Understanding Work in Rotational Motion

Thread starter UrbanXrisis
Start date Mar 30, 2005
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Motion

AI Thread Summary

Work in rotational motion is calculated using the integral of torque over the angle, expressed as W = ∫(τ dθ) from the initial angle θ_i to the final angle θ_f. This simplifies to W = τ(θ_f - θ_i), analogous to linear work calculated as W = ∫(F dx) which simplifies to W = F(x_f - x_i). The discussion confirms the similarity between rotational and linear work equations, emphasizing the role of torque in rotational systems. Understanding these relationships is crucial for applying concepts of work in physics. The clarity in these equations aids in grasping the principles of rotational dynamics.

Mar 30, 2005

UrbanXrisis

work--rotational motion

This question is related to rotational motion...

The work done by an object in rotational motion is \int^{\theta_f}_{\theta_i}\tau d \theta

Does this mean W=\tau(\theta_f - \theta_i)?

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Mar 30, 2005

whozum

Yes.

Compare to W = \int_{x_i}^{x_f}{F}{dx} = F(x_f-x_i)

Mar 30, 2005

UrbanXrisis

yeah, that's what I was thinking, thanks for the verification

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