Question

An old fashioned record player spins an album at a rate of 33 1/2 rmp ( revolutions per minute) convert this rate into degrees per second

step by step please ​

Answer 1

Answer: 201 degrees per second

Work Shown:

`\frac{33.5 \text{ rev}}{1 \text{ min}} *\frac{360 \text{ deg}}{1 \text{ rev}}*\frac{1 \text{ min}}{60 \text{ sec}} \\\\`

`=\frac{33.5 \\ot{\text{r}}\\ot{\text{e}}\\ot{\text{v}}}{1 \text{ min}} *\frac{360 \text{ deg}}{1 \\ot{\text{r}}\\ot{\text{e}}\\ot{\text{v}}}*\frac{1 \text{ min}}{60 \text{ sec}} \ \text{ ... 'rev' units cancel}\\\\`

`=\frac{33.5}{1 \text{ min}} *\frac{360 \text{ deg}}{1}*\frac{1 \text{ min}}{60 \text{ sec}} \\\\`

`=\frac{33.5}{1 \\ot{\text{m}}\\ot{\text{i}}\\ot{\text{n}}} *\frac{360 \text{ deg}}{1}*\frac{1 \\ot{\text{m}}\\ot{\text{i}}\\ot{\text{n}}}{60 \text{ sec}} \ \ \text{ ... 'min' units cancel}\\\\`

`=(33.5)/(1) *\frac{360 \text{ deg}}{1}*\frac{1}{60 \text{ sec}}\\\\`

`=(33.5*360)/(60) \text{ degrees per second}`

`=201 \text{ degrees per second}`

Notes:

• 1 revolution = a full 360 degree turn
• rpm = revolutions per minute