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SirMathy
Group Title
The depth of water in a glass at each time is measured, as coloured water flowed in at a constant rate. The results are tabulated below:
T (s) V (mL)
10 2
20 2.6
30 3
40 3.3
50 3.5
60 3.7
70 3.9
80 4.1
90 4.3
100 4.4
1) Determine the depth of water in the glass as a function of time. Assume that depth at t=0 is 0cm.
2) Using geometry, determine a theoretical equation for the depth as a function of time.
 one year ago
 one year ago
SirMathy Group Title
The depth of water in a glass at each time is measured, as coloured water flowed in at a constant rate. The results are tabulated below: T (s) V (mL) 10 2 20 2.6 30 3 40 3.3 50 3.5 60 3.7 70 3.9 80 4.1 90 4.3 100 4.4 1) Determine the depth of water in the glass as a function of time. Assume that depth at t=0 is 0cm. 2) Using geometry, determine a theoretical equation for the depth as a function of time.
 one year ago
 one year ago

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CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
Wouldn't you need to know the width of the glass?
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
I guess "V" is supposed to be depth.....
 one year ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
But V is in units of milliliters . . .
 one year ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
It can be done keeping the base area of the glass as a variable expression. Maybe assume it is a cylinder and let r = radius?
 one year ago

SirMathy Group TitleBest ResponseYou've already chosen the best response.1
the radius is 3.2cm and the depth is 4.8cm
 one year ago

soty2013 Group TitleBest ResponseYou've already chosen the best response.0
@CliffSedge you just keep answering. you too are useless like me ... as you said me earlier, you could be suspended soon.
 one year ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
@soty2013 What?
 one year ago

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
A radius of 3.2 cm implies a base area of π(3.2)^2 cm^2. Divide the volume by that area to get the height.
 one year ago

SirMathy Group TitleBest ResponseYou've already chosen the best response.1
for the V(ml), it is meant to be D(cm)
 one year ago

estudier Group TitleBest ResponseYou've already chosen the best response.0
Questions 1 and 2 seem to be the same question now.... From 40 to 90, depth goes up by 0.2 per 10 secs so if we take that as the "real" rate Depth = 0.02t
 one year ago
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