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"How Many Licks" Tootsie Roll Help
1. Homework Statement [/b]
In an activity, i was supposed to determine the rate of change of volume of a tootsie rool as i consume it.
My initial radius is 1.21 cm at t=0 sec
the rest of my data is
30 sec- 1.27 cm
60 sec-1.25 cm
90 sec- 1.24 cm
120 sec- 1.22 cm
150 sec- 1.21 cm
180 sec- 1.21 cm
210 sec- 1.20 cm
240 sec- 1.19 cm
270 sec- 1.18 cm
300 sec- 1.16 cm
1. Determine the rate of change of the TRP for you mouth power.
Answer:
dr/dt = 1.25-1.27 / 90-60 = -0.00067 cm/s
did i do this right?
2. If you consumed it consistently what model should you find?
I graphed it and it showed the line decreasing with respect to time.
So does this mean that it is a decreasing exponential function?
3. Determine how fast the volume of the lolly pop is decreasing when the radius is thre fourths of the original value.
My original radius was 1.27 cm and 3/4 of that is 0.9525 cm
i know that the volume of the sphere is 4/3(pi)(r)^3
V=4/3(pi)(.9525)^3
= 3.62 cm
Did i do this right?
Now it asks for dV/dt=
i don't understand what this means, can someone explain the formulas and steps to get my answer. Maybe chain rule
1. Homework Statement [/b]
In an activity, i was supposed to determine the rate of change of volume of a tootsie rool as i consume it.
My initial radius is 1.21 cm at t=0 sec
the rest of my data is
30 sec- 1.27 cm
60 sec-1.25 cm
90 sec- 1.24 cm
120 sec- 1.22 cm
150 sec- 1.21 cm
180 sec- 1.21 cm
210 sec- 1.20 cm
240 sec- 1.19 cm
270 sec- 1.18 cm
300 sec- 1.16 cm
1. Determine the rate of change of the TRP for you mouth power.
Answer:
dr/dt = 1.25-1.27 / 90-60 = -0.00067 cm/s
did i do this right?
2. If you consumed it consistently what model should you find?
I graphed it and it showed the line decreasing with respect to time.
So does this mean that it is a decreasing exponential function?
3. Determine how fast the volume of the lolly pop is decreasing when the radius is thre fourths of the original value.
My original radius was 1.27 cm and 3/4 of that is 0.9525 cm
i know that the volume of the sphere is 4/3(pi)(r)^3
V=4/3(pi)(.9525)^3
= 3.62 cm
Did i do this right?
Now it asks for dV/dt=
i don't understand what this means, can someone explain the formulas and steps to get my answer. Maybe chain rule