A stone is tied to one end of a string and is rotated in a horizontal circle with a uniform angular velocity. Let T be the tension in the string. If the length of the string is halved and the angular velocity of the stone is doubled, the tension in the string will be

Question

A stone is tied to one end of a string and is rotated in a horizontal circle with a uniform angular velocity. Let T be the tension in the string. If the length of the string is halved and the angular velocity of the stone is doubled, the tension in the string will be, 2 T, 4 T, T, 8 T

MARKS App · Accepted Answer

Tension in the string Initial T 1 = m ω 2 r Finally T 2 = m r 2 · 2 ω 2 = 2 mr ω 2 T 2 T 1 = 2

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