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Units And Measurement

Question
CBSEENPH11019870

Fill in the blanks by suitable conversion of units:

c) 3.0 m s–2= .... km h –1

Solution
3.88 x 10-4 km h-2

Tips: -

1 space straight m space equals space 10 to the power of negative 3 end exponent space km

1 space straight s space equals space fraction numerator 1 over denominator 3600 space end fraction space straight h space rightwards double arrow space 1 space straight s to the power of negative 1 end exponent space equals space 3600 space straight h to the power of negative 1 end exponent space
1 space straight s to the power of negative 2 end exponent space equals left parenthesis 3600 right parenthesis squared space straight h to the power of negative 2 end exponent

therefore space 3 space straight m space straight s to the power of negative 2 end exponent space equals left parenthesis 3 cross times 10 to the power of negative 3 end exponent space km right parenthesis space cross times left parenthesis 3600 right parenthesis squared space straight h to the power of negative 2 end exponent space

space space space space space space space space space space space space space space space space space space space equals space 3.88 space cross times space 10 to the power of negative 4 end exponent space km space straight h to the power of negative 2 end exponent