The graph above shows the angular velocity of a spinning wheel (radius = $25\,\text{cm}$) as a function of time.

Question

The graph above shows the angular velocity of a spinning wheel (radius = $25\,\text{cm}$) as a function of time.(a) What is the angular acceleration of the spinning wheel at $t = 4$ seconds?
, (b) What is the speed of a point on the rim of the wheel at $t = 1$ second?
, (c) What is the angular displacement of the wheel in the first $2$ seconds?
, (d) What is the angular displacement of the wheel from $2$ to $4$ seconds?
, (e) What is the total angular displacement of the wheel from $0$ to $10$ seconds?
, (f) The wheel rolls along level ground. What is its total displacement after $10$ seconds?
, (g) What is the magnitude of the tangential acceleration of a point on the rim at $t = 4$ seconds?
, (h) What were the tangential and centripetal accelerations of a point on the rim at $t = 1$ second?
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Jason · Accepted Answer

$-22.5\,\text{rad\,/s}^2$
$15\,\text{m\,/s}$
$120\,\text{rad}$
$75\,\text{rad}$
$90\,\text{rad}$
$22.5\,\text{m}$
$5.6\,\text{m\,/s}^2$
$0\,\text{m\,/s}^2$, $900\,\text{m\,/s}^2$

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