A bob moves in a horizontal circle on a string at angular speed ω with tension T. Keeping radius fixed, if its speed doubles to 2ω, the tension becomes:
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Question

A bob moves in a horizontal circle on a string at angular speed ω with tension T. Keeping radius fixed, if its speed doubles to 2ω, the tension becomes:

G1 Physics · Accepted Answer

Step 1: The required radial force is F=mω²r. Step 2: If the angular speed doubles with unchanged r, the radial tension grows by factor (2ω/ω)²=4. Final answer: A — 4T.