A 1.4-kg wheel in the shape of a cylindrical hoop of radius 0.20 m acquires a rotational rate of 1800 rev/min from rest over a 6.0-s interval at constant angular acceleration. (a) Determine the angular acceleration in (rad/s^2) of the wheel. (b) What is the linear speed (in m/s) and radial acceleration (inm/s2) of a point on the edge of the wheel when it is rotating at 1800 rev/min? (c) What is the rotational kinetic energy (in Joules) of the wheel when it is rotating at 1800 rev/min?

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A 1.4-kg wheel in the shape of a cylindrical hoop of radius 0.20 m acquires a rotational rate of 1800 rev/min from rest over a 6.0-s interval at constant angular acceleration.

(a) Determine the angular acceleration in (rad/s^2) of the wheel.

(b) What is the linear speed (in m/s) and radial acceleration (inm/s2) of a point on the edge of the wheel when it is rotating at 1800 rev/min?

(c) What is the rotational kinetic energy (in Joules) of the wheel when it
is rotating at 1800 rev/min?

(d) Calculate the torque applied by the motor during the 6.0 seconds it
was accelerating.

(e) Determine the angular displacement (in radians) of the wheel and the number of revolutions that it went through during the 6.0 seconds it was accelerating.

(f)  What was the average power output of the motor
during the 6.0-s interval?

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