A (320 mathrm{~g}) can of soup is (10.8 mathrm{~cm}) tall and has a radius of (3.19 mathrm{~cm}).
Question:
A \(320 \mathrm{~g}\) can of soup is \(10.8 \mathrm{~cm}\) tall and has a radius of \(3.19 \mathrm{~cm}\).
(a) Calculate the can's rotational inertia about its axis of symmetry, assuming the can to be a solid cylinder.
(b) When released from rest at the top of a ramp that is \(3.00 \mathrm{~m}\) long and makes an angle of \(25^{\circ}\) with the horizontal, the can reaches the bottom in \(1.40 \mathrm{~s}\). What is the value of rotational inertia obtained from this experiment?
(c) Compare the calculated and experimentally determined rotational inertias and suggest possible reasons for the difference.
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Step by Step Answer:
a To calculate the rotational inertia of the can as a solid cylinder we use the formula I frac12 m r2 where m is the mass of the can r is the radius o...View the full answer
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