A yo-yo has a rotational inertia of 950 g cm2 and a mass of 120 g. Its axle radius is 3.2 mm, and its string is 120 cm long. The yo-yo rolls from rest down to the end of the string. (a)What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed?
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
A yo-yo has a rotational inertia of 950 g cm2 and
a mass of 120 g. Its axle radius is 3.2 mm, and its string is 120 cm
long. The yo-yo rolls from rest down to the end of the string.
(a)What is the magnitude of its linear acceleration? (b) How long
does it take to reach the end of the string? As it reaches the end of
the string, what are its (c) linear speed, (d) translational kinetic energy,
(e) rotational kinetic energy, and (f) angular speed?
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