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Rate of Change with a Tootsie Roll Pop

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by

Jacqueline Huang

on 11 November 2013

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Transcript of Rate of Change with a Tootsie Roll Pop

Rate of Change with a Tootsie Roll Pop
Table: Time vs Radius
Finding the Radius
...
Graph: Time vs Radius
...
By: Jacqueline Huang
How do you find the rate of change of the volume of a (TRP) as you consume it?
dr/dt=-.0013 cm/sec
from the slope of the line of best fit from the time vs radius graph
Table: Time vs Volume
Table: Time vs Change in Volume
Graph: Time vs Change in Volume
Graph: Time vs Volume
dv/dt=4(pi)(r^2)(dr/dt)
Formula dv/dt:
I plugged in dr/dt=-.0013 cm/sec & the radius of TRP at each time interval
Volume of a sphere = 4/3(pi)(r^3)
Calculating Avg Value of the Rate of Change of Volume of the TRP
To calculate the average value of rate of change of the volume, I added up the the rates of change of volume and divided the sum by 11, the number of rates of the change in volume..
Mouth Sucking Power:
-0.02668729 cm^3/sec

cm^3/sec
cm^3/sec
V=(4/3)(Pi)(r^3)
dV/dt=(3)(4/3)(Pi)(r^2)(dr/dt)
Full transcript