Question

A sling is being rotated at the rate of 100 rpm

Answer 1

Answer:

a) $r = 3.820\,m$, b) $v\approx 10.472\,\frac{m}{s}$

Explanation:

a) The needed length is found by the following formula:

$r = \frac{v}{\omega}$

$r = \frac{40\,\frac{m}{s} }{(100\,rpm)\cdot(\frac{2\cdot \pi}{1\,rev} )\cdot (\frac{1\,min}{60\,s} )}$

$r \approx 3.820\,m$

b) The required speed is:

$v = \omega \cdot r$

$v = (100\,rpm)\cdot (\frac{2\cdot \pi}{1\,rev} )\cdot (\frac{1\,min}{60\,s} )\cdot(1\,m)$

$v\approx 10.472\,\frac{m}{s}$