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A flywheel with a diameter of 0.510 m is rotating at an angular speed of 178 rev/min.

(a) What is the angular speed of the flywheel in radians per second?

(b) What is the linear speed of a point on the rim of the flywheel?

(c) What constant angular acceleration (in revolutions per minute-squared) will increase the wheel's angular speed to 778 rev/min in 142 s?

(d) How many revolutions does the wheel make during that 142 s?

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