The angular velocity of the disk at t=5.0s is 7.0 rad/s. The linear velocity of a point on the periphery of the disk is 105 cm/s. Calculations are based on given values and formulas.
a. The angular velocity can be calculated using the formula: angular velocity (ω) = initial angular velocity + (angular acceleration × time). Substituting the given values, we get ω = 2.0 rad/s + (1.0 rad/s² × 5.0 s) = 7.0 rad/s.
b. The linear velocity of a point on the periphery of the disk is given by the formula: linear velocity = radius × angular velocity. Substituting the values (radius = 15cm, ω = 7.0 rad/s), the linear velocity is 105 cm/s.
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