Thank you for visiting A horse is trotting at 30 miles per hour How fast is that in meters per second 1 mi 1609 m 1 hr 3600 s. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Sure! Here’s a step-by-step solution to convert the horse's trotting speed from miles per hour (mph) to meters per second (m/s):
1. Understand the given values:
- Speed of the horse: 30 miles per hour (mph)
- Conversion factor for distance: [tex]\(1 \text{ mile} = 1609 \text{ meters}\)[/tex]
- Conversion factor for time: [tex]\(1 \text{ hour} = 3600 \text{ seconds}\)[/tex]
2. Convert the speed to meters per second:
- Start by converting the speed from miles to meters:
[tex]\[
\text{Speed in meters per hour} = 30 \, \text{miles per hour} \times 1609 \, \text{meters per mile}
\][/tex]
[tex]\[
\text{Speed in meters per hour} = 30 \times 1609
\][/tex]
- Calculate the result:
[tex]\[
\text{Speed in meters per hour} = 48270 \, \text{meters per hour}
\][/tex]
3. Convert the speed from meters per hour to meters per second:
- Since there are 3600 seconds in an hour, divide the speed by 3600:
[tex]\[
\text{Speed in meters per second} = \frac{48270 \, \text{meters per hour}}{3600 \, \text{seconds per hour}}
\][/tex]
- Calculate the result:
[tex]\[
\text{Speed in meters per second} = \frac{48270}{3600}
\][/tex]
- Perform the division:
[tex]\[
\text{Speed in meters per second} \approx 13.408333333333333
\][/tex]
Therefore, the horse's speed is approximately [tex]\(13.41 \, \text{meters per second}\)[/tex].
1. Understand the given values:
- Speed of the horse: 30 miles per hour (mph)
- Conversion factor for distance: [tex]\(1 \text{ mile} = 1609 \text{ meters}\)[/tex]
- Conversion factor for time: [tex]\(1 \text{ hour} = 3600 \text{ seconds}\)[/tex]
2. Convert the speed to meters per second:
- Start by converting the speed from miles to meters:
[tex]\[
\text{Speed in meters per hour} = 30 \, \text{miles per hour} \times 1609 \, \text{meters per mile}
\][/tex]
[tex]\[
\text{Speed in meters per hour} = 30 \times 1609
\][/tex]
- Calculate the result:
[tex]\[
\text{Speed in meters per hour} = 48270 \, \text{meters per hour}
\][/tex]
3. Convert the speed from meters per hour to meters per second:
- Since there are 3600 seconds in an hour, divide the speed by 3600:
[tex]\[
\text{Speed in meters per second} = \frac{48270 \, \text{meters per hour}}{3600 \, \text{seconds per hour}}
\][/tex]
- Calculate the result:
[tex]\[
\text{Speed in meters per second} = \frac{48270}{3600}
\][/tex]
- Perform the division:
[tex]\[
\text{Speed in meters per second} \approx 13.408333333333333
\][/tex]
Therefore, the horse's speed is approximately [tex]\(13.41 \, \text{meters per second}\)[/tex].
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