Convert the following:
a. 36 km/h into m/s
b. 120 m/s into km/h
c. 10 km/h into m/s
d. 1 m/s into km/h
Ans {(a) 10 m/s (b) 432 km/h (c) 2.778 m/s (d) 3.6 km/h}
Solution:
Since 1 km = 1000 m and 1 hrs = 3600 sec
So, [ Converting from larger unit to smaller unit we multiply with the factor}
36 km/h into m/s = `\frac {36 x1000 m}{1 x3600 s}`
or
36 km/h into m/s = `\frac {36 x1000 m}{1 x3600s}`
36 km/h into m/s = 10 m/s --------------Ans.1
(b) 120 m/s into km/h
Since 1 km = 1000 m and 1 hrs = 3600 sec
So, [ Converting from smaller unit to larger unit we divide with the factor}
120 m/s into km/h = `\frac {120/1000 km}{1/3600 h}`
or
120 m/s into km/h = `\frac {120 x3600 km}{1000 h}`
120 m/s into km/h = 432 km/h --------------Ans.2
(c) 10 km/h into m/s
Since 1 km = 1000 m and 1 hrs = 3600 sec
So, [ Converting from larger unit to smaller unit we multiply with the factor}
36 km/h into m/s = `\frac {10 x1000 m}{1 x3600 s}`
or
36 km/h into m/s = `\frac {10 x1000 m}{1 x3600s}`
36 km/h into m/s = 2.778 m/s --------------Ans.3
(d) 1 m/s into km/h
Since 1 km = 1000 m and 1 hrs = 3600 sec
So, [ Converting from smaller unit to larger unit we divide with the factor}
120 m/s into km/h = `\frac {1/1000 km}{1/3600 h}`
or
120 m/s into km/h = `\frac {1 x3600 km}{1000 h}`
120 m/s into km/h = 3.6 km/h --------------Ans.4
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