Consider the13.0kg motorcycle wheel shown in the figure.Assume it to be approximately an annular ring with an inner radius of

R₁= 0.280 m

and an outer radius of

R₂=0.360m.

The motorcycle is on its center stand, so that the wheel can spin freely.

(a)If the drive chain exerts a force of2320N at a radius of 5.00 cm, what is the angular acceleration (in rad/s²) of the wheel? rad/s²

(b)What is the tangential acceleration (in m/s²) of a point on the outer edge of the tire? m/s²

(c)How long (in s), starting from rest, does it take to reach an angular velocity of 80.0 rad/s? s