Moment Of Inertia Of A Vinyl Record

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.

Moment of inertia of a vinyl record.

Area moment of inertia metric units. 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. More scared of you than you are of me. The smith street band.

A typical vinyl record has a mass of about 175g and a diameter of about 30 cm. 1 in 4 4 16x10 5 mm 4 41 6 cm 4. The mass of a vinyl gramophone record is 130 g and its diameter is 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.

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. 1 cm 4 10 8 m 4 10 4 mm 4. The moment of inertia of any body having a shape that.

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. 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. The unit of moment of inertia is a composite unit of measure. 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.

Customary system m is in slugs 1 slug 32 2 pounds and r in feet with i expressed in terms of slug foot square. Putty of mass 0 020 kg drops vertically onto the record from above and sticks to the edge of the record. The rotational inertia of the record about its axis of rotation is 0 0005 kg m 2. That is to say it measures how difficult it would be to change an object s current rotational speed.