# Problem: The graph below gives the position x vs. t for a spot on rim of a rotating wheel.Find:(a) The angular speed ω:(b) The speed of the spot v: (c) The magnitude of centripetal acceleration of the spot ac:(d) The magnitude of angular acceleration α: (e) The magnitude of tangential acceleration of the spot at:

###### FREE Expert Solution

(a)

The angular speed is expressed as:

$\overline{){\mathbf{\omega }}{\mathbf{=}}\frac{\mathbf{2}\mathbf{\pi }}{\mathbf{T}}}$,

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###### Problem Details

The graph below gives the position x vs. t for a spot on rim of a rotating wheel.

Find:

(a) The angular speed ω:

(b) The speed of the spot v:

(c) The magnitude of centripetal acceleration of the spot ac:

(d) The magnitude of angular acceleration α:

(e) The magnitude of tangential acceleration of the spot at: