Question

Convert 9.83 m/s with a radius of 0.85 m to rotations per minute (rpm)

Answer 1

Answer: Conversion of 9.83 m/s with a radius of 0.85 m into rotations per minute (rpm) is
`99.25 m^(-1)`.

Step-by-step explanation:

Given: Speed = 9.83 m/s

Convert m/s into m/minute as follows.

`1 min = 60 sec\\9.83 m/s = 9.83 m/s * (60 s)/(1 min)\\= 529.8 m/min`

Radius = 0.85 m

Now, rotations take place in circular motion. So, the circumference of a circle is
`2 \pi r`.

Therefore, circumference is calculated as follows.

`Circumference = 2 * pi * r\\= 2 * 3.14 * 0.85 m\\= 5.338 m`

Formula used to calculate rotations per minute (rpm) are as follows.

`rpm = (speed (in meter per minute))/(circumference)\\= (529.8 m/min)/(5.338 m)\\= 99.25 m^(-1)`

Thus, we can conclude that conversion of 9.83 m/s with a radius of 0.85 m into rotations per minute (rpm) is
`99.25 m^(-1)`.