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:

Options

A. ` 0.2047 rad //s, 0.0314 ms^(-1)`
B. ` 0.2547 rad//s, 0.314 ms ^(-1)`
C. ` 0.1472 rad//s, 0.06314 ms^(-1)`
D. ` 0.347 rad//s, 0.314 ms ^(-1)`

Answer

D

Explanation

Angular velocity of second .s hand
` " " (2pi)/(60) `
` " " = (pi )/(30)`
`" " (3.14)/(30)`
` " " = 0.1047 rad//s `
Linear velocity , ` v= r omega `
` " " = 3xx 10^(-2) xx 0.1047`
`" " = 0.00314 m//s`