1. The problem is to convert an acceleration value from meters per minute squared to meters per second squared.
2. The given acceleration is $8$ meters per minute squared ($8\ \text{m/min}^2$).
3. We know that 1 minute = 60 seconds.
4. To convert from meters per minute squared to meters per second squared, we use the conversion factor for time squared:
$$1\ \text{min}^2 = (60\ \text{s})^2 = 3600\ \text{s}^2$$
5. Therefore, to convert $8\ \text{m/min}^2$ to $\text{m/s}^2$, we divide by $3600$:
$$8\ \text{m/min}^2 = \frac{8}{3600}\ \text{m/s}^2$$
6. Simplify the fraction:
$$\frac{8}{3600} = \frac{\cancel{8}}{\cancel{3600}} = \frac{2}{900} = \frac{1}{450}$$
7. So the acceleration in meters per second squared is:
$$\boxed{\frac{1}{450}\ \text{m/s}^2}$$
This means the acceleration is approximately $0.00222\ \text{m/s}^2$.
Acceleration Conversion 2F7860
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