Difference between revisions of "User:Msf24"
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let <math>I</math> be the rotational inertia of the roll <math>I</math>= <math>\frac{1}{2}(M)(R)^2</math> | let <math>I</math> be the rotational inertia of the roll <math>I</math>= <math>\frac{1}{2}(M)(R)^2</math> | ||
− | And let <math>\ | + | let <math>R</math> be the radius of the roll of toilet paper |
+ | |||
+ | And let <math>\tau</math>be the torque | ||
+ | |||
+ | now in order to rip the toilet paper, <math>\tau = f \times R</math> | ||
Revision as of 03:42, 30 December 2009
Work to see how fast one must pull on toilet paper to get it to tear:
let \(f\) be the force required to tear it
let \(M\) be the Mass of the toilet paper roll
let \(I\) be the rotational inertia of the roll \(I\)= \(\frac{1}{2}(M)(R)^2\)
let \(R\) be the radius of the roll of toilet paper
And let \(\tau\)be the torque
now in order to rip the toilet paper, \(\tau = f \times R\)
Variations/Modifications:
You could require the students to derive \(I\)
You could require the students to calculate \(M\) given information about the dimensions and how heavy some toilet paper is