Question

An electric fan has blades of length 30 cm as measured from axis of rotation .If fan is rotating at 1200 rpm The acceleration on tip is

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Answer 1

Answer:

your answer is in the attachment

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Answer 2

Correct Question: An electric fan has blades of length 30 cm as measured from axis of rotation . If fan is rotating at 120 rpm, the acceleration on tip is?

Answer:

Acceleration, Ac = 47.41 m/s²

Explanation:

[The given case is of Uniform Circular Motion]

Given;-

              Radius, R= 30 cm

                           R= 30/100 m

                           R= 3/10 m

Rotation (frequency), f= 120/ min

                           f= 120/60

                           f= 2 Hz (or 2 revolutions/sec)

Now,                ω=  2 × 2π (since, ω = 2π/t)

                         ω= 4π

Here, acceleration on the tip of the blade refers to the centripetal acceleration. So, let the centripetal acceleration be 'Ac'. Then:-

                   Ac = ω² R    [By formula]

                   Ac = (4π)² × 3/10   [From the given values]

                   Ac = 16π² × 3/10

                   Ac = 16 × 22/7 × 22/7 × 3/10

                   Ac = 48 × 22 × 11/ 49 × 5

                   Ac = 11616/245

                   Ac = 47.41 m/s²

Hence, the centripetal acceleration on the tip is 47.41 m/s².

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