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Svetradugi [14.3K]
3 years ago
8

A thread is being pulled off a spool at the rate of

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0

Answer:

The radius of the spool is 3.7 cm

Step-by-step explanation:

Consider the provided information.

The rate is 59.4 cm per sec and it makes 152 revolutions per min.

We need to find the radius.

Now use the formula: r=\frac{v}{\omega}

Substitute \omega=152\ and\ v=59.4 in above formula and change the revolutions per min to rad per second.

r=59.4\frac{cm}{sec}(\frac{1}{152}\times \frac{min}{rev}\times\frac{60sec}{1min}\times\frac{1rev}{2\pi rad})

r=\frac{3564}{304\pi}cm

r\approx 3.7cm

Hence, the radius of the spool is 3.7 cm

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