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A motorized wheel is spinning with a rotational velocity of wo = 1.25 rad/s. At t = 0 s, the operator switches the wheel to a higher speed setting. The rotational velocity of the wheel at all subsequent times is given by w(t) = wo tan¹ (c + bt²) where c = 1.5574 and b = 5.87 s-2. At what time ta,max in milliseconds is the rotational acceleration at a maximum? What is the maximum tangential acceleration at,max of a point on the wheel a distance R = 1.21 m from its center? What is the magnitude a of the total linear acceleration when angential acceleration is a maximum? ta,max = ms at,max = m/s² a = m/s²
Transcribed Image Text:A motorized wheel is spinning with a rotational velocity of wo = 1.25 rad/s. At t = 0 s, the operator switches the wheel to a higher speed setting. The rotational velocity of the wheel at all subsequent times is given by w(t) = wo tan¹ (c + bt²) where c = 1.5574 and b = 5.87 s-2. At what time ta,max in milliseconds is the rotational acceleration at a maximum? What is the maximum tangential acceleration at,max of a point on the wheel a distance R = 1.21 m from its center? What is the magnitude a of the total linear acceleration when angential acceleration is a maximum? ta,max = ms at,max = m/s² a = m/s²
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