**Category:** Electromagnetism  
**Subtype:** Electromagnetic Induction  
**Problem Description:** Calculate the heat generated in a closed loop of wire as it rotates in a magnetic field.

**Details:**
- The problem involves a closed loop of wire with a cross-sectional area \( S = 100 \, \text{cm}^2 \) and resistance \( R = 0.314 \, \Omega \).
- The wire is placed in a uniform magnetic field with a magnetic flux density \( B = 0.1 \, \text{T} \).
- The loop rotates with an angular velocity \( \omega = 100 \, \text{rad/s} \) around an axis that is in the plane of the loop and perpendicular to the magnetic field lines.
- The task is to find the amount of heat generated after the loop completes 1000 rotations. 

This problem requires applying concepts from electromagnetic induction to determine the induced electromotive force (emf) and subsequently the heat produced due to the resistance of the wire.