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#### karush

##### Well-known member

- Jan 31, 2012

- 2,771

two pulleys connected by a belt have 15cm and 8cm radius

The larger pulley rotates $25$ times in $36$ sec,

Find the angular speed of each pulleey in radians per second.

the 15cm pulley has circumferce of $30\pi$ so

$\displaystyle\frac{25\text { rev}}{36 \text {sec}}

\cdot\frac{30\pi\text{ cm}}{ rev}

=\frac{750\text{ cm\pi}}{36\text {sec}}

=\frac{65.5\text{ cm}\text{ rad}}{\text{sec}}$

not sure how to get the v of the \(\displaystyle 8cm \) pulley

The larger pulley rotates $25$ times in $36$ sec,

Find the angular speed of each pulleey in radians per second.

the 15cm pulley has circumferce of $30\pi$ so

$\displaystyle\frac{25\text { rev}}{36 \text {sec}}

\cdot\frac{30\pi\text{ cm}}{ rev}

=\frac{750\text{ cm\pi}}{36\text {sec}}

=\frac{65.5\text{ cm}\text{ rad}}{\text{sec}}$

not sure how to get the v of the \(\displaystyle 8cm \) pulley

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