Suppose the speedometer in your car reads 55.0 mph. What is your speed in m/sec? (1km=0.621 mi)?
1 km = 1000m
one hour = 3600 sec
55 * .621 * 1000 * 3600 = ?
To convert the speed from miles per hour (mph) to meters per second (m/s), we need to use the conversion factor that 1 mile is equal to 1.609 kilometers (km) and 1 kilometer is equal to 1,000 meters (m). Additionally, we know that 1 mile is equal to 0.621 miles according to the given conversion factor.
Here's how you can solve for the speed in m/s:
1. Convert miles to kilometers:
55.0 mph × 0.621 = 34.155 km/h
2. Convert kilometers to meters:
34.155 km/h × 1,000 m/km = 34,155 m/h
3. Convert hours to seconds:
Since 1 hour is equal to 3,600 seconds,
34,155 m/h ÷ 3,600 s/h = 9.487 m/s
So, if the speedometer in your car reads 55.0 mph, your speed is approximately 9.487 m/s.