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An electric fan has blades of length 30 ...

An electric fan has blades of length `30 cm` as measured from the axis of rotation. If the fan is rotating at `1200 rpm`, find the acceleration of a point on the tip of a blade.

A

`1600 ms^(-2)`

B

`4740 ms^(-2)`

C

`2370 ms^(-2)`

D

`5055 ms^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Acceleration of a point at the tip of the blade
= centripetal acceleration
`= omega^(2) R = (2pi upsilon)^2R`
`=(2xx(22)/(7) xx(1200)/(60))^2 xx30/100 = 4740 ms^(-2)`
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Knowledge Check

  • An electric fan has blades of length 30 cm as measured from the axis of rotation .If the fan is rotating at 1200 r.p.m., then the acceleration of a point on the tip of the blade is ("take" pi^(2)=10)

    A
    `1600m//s^(2)`
    B
    `3200m//s^(2)`
    C
    `4800 m//s^(2)`
    D
    `600m//s^(2)`

  • An electric fan has blades of length 30 cm neasured from the axis of rotation. If the fanrotating at 120 rev/min. the acceleration of a point on the tip if the blade is

    A
    `1600ms^(-2)`
    B
    `47.4ms^(-2)`
    C
    `23.7ms^(-2)`
    D
    `50.55ms^(-2)`

  • A coin of 4 g mass is placed at a distance of 2 cm from the axis of rotation a disc,. If the frequancy of disc is 180 rpm, then the coefficient of friction between the coin at rest and disc will be

    A
    `0.07249`
    B
    `7.249`
    C
    `72.49`
    D
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