Question
Convert 24Km / hrs into m / Sec
Use 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
Use 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
Answers
GPT-4o mini
To convert a speed of 24 kilometers per hour (Km/hr) into meters per second (m/sec), we can use the direct conversions and the relationship between hours and seconds.
We know that:
- 1 kilometer = 1000 meters
- 1 hour = 3600 seconds (since 60 minutes x 60 seconds = 3600 seconds)
Now we can do the conversion:
\[
\text{Speed in m/sec} = \text{Speed in Km/hr} \times \left(\frac{1000 \text{ m}}{1 \text{ Km}}\right) \times \left(\frac{1 \text{ hr}}{3600 \text{ sec}}\right)
\]
Substituting the values:
\[
\text{Speed in m/sec} = 24 \text{ Km/hr} \times \frac{1000 \text{ m}}{1 \text{ Km}} \times \frac{1 \text{ hr}}{3600 \text{ sec}}
\]
Calculating it step by step:
\[
= 24 \times \frac{1000}{3600}
\]
Simplifying:
\[
= 24 \times \frac{10}{36} \quad (\text{since } 1000/3600 = 10/36)
\]
\[
= 24 \times \frac{5}{18}
\]
\[
= \frac{120}{18}
\]
\[
= \frac{20}{3} \quad \text{(which is approximately } 6.67\text{ m/sec)}
\]
So, the conversion of 24 kilometers per hour is approximately **6.67 meters per second**.
We know that:
- 1 kilometer = 1000 meters
- 1 hour = 3600 seconds (since 60 minutes x 60 seconds = 3600 seconds)
Now we can do the conversion:
\[
\text{Speed in m/sec} = \text{Speed in Km/hr} \times \left(\frac{1000 \text{ m}}{1 \text{ Km}}\right) \times \left(\frac{1 \text{ hr}}{3600 \text{ sec}}\right)
\]
Substituting the values:
\[
\text{Speed in m/sec} = 24 \text{ Km/hr} \times \frac{1000 \text{ m}}{1 \text{ Km}} \times \frac{1 \text{ hr}}{3600 \text{ sec}}
\]
Calculating it step by step:
\[
= 24 \times \frac{1000}{3600}
\]
Simplifying:
\[
= 24 \times \frac{10}{36} \quad (\text{since } 1000/3600 = 10/36)
\]
\[
= 24 \times \frac{5}{18}
\]
\[
= \frac{120}{18}
\]
\[
= \frac{20}{3} \quad \text{(which is approximately } 6.67\text{ m/sec)}
\]
So, the conversion of 24 kilometers per hour is approximately **6.67 meters per second**.
How do you convert the hrs into meters?
GPT-4o mini
It looks like there might be a bit of confusion in terminology. When converting speed from kilometers per hour (Km/hr) to meters per second (m/sec), you're dealing with units of speed, not directly converting hours into meters.
Here's how the conversion works in terms of the components involved:
1. **Kilometers to Meters:**
- 1 kilometer (Km) = 1000 meters (m).
2. **Hours to Seconds:**
- 1 hour (hr) = 3600 seconds (sec) (because 1 hour = 60 minutes, and each minute = 60 seconds, leading to 60 * 60 = 3600 seconds).
When you want to convert a speed expressed in kilometers per hour to meters per second, you follow these steps mathematically:
- **Given speed**: 24 Km/hr
- Convert kilometers to meters by multiplying by 1000.
- Convert hours to seconds by dividing by 3600.
Thus, the overall formula for converting Km/hr to m/sec is:
\[
\text{Speed in m/sec} = \text{Speed in Km/hr} \times \left(\frac{1000 \text{ m}}{1 \text{ Km}}\right) \times \left(\frac{1 \text{ hr}}{3600 \text{ sec}}\right)
\]
So to clarify, you are not converting hours into meters directly. Rather, you're converting the speed from one unit system (Km/hr) into another (m/sec) by using the appropriate conversion factors for both kilometers to meters and hours to seconds.
In summary:
- You are converting the distance (in kilometers) to distance (in meters).
- You are converting time (in hours) to time (in seconds).
This results in a speed in meters per second.
Here's how the conversion works in terms of the components involved:
1. **Kilometers to Meters:**
- 1 kilometer (Km) = 1000 meters (m).
2. **Hours to Seconds:**
- 1 hour (hr) = 3600 seconds (sec) (because 1 hour = 60 minutes, and each minute = 60 seconds, leading to 60 * 60 = 3600 seconds).
When you want to convert a speed expressed in kilometers per hour to meters per second, you follow these steps mathematically:
- **Given speed**: 24 Km/hr
- Convert kilometers to meters by multiplying by 1000.
- Convert hours to seconds by dividing by 3600.
Thus, the overall formula for converting Km/hr to m/sec is:
\[
\text{Speed in m/sec} = \text{Speed in Km/hr} \times \left(\frac{1000 \text{ m}}{1 \text{ Km}}\right) \times \left(\frac{1 \text{ hr}}{3600 \text{ sec}}\right)
\]
So to clarify, you are not converting hours into meters directly. Rather, you're converting the speed from one unit system (Km/hr) into another (m/sec) by using the appropriate conversion factors for both kilometers to meters and hours to seconds.
In summary:
- You are converting the distance (in kilometers) to distance (in meters).
- You are converting time (in hours) to time (in seconds).
This results in a speed in meters per second.
Oh ok so I have this set up
24Km/ 1 hr X 1000m/1Km X 1hr/60min X 1 Min/60 sec
So all of them cancel out except for 1000 meters and 60 seconds so when I multiply numerators and denominators and divide my final maser is 6.666 But that’s not right I’m supposed to get 7.5 what did I do wrong?
24Km/ 1 hr X 1000m/1Km X 1hr/60min X 1 Min/60 sec
So all of them cancel out except for 1000 meters and 60 seconds so when I multiply numerators and denominators and divide my final maser is 6.666 But that’s not right I’m supposed to get 7.5 what did I do wrong?
GPT-4o mini
Let's break down the setup you have and see where the error might be.
You correctly set up the conversion, but let's ensure we do the conversions step-by-step.
Your initial expression is:
\[
\frac{24 \text{ Km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ Km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}
\]
Let's rearrange it a bit to make things clearer:
\[
= 24 \times \frac{1000 \text{ m}}{1 \text{ Km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}
\]
Now, let's address each component:
1. **Convert kilometers to meters:**
- \(1000 \text{ m} / 1 \text{ Km} \Rightarrow 24 \times 1000 \text{ m}\)
2. **Convert hours to seconds:**
- You need to convert hours to seconds, but you should use the correct conversion chain. There are 3600 seconds in an hour.
So instead of converting to minutes and then to seconds, we can directly apply the conversion factor of 3600 seconds per hour.
Instead, let's rewrite the conversion step correctly:
To go from hours to seconds properly, you can do it directly like this:
\[
\frac{24 \text{ Km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ Km}} \times \frac{1 \text{ hr}}{3600 \text{ sec}}
\]
Now this simplifies to:
\[
= 24 \times 1000 \text{ m} \times \frac{1}{3600 \text{ sec}}
\]
So you would perform:
\[
= \frac{24000 \text{ m}}{3600 \text{ sec}}
\]
Now when you divide:
\[
\frac{24000}{3600} = \frac{2400}{360} = \frac{240}{36} = \frac{20}{3} \approx 6.67 \text{ m/sec}
\]
This result gives approximately \(6.67\) m/sec, which is the same result I calculated before.
### Finding 7.5 m/sec
If you're expecting \(7.5\) m/sec as the answer, it looks like there might be a misunderstanding. Given the conversion rates, 24 Km/hr translates closely to \(6.67\) m/sec using the correct method outlined.
If you still think it should be \(7.5\), please double-check that the original speed is indeed \(24\) Km/hr. For \(7.5\) m/sec, the speed in Km/hr would actually be:
\[
7.5 \text{ m/sec} \times \frac{3600 \text{ sec}}{1 \text{ hr}} \times \frac{1 \text{ Km}}{1000 \text{ m}} = 27 \text{ Km/hr}
\]
The correct conversions affirm that \(24\) Km/hr equates to approximately \(6.67\) m/sec, and not \(7.5\).
You correctly set up the conversion, but let's ensure we do the conversions step-by-step.
Your initial expression is:
\[
\frac{24 \text{ Km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ Km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}
\]
Let's rearrange it a bit to make things clearer:
\[
= 24 \times \frac{1000 \text{ m}}{1 \text{ Km}} \times \frac{1 \text{ hr}}{60 \text{ min}} \times \frac{1 \text{ min}}{60 \text{ sec}}
\]
Now, let's address each component:
1. **Convert kilometers to meters:**
- \(1000 \text{ m} / 1 \text{ Km} \Rightarrow 24 \times 1000 \text{ m}\)
2. **Convert hours to seconds:**
- You need to convert hours to seconds, but you should use the correct conversion chain. There are 3600 seconds in an hour.
So instead of converting to minutes and then to seconds, we can directly apply the conversion factor of 3600 seconds per hour.
Instead, let's rewrite the conversion step correctly:
To go from hours to seconds properly, you can do it directly like this:
\[
\frac{24 \text{ Km}}{1 \text{ hr}} \times \frac{1000 \text{ m}}{1 \text{ Km}} \times \frac{1 \text{ hr}}{3600 \text{ sec}}
\]
Now this simplifies to:
\[
= 24 \times 1000 \text{ m} \times \frac{1}{3600 \text{ sec}}
\]
So you would perform:
\[
= \frac{24000 \text{ m}}{3600 \text{ sec}}
\]
Now when you divide:
\[
\frac{24000}{3600} = \frac{2400}{360} = \frac{240}{36} = \frac{20}{3} \approx 6.67 \text{ m/sec}
\]
This result gives approximately \(6.67\) m/sec, which is the same result I calculated before.
### Finding 7.5 m/sec
If you're expecting \(7.5\) m/sec as the answer, it looks like there might be a misunderstanding. Given the conversion rates, 24 Km/hr translates closely to \(6.67\) m/sec using the correct method outlined.
If you still think it should be \(7.5\), please double-check that the original speed is indeed \(24\) Km/hr. For \(7.5\) m/sec, the speed in Km/hr would actually be:
\[
7.5 \text{ m/sec} \times \frac{3600 \text{ sec}}{1 \text{ hr}} \times \frac{1 \text{ Km}}{1000 \text{ m}} = 27 \text{ Km/hr}
\]
The correct conversions affirm that \(24\) Km/hr equates to approximately \(6.67\) m/sec, and not \(7.5\).