Convert the following to the SI unit i. 360km/hr to m/s. ii. 50g/dm3 to kg/m3
Question
Convert the following to the SI unit i. 360km/hr to m/s. ii. 50g/dm3 to kg/m3
Solution
To convert 360 km/hr to m/s, we can use the following steps:
i. First, we need to convert kilometers to meters. Since there are 1000 meters in 1 kilometer, we can multiply 360 km by 1000 to get the distance in meters.
360 km * 1000 = 360,000 meters
ii. Next, we need to convert hours to seconds. Since there are 3600 seconds in 1 hour, we can multiply 360 by 3600 to get the time in seconds.
360 hr * 3600 = 1,296,000 seconds
iii. Finally, we can divide the distance in meters by the time in seconds to get the speed in meters per second.
360,000 meters / 1,296,000 seconds = 0.2778 m/s
Therefore, 360 km/hr is equal to approximately 0.2778 m/s.
To convert 50 g/dm3 to kg/m3, we can use the following steps:
i. First, we need to convert grams to kilograms. Since there are 1000 grams in 1 kilogram, we can divide 50 g by 1000 to get the mass in kilograms.
50 g / 1000 = 0.05 kg
ii. Next, we need to convert cubic decimeters to cubic meters. Since there are 1000 cubic decimeters in 1 cubic meter, we can divide 50 dm3 by 1000 to get the volume in cubic meters.
50 dm3 / 1000 = 0.05 m3
iii. Finally, we can divide the mass in kilograms by the volume in cubic meters to get the density in kilograms per cubic meter.
0.05 kg / 0.05 m3 = 1 kg/m3
Therefore, 50 g/dm3 is equal to 1 kg/m3.
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