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प्रश्न
A particle performs uniform circular motion in a horizontal plane. The radius of the circle is 10 cm. If the centripetal force F is kept constant but the angular velocity is halved, the new radius of the path will be ______.
पर्याय
10 cm
20 cm
40 cm
5 cm
MCQ
रिकाम्या जागा भरा
उत्तर
A particle performs uniform circular motion in a horizontal plane. The radius of the circle is 10 cm. If the centripetal force F is kept constant but the angular velocity is halved, the new radius of the path will be 40cm.
Explanation:
F = m`omega^2`R
∴ R `alpha 1/omega^2` (m and Fare constant)
If `omega` is halved, then radius will become 4 times i.e., `"R"_2 = 4"R"_1 = 4 xx 10 = 40 "cm"`
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