A motorized wheel is spinning with a rotational velocity of wo = 1.73 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 tan (c + bt²) where c 1.5574 and b = 6.31 s² = At what time ta,max in milliseconds is the rotational acceleration at a maximum? What is the maximum tangential acceleration amax of a point on the wheel a distance R = 1.19 m from its center? What is the magnitude a of the total linear acceleration when tangential acceleration is a maximum? 1a,max= ms at,max= m/s² a = m/s²

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A motorized wheel is spinning with a rotational velocity of wo = 1.73 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 tan¯¹ (c + bt²)
where c 1.5574 and b = 6.31 s².
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 = 1.19 m from its center?
What is the magnitude a of the total linear acceleration when
tangential 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 = 1.73 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 tan¯¹ (c + bt²) where c 1.5574 and b = 6.31 s². 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 = 1.19 m from its center? What is the magnitude a of the total linear acceleration when tangential acceleration is a maximum? ta,max = ms at,max = m/s² a = m/s²
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