Question

You obtain the following information through sieve analysis: Particle Diameter (?m) Number of particles in range 20 4 40 9 60 13 80 17 100 20 120 16 140 10 160 6 180 2 (a) Calculate cumulative frequencies for this data (include both undersize and oversize). Show a sample calculation for each frequency type. (b) What kind of distribution does the original data fit in? Show an appropriate plot to support your answer. State the corresponding mathematical function(s) and how you would determine mean and standard deviation. You do not need to determine these values. (c) Using a different powder sample, say you take a portion of it (5g) and you need to figure out what powder no. this sample happens to be. You dump this powder into pairs of sieves and collection pans, and end up with the following information: Sieve combo. No. 8/No.60 No. 20/No. 40 No. 60/No.100 Nominal # 8 20 60 First sieve 0.1g 0.2g 0.2g Second sieve 0.2g 0.3g 4.0g Collection pan 4.7g 4.5g 0.8g What (i) powder no. and (ii) category does this powder fall in? (consult Lecture 2 for the categories, under ‘Description’. HINT: Consider what fell through the last sieve in your calculations and use fineness limits)

          You obtain the following information through sieve analysis:

Particle Diameter (?m) Number of particles in range
20 4
40 9
60 13
80 17
100 20
120 16
140 10
160 6
180 2

(a) Calculate cumulative frequencies for this data (include both undersize and oversize). Show a sample calculation for each frequency type.
(b) What kind of distribution does the original data fit in? Show an appropriate plot to support your answer. State the corresponding mathematical function(s) and how you would determine mean and standard deviation. You do not need to determine these values.
(c) Using a different powder sample, say you take a portion of it (5g) and you need to figure out what powder no. this sample happens to be. You dump this powder into pairs of sieves and collection pans, and end up with the following information:

Sieve combo. No. 8/No.60 No. 20/No. 40 No. 60/No.100
Nominal # 8 20 60
First sieve 0.1g 0.2g 0.2g
Second sieve 0.2g 0.3g 4.0g
Collection pan 4.7g 4.5g 0.8g

What (i) powder no. and (ii) category does this powder fall in? (consult Lecture 2 for the categories, under ‘Description’. HINT: Consider what fell through the last sieve in your calculations and use fineness limits)

You obtain the following information through sieve analysis:

Particle Diameter (?m) Number of particles in range
20 4
40 9
60 13
80 17
100 20
120 16
140 10
160 6
180 2

(a) Calculate cumulative frequencies for this data (include both undersize and oversize). Show a sample calculation for each frequency type.
(b) What kind of distribution does the original data fit in? Show an appropriate plot to support your answer. State the corresponding mathematical function(s) and how you would determine mean and standard deviation. You do not need to determine these values.
(c) Using a different powder sample, say you take a portion of it (5g) and you need to figure out what powder no. this sample happens to be. You dump this powder into pairs of sieves and collection pans, and end up with the following information:

Sieve combo. No. 8/No.60 No. 20/No. 40 No. 60/No.100
Nominal # 8 20 60
First sieve 0.1g 0.2g 0.2g
Second sieve 0.2g 0.3g 4.0g
Collection pan 4.7g 4.5g 0.8g

What (i) powder no. and (ii) category does this powder fall in? (consult Lecture 2 for the categories, under ‘Description’. HINT: Consider what fell through the last sieve in your calculations and use fineness limits)

Added by John C.

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