If the length of the seconds hand in a stop-clock is 3 cm , the angular velocity and linear velocity of the tip is:

Question

If the length of the seconds hand in a stop-clock is 3 cm , the angular velocity and linear velocity of the tip is: (A)  0.2047 text rad/s, text 0.0314 text ms-1  (B)  0.2547 text rad/s, text 0.314 text ms-1  (C)  0.1472 text rad/s, text 0.06314 text ms-1  (D)  0.1047 text rad/s, text 0.00314 text ms-1

Tardigrade Admin · Accepted Answer

Angular velocity of seconds hand =(2π /60) =(π /30) =(3.14/30) =0.1047 text rad/s Linear velocity, v=rω =3× 10-2× 0.1047 =0.00314 m/s

Q. If the length of the seconds hand in a stop-clock is $3 c m$ , the angular velocity and linear velocity of the tip is:

$0.2047 r a d / s, 0.0314 m s^{- 1}$

$0.2547 r a d / s, 0.314 m s^{- 1}$

$0.1472 r a d / s, 0.06314 m s^{- 1}$

$0.1047 r a d / s, 0.00314 m s^{- 1}$

$0.347 r a d / s, 0.314 m s^{- 1}$

Angular velocity of seconds hand $= \frac{2 π}{60}$
$= \frac{π}{30}$
$= \frac{3.14}{30}$
$= 0.1047 r a d / s < b r >$ Linear velocity, $v = r ω$
$= 3 \times 10^{- 2} \times 0.1047$
$= 0.00314 m / s$

Q. If the length of the seconds hand in a stop-clock is 3cm , the angular velocity and linear velocity of the tip is:

0.2047rad/s,0.0314ms−1

0.2547rad/s,0.314ms−1

0.1472rad/s,0.06314ms−1

0.1047rad/s,0.00314ms−1

0.347rad/s,0.314ms−1

Angular velocity of seconds hand =602π​ =30π​ =303.14​ =0.1047rad/s<br> Linear velocity, v=rω =3×10−2×0.1047 =0.00314m/s