Problem 5. Determine whether equations (i) and (ii) below are dimensionally cons

Question

Problem 5. Determine whether equations (i) and (ii) below are dimensionally consistent (i) v = x + t where W = work. P-pressure, = volume, x distance, y-distance, v = velocity, t = time, and a = acceleration (a) (i) is dimensionally consistent; (ii) is dimensionally inconsistent (b) (i) is dimensionally inconsistent; (ii) is dimensionally consistent (c) (i) and (ii) are both dimensionally consistent (d) (i) and (ii) are both dimensionally inconsistent Density, specific volume, specific weight Problem 6. The mass of an unknown gas mixture in a room that is 3 m × 3 m × 5 m is known to be 9 kg. What is the specific volume v of the gas in 1n3/kg? (a) O

Explanation / Answer

5. D) Both are dimensionally inconsistent

6. specific volume v = ( volume/ mass) i.e., 45/9=5 >4

Option e. 4 <= v

7. C) A body immersed in a fluid is buoyed up with a force equal to weight of liquid displaced by the body.

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