H $10\mathrm{.}3$

$1/2$ points $($graded$)$

a$.$ A vertical wheel with a diameter of $50$ cm starts from rest and rotates with a constant angular acceleration of $8ra\frac{d}{s^2}$ around a fixed axis through its center connterclockwise. Suppose that a point that is initially at the bottom of the wheel. How long $($in sec$)$ does it take for the point to reach at the top of the wheel? Give your answer to two significant figures without units.

$$ Answer: $0\mathrm{.}89$

b$.$ Solve the previous problem this time supposing that the angular acceleration is given by $2$tra$\frac{d}{s^2}$ Give your answer to two significant figures without units.

Answer: $2\mathrm{.}11$

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