Motion In A Plane Ques 60

60. An electric fan has blades of length $30 $ $cm$ measured from the axis of rotation. If the fan is rotating at $120 $ $rpm$, the acceleration of a point on the tip of the blade is

[1990]

(a) $1600 $ $ms^{-2}$

(b) $47.4 $ $ms^{-2}$

(c) $23.7 $ $ms^{-2}$

(d) $50.55 $ $ms^{-2}$

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Answer:

Correct Answer: 60.(c)

Solution:

  1. (c) Centripetal acc. $=\omega^{2} r=4 \pi^{2} v^{2} r$

$=4 \times(3.14)^{2} \times \frac{120}{60} \times \frac{30}{100}=23.7 $ $ms^{-2}$

${[\because \omega=2 \pi \nu]}$