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Calculate the speed of the tip of second...

Calculate the speed of the tip of second's hand of a watch of length `1.5 cm`.

A

0.32 cm `s^(-1)`

B

1 cm `s^(-1)`

C

0.16 cm `s^(-1)`

D

0.5 cm `s^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Here, radius r = 1.5 cm, Time taken by second.s hand of a watch to go once around the circle, t = 60 s
from `v=(s)/(t)=(2pi r)/(t)=2xx22/7xx1.5/60=0.16 cm s^(-1)`
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Knowledge Check

  • The angular velocity of seconds hand of a watch is

    A
    `60 pi " rad"//s `
    B
    `(pi)/(60)pi " rad"//s`
    C
    `40pi" rad"//s`
    D
    `(pi)/(30)pi" rad"//s`

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    `(pi)/(60) rad//s`
    B
    `(pi)/(30) rad//s`
    C
    `(pi)/(120) rad//s `
    D
    `(pi)/(2) rad//s`

  • The angular velocity of second's hand of a watch will be.

    A
    `(pi)/(60) rad//sec`
    B
    `(pi)/30 rad//sec`
    C
    `60 pi rad//sec`
    D
    `30 pi rad//sec`

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