Minimum speed at top of vertical circle (v_min = √(rg) at top of circle)
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v_min = √(rg) at top of circle
What each symbol means
| Symbol | What it stands for |
|---|---|
| g | Acceleration due to gravity (9.8 m/s²) |
| r | Radius of the vertical circle (m) |
| v_min | Minimum speed at the top (m/s) |
When to use this
For string/rod: at top, tension ≥ 0 gives v ≥ √(rg). At bottom: v ≥ √(5rg) for complete circle. For rigid rod: v_min = 0 at top (rod can push). Energy conservation: ½mv²_bottom = ½mv²_top + 2mgr.