Answer: the design stage uncertainty is ±5.6 rpm
Explanation:
Given that;
machine with an analog display dial graduated in 5 revolutions per minute (rpm) increments; Q = 5 rpm
now lets calculate zero order uncertainty in this machine
⇒ ± 1/2Q = 1/2(5) = ± 2.5 rpm
given that accuracy is 0.1% of reading
0.1% of 5000 rmp = 0.1/100 × 5000 = 5 rpm
now the design stage uncertainty at 5000 rpm will be;
⇒ √((5)² + (2.5)²)
= √(25 + 6.25)
= √ 31.25
= ±5.59 ≈ ±5.6 rpm
Therefore the design stage uncertainty is ±5.6 rpm
