Complete the following.
(a) 1.57 105 km/h2 = km/h·s
(b) 1.57 105 km/h2 = m/s2
(c) 37 mi/h = ft/s
(d) 37 mi/h = m/s
I don't understand how to convert these i have tried to convert them and i got them all wrong please help! Thanks
I will do two:
1.57E5km/h^2 (1E3m/km)(hr/3.6E3)^2
37mi/hr*1.6km/mi*1E3m/km*1hr/3600s
To convert units, you need to use conversion factors. A conversion factor is a ratio that allows you to switch from one unit to another. Here are the conversion factors you'll need for the given conversions:
- 1 km = 1000 m
- 1 mi = 5280 ft
- 1 h = 3600 s
Now let's go through each conversion step by step:
(a) 1.57 * 10^5 km/h^2 = km/h*s
We want to convert from km/h^2 to km/h*s. To do this, we need to multiply by the appropriate conversion factor: 1 h = 3600 s.
So the conversion would be:
1.57 * 10^5 km/h^2 * (1 h / 3600 s) = 43.61 km/h*s
(b) 1.57 * 10^5 km/h^2 = m/s^2
To convert from km/h^2 to m/s^2, we need to use two conversion factors:
1 km = 1000 m and 1 h = 3600 s.
The conversion would be:
1.57 * 10^5 km/h^2 * (1000 m / 1 km) * (1 h / 3600 s) = 43.61 m/s^2
(c) 37 mi/h = ft/s
We want to convert from mi/h to ft/s. The conversion factor to use is 1 mi = 5280 ft.
The conversion would be:
37 mi/h * (5280 ft / 1 mi) * (1 h / 3600 s) = 54.27 ft/s
(d) 37 mi/h = m/s
To convert from mi/h to m/s, we need to use two conversion factors:
1 mi = 1609.34 m and 1 h = 3600 s.
The conversion would be:
37 mi/h * (1609.34 m / 1 mi) * (1 h / 3600 s) = 16.55 m/s
These are the correct conversions for the given values. Remember, always carefully analyze the units you're given and the units you want to convert to, and use the appropriate conversion factors.