Certainly! Let's convert a speed of 60 kilometers per hour (km/hr) into millimeters per second (mm/s) in a detailed, step-by-step manner.
### Step-by-Step Solution
1. Convert kilometers to millimeters:
- There are 1,000 meters in a kilometer (km).
- There are 1,000 millimeters in a meter (m).
- Therefore, there are [tex]\( 1,000 \times 1,000 = 1,000,000 \)[/tex] millimeters in a kilometer.
2. Convert speed from km/hr to mm/hr:
- Since 1 km is equivalent to 1,000,000 mm, a speed of 60 km/hr can be converted to mm/hr by multiplying it by 1,000,000.
- [tex]\( 60 \, \text{km/hr} \times 1,000,000 \, \text{mm/km} = 60,000,000 \, \text{mm/hr} \)[/tex]
3. Convert hours to seconds:
- There are 60 minutes in an hour.
- There are 60 seconds in a minute.
- Therefore, there are [tex]\( 60 \times 60 = 3,600 \)[/tex] seconds in an hour.
4. Convert speed from mm/hr to mm/s:
- To convert from mm/hr to mm/s, divide the speed in mm/hr by the number of seconds in an hour.
- [tex]\( 60,000,000 \, \text{mm/hr} \div 3,600 \, \text{s/hr} = 16,666.666666666668 \, \text{mm/s} \)[/tex]
### Summary
- The speed of 60 km/hr is equivalent to 60,000,000 mm/hr.
- When converted to mm/s, this speed is approximately 16,666.67 mm/s.
Finally,
[tex]\[
60 \, \text{km/hr} = 16,666.67 \, \text{mm/s}
\][/tex]
This completes the conversion from [tex]\( 60 \, \text{km/hr} \)[/tex] to [tex]\( \text{mm/s} \)[/tex] with step-by-step explanations.
