Given that the moment of inertia of a solid uniform disc of mass m and radius r is i 1 2mr 2 estimate the rotational quantum number when the disc is rotating at 33 r p m.
Moment of inertia of a vinyl record.
The moment of inertia of an object is a calculated measure for a rigid body that is undergoing rotational motion around a fixed axis.
Area moment of inertia or moment of inertia for an area also known as second moment of area i is a property of shape that is used to predict deflection bending and stress in beams.
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That is to say it measures how difficult it would be to change an object s current rotational speed.
A horizontal vinyl record of mass 0 10 kg and radius 0 1 m rotates freely about a vertical axis through its center with an angular speed of 4 7 rad s.
A horizontal vinyl record of mass 0 10 kg and radius 0 10 m rotates freely about a vertical axis through its center with an angular speed of 4 7 rad s and a moment of inertia of 5 0 10 4 kg m2.
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The mass of a vinyl gramophone record is 130 g and its diameter is 30 cm.
1 in 4 4 16x10 5 mm 4 41 6 cm 4.
Area moment of inertia metric units.
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Area moment of inertia imperial units.
Customary system m is in slugs 1 slug 32 2 pounds and r in feet with i expressed in terms of slug foot square.
The unit of moment of inertia is a composite unit of measure.
A 5 points use the table at the end of this exam to determine the moment of inertia of the vinyl record b 6 points if the vinyl record is given an angular acceleration of a 4 rad s how much torque did the record player apply to the vinyl record.
1 cm 4 10 8 m 4 10 4 mm 4.
Putty of mass 0 020 kg drops vertically onto the record from above and sticks to the edge of the record.
A typical vinyl record has a mass of about 175g and a diameter of about 30 cm.
In the international system si m is expressed in kilograms and r in metres with i moment of inertia having the dimension kilogram metre square.
The moment of inertia of any body having a shape that.