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enyata [817]
4 years ago
15

The radius of the circle traced out by the second hand on a clock is 6.00 cm. In a time t the tip of the second hand moves throu

gh an arc length of 19.0 cm. Determine the value of t in seconds.
Physics
1 answer:
quester [9]4 years ago
5 0

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.

\theta=\frac{l}{r}

Substitute the values then we get

\theta=\frac{19}{6}=3.17 rad

We know that

1 minute=60 seconds

In 60 seconds ,second hand makes an angle=2\piradian

2\pi radian made by second had in 60 sec.

1 radian made by second hand in \frac{60}{2\pi} sec

3.17 rad made by second hand in \frac{60}{2\pi}\times 3.17=\frac{60}{2\times 3.14}\times 3.17=30.29 s

Hence, the value of t =30.29 s

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