hat axle is measured with the following method. a circular disk of mass 0.500 kg and radius 2.00 cm is glued to the plate, with its center aligned with point o (fig. 10-45b). a string is wrapped around the edge of the disk the way a string is wrapped around a top. then the string is pulled for 5.00 s. as a result, the disk and plate are rotated by a constant force of 0.400 n that is applied by the string tangentially to the edge of the disk. the resulting angular speed is 114 rad/s. what is the rotational inertia of the plate about the axle?

Rotational inertia measures how a good deal an object resists converting rotation. In linear motion, consistent with Newton's 2d regulation, we use mass to gauge an item's resistance to change however in rotational motion, rotational inertia serves the same motive.

calculation:-

mass of disc = 0.500 kg

radius = 2 cm

= 0.02 m

Force = 0.400 N

Angular speed ω = 114 rad/s

angular acceleration α = ω/t = 114/5 = 22.8 rad/s²

I = Iplate + I disc

= 3.5 × 10⁻⁴ - 1× 10⁻⁴

Iplate = 2.5 × 10⁻⁴ kgm²

In physics and mechanics, torque is the rotational equation of linear pressure. it is also called the moment, a moment of force, rotational pressure, or turning effect, depending on the field of observation. It represents the capability of a force to produce an alternate inside the rotational movement of the frame.

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