by a torque is the integral of torque over angular displacement.
- Calculation: W=∫τdθ.
- Constant Condition: For a constant torque τ, this simplifies to W=τΔθ.
- Conclusion: Work done is exactly τθ.
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About This Question
- Subject
- physics
- Chapter
- rotational motion
- Topic
- work-energy (torque)
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
τ θ
- Definition of Work: In linear motion, W=∫F⋅dx=Fs (for constant force).
- Rotational Analogue: In rotational motion, the work done by a torque is the integral of torque over angular displacement.
- Calculation: W=∫τdθ.
- Constant Condition: For a constant torque τ, this simplifies to W=τΔθ.
- Conclusion: Work done is exactly τθ.
This easy difficulty physics question is from the chapter rotational motion, covering the topic of work-energy (torque). It appeared in the 2025 exam.
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