Question

Convert 420M/ min into Ft/Sec
Use ONLY ONLY these conversions below to help in your conversion
1 foot = 12 inches
3 Foot = 1 yards
5,280 Ft = I mile
1 inch = 2.54 cm
1 Km = 0. 62 miles
1000mm = 1 m
100 cm = 1 m
10 mm = 1 cm
1 Km = 1000 m
60 Sec = 1 min
60 min= 1 hr
24 hr = 1 day
365 days = 1 year
1 days = 1 week
52 weeks = 1 year

Answer 1

To convert 420 meters per minute (M/min) into feet per second (Ft/Sec), we will use the provided conversions.

1. **Convert meters to feet**:
We need to determine the conversion factor from meters to feet. We know:
- 1 inch = 2.54 cm
- 100 cm = 1 m
Thus, 1 m = 100 cm = \( \frac{100}{2.54} \) inches.
Now, we want to convert the inches to feet (1 foot = 12 inches):
\[
1 \text{ m} = \frac{100}{2.54 \times 12} \text{ feet} = \frac{100}{30.48} \text{ feet} \approx 3.28084 \text{ feet}.
\]
For simpler calculations, we can use the approximation:
\[
1 \text{ m} \approx 3.28084 \text{ feet}.
\]

2. **Convert 420 M/min to Ft/min**:
Now, convert 420 m/min to feet/min:
\[
420 \text{ m/min} \times 3.28084 \text{ Ft/m} \approx 420 \times 3.28084 \text{ Ft/min}.
\]
Calculating this gives:
\[
420 \times 3.28084 \approx 1377.355 \text{ Ft/min}.
\]

3. **Convert minutes to seconds**:
We know that:
- 1 min = 60 sec.
Therefore, to convert from Ft/min to Ft/sec:
\[
1377.355 \text{ Ft/min} \div 60 \approx 22.95592 \text{ Ft/sec}.
\]

So, rounding to two decimal places, the final answer is:
\[
\boxed{22.96 \text{ Ft/Sec}}.
\]