Convert a quantity featuring powers of a unit. The traffic light turns green, an

Question

Convert a quantity featuring powers of a unit. The traffic light turns green, and the driver of a high-performance car slams the acceleration to the floor. The accelerations registers 22.0 m/s^2. Convert this reading to k/min^2. Here we need one factor to convert meters to kilometers and another two factors to convert seconds squared to minutes squared. Multiply by the three factors 22.0/1.00s^2 (1.00km/1.00 times 10^3 m)(60.0s/1.00min)^2 = Notice that in each conversion factor the numerator equals the denominator when units are taken Into account. A common error in dealing with squares is to square the units inside the parentheses while forgetting to square the numbers! What is the numerical part of the time conversion factor, apart from units, that would be used to further convert the answer to km/h5 ? Use the worked example above to help you solve this problem. The traffic light turns green, and the driver of a high-performance car slams the accelerator to the floor. The accelerometer registers 15.0 m/s5. Convert this reading to km/min^3.

Explanation / Answer

Question -

To convert the unit 'km/min^2' into 'km/h^2',

multiply the result by 60x60 = 3600.

Practice problem -

15 m/s^2 = (15/1000)*(60x60) = 54 km/min^2

Excercise problem -

4.0x10^3 g/m^3 = (4.0x10^3/10^6) g/cm^3 = 4.0x10^-3 g/cm^3

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