1. **State the problem:** Convert the value of GOP7 from units flurg / grom^2 to meter / second^2 given the conversion factors.
2. **Given:**
- GOP7 = 7.29 flurg / grom^2
- 5.24 flurg = 1 meter
- 1 grom = 0.493 second
3. **Goal:** Express GOP7 in meter / second^2.
4. **Formula and approach:**
We use the unit conversion formulas:
$$\text{GOP7 in meter/second}^2 = 7.29 \times \frac{\text{meters}}{\text{flurg}} \times \frac{\text{seconds}^2}{\text{grom}^2}$$
Since 5.24 flurg = 1 meter, then:
$$1 \text{ flurg} = \frac{1}{5.24} \text{ meter}$$
Since 1 grom = 0.493 second, then:
$$1 \text{ grom} = 0.493 \text{ second} \Rightarrow 1 \text{ grom}^2 = (0.493)^2 \text{ second}^2$$
5. **Convert GOP7:**
$$7.29 \frac{\text{flurg}}{\text{grom}^2} = 7.29 \times \frac{1}{5.24} \frac{\text{meter}}{(0.493)^2 \text{second}^2}$$
6. **Calculate intermediate values:**
$$\frac{1}{5.24} \approx 0.1908397$$
$$0.493^2 = 0.243049$$
7. **Substitute and simplify:**
$$7.29 \times 0.1908397 \times \frac{1}{0.243049} = 7.29 \times 0.1908397 \times 4.115$$
8. **Multiply stepwise:**
$$7.29 \times 0.1908397 = 1.3907$$
$$1.3907 \times 4.115 = 5.720$$
9. **Final answer:**
$$\boxed{5.72 \text{ meter/second}^2}$$
This is the value of GOP7 in meter per second squared units used by your architects.
Unit Conversion 3F933F
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