Problem: If we multiply all design dimensions of an object by a scaling factor f, its volume and mass will be multiplied by f3.a) By what factor will its moment of inertia be multiplied?b) If a (1/48)large{{frac{1}{48}}}-scale model has a rotational kinetic energy of 2.5 J, what will be the kinetic energy for the full-scale object of the same material rotating at the same angular velocity?
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Problem Details
If we multiply all design dimensions of an object by a scaling factor f, its volume and mass will be multiplied by f3.
a) By what factor will its moment of inertia be multiplied?
b) If a (1/48)-scale model has a rotational kinetic energy of 2.5 J, what will be the kinetic energy for the full-scale object of the same material rotating at the same angular velocity?
a) By what factor will its moment of inertia be multiplied?
b) If a (1/48)-scale model has a rotational kinetic energy of 2.5 J, what will be the kinetic energy for the full-scale object of the same material rotating at the same angular velocity?
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Our tutors have indicated that to solve this problem you will need to apply the Intro to Rotational Kinetic Energy concept. You can view video lessons to learn Intro to Rotational Kinetic Energy. Or if you need more Intro to Rotational Kinetic Energy practice, you can also practice Intro to Rotational Kinetic Energy practice problems.
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