Moment Of Inertia Of A Vinyl Record

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Moment of inertia of a vinyl record.

The moment of inertia of any body having a shape that. 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. The rotational inertia of the record about its axis of rotation is 0 0005 kg m 2. Area moment of inertia imperial units.

The moment of inertia of an object is a calculated measure for a rigid body that is undergoing rotational motion around a fixed axis. The smith street band. Find your nearest store. A typical vinyl record has a mass of about 175g and a diameter of about 30 cm.

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. 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. That is to say it measures how difficult it would be to change an object s current rotational speed. The mass of a vinyl gramophone record is 130 g and its diameter is 30 cm.

The unit of moment of inertia is a composite unit of measure. 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. Customary system m is in slugs 1 slug 32 2 pounds and r in feet with i expressed in terms of slug foot square. That measurement is calculated based upon the distribution of mass within the object and the position of the axis meaning that the same object can have very.

A horizontal vinyl record of mass 0 0664 kg and radius 0 0714 m rotates freely about a vertical axis through its center with an angular speed of 4 31 rad s and a rotational inertia of 6 86 x 10 4 kg m2. 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. Area moment of inertia metric units.