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If the length of the second's hand in a ...

If the length of the second's hand in a stop clock is 3 cm the angular velocity and linear velocity of the tip is

A

0.2047 rad/s, `0.0314 ms^(-1)`

B

0.2547 rad/s, `0.0314 ms^(-1)`

C

0.1472 rad/s, `0.06341 ms^(-1)`

D

0.1047 rad/s, `0.00314 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, ` r = 3 cm = 3 xx 10 ^(-2) m T = 60 s `
`:. omega=(2pi)/T=(2xx(22//7))/60=0.1047` rad//s
`v = r omega=(3xx10^(-2))xx0.1047 = 0.00314 ms^(-1)`
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