A rotameter provides a measurement of volumetric fiow rate, in this case in unit

Question

A rotameter provides a measurement of volumetric fiow rate, in this case in units of gal lons per minute. The calibration of this device will be performed by filling a bucket of known volume and using a stop watch to mark the time required. In this way the actual average flow rate can be calculated as For a bucket volume of 8 gallons and an average ll time of 30 seconds, calculate the flow rate and estimate the total uncertainty in the calculation of volumetric flow rate (units should be gpm). Assume the stopwatch accu- racy is ±0.1s and the bucket volume accuracy is ±1.5%. If repeated experiments result in a standard deviation of 2 seconds, combine the with the bias uncertainty for a total uncertainty in flow rate measure- ment

Explanation / Answer

Given that,

    Q = Volume / time

      Volume = 8 gallons      time = 30 sec = 0.5 min

       Q = 8 / 0.5 = 16 gpm.

Now, Calculate the Q for the accuracy of the volume and time

      If the accuracy of stopwatch is added, then t = 30.1 s and 29.9 s

     Volume will be , V = 8.12 gallons and 7.88

Now find ,Q for these both cases,

    Q for first case, i.e; V = 8.12 & t = 30.1s = 0.501 min

         Q = 8.12 / 0.501

             = 16.2 gpm

And for the second case, i.e; V = 7.88 gallons    and    t = 29.9 s = 0.498 min

   Q = 7.88 / 0.498

     = 15.82 gpm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.