Answer:
30.29 s
Explanation:
We are given that
Radius=r=6 cm
Length of an arc=l=19 cm
We have to find the value of t in seconds.
[tex]\theta=\frac{l}{r}[/tex]
Substitute the values then we get
[tex]\theta=\frac{19}{6}=3.17 rad[/tex]
We know that
1 minute=60 seconds
In 60 seconds ,second hand makes an angle=[tex]2\pi[/tex]radian
[tex]2\pi[/tex] radian made by second had in 60 sec.
1 radian made by second hand in [tex]\frac{60}{2\pi}[/tex] sec
3.17 rad made by second hand in [tex]\frac{60}{2\pi}\times 3.17=\frac{60}{2\times 3.14}\times 3.17=30.29 s[/tex]
Hence, the value of t =30.29 s
