A motorized wheel is spinning with a rotational velocity of 0o = 1.57 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 @ (t) = woarctan (c + + bi²) where c = 1.5574 and b = 5.65 s-2. At what time temax is the rotational acceleration at a maximum? tamax = ms What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.11 m from its center? az = m/s? What is the magnitude of the total acceleration of this point? а m/s?

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A motorized wheel is spinning with a rotational velocity of @o = 1.57 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
@ (t) = @oarctan (c + bt2)
where c = 1.5574 and b = 5.65 s-2.
At what time t emax is the rotational acceleration at a maximum?
tamax =
ms
What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.11 m from its center?
a, =
m/s?
What is the magnitude of the total acceleration of this point?
a =
m/s?
Transcribed Image Text:A motorized wheel is spinning with a rotational velocity of @o = 1.57 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 @ (t) = @oarctan (c + bt2) where c = 1.5574 and b = 5.65 s-2. At what time t emax is the rotational acceleration at a maximum? tamax = ms What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.11 m from its center? a, = m/s? What is the magnitude of the total acceleration of this point? a = m/s?
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