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.
An object of mass M =
12.0 kg is attached to
a cord that is wrapped
around a wheel of radius
r = 10.0 cm (Fig. P8.78).
The acceleration of the
object down the frictionless
incline is measured to
be a = 2.00 m/s2 and the
incline makes an angle
θ = 37.0° with the horizontal.
Assuming the axle of the wheel to be frictionless, determine
(a) the tension in the rope, (b) the moment of inertia of
the wheel, and (c) the angular speed of the wheel 2.00 s after
it begins rotating, starting from rest.
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