An object rotates about a fixed axis, and the angular position of a reference line on the object is given by u = 0.40e2t, where u is in radians and t is in seconds. Consider a point on the object that is 4.0 cm from the axis of rotation. At t = 0, what are the magnitudes of the point’s (a) tangential component of acceleration and (b) radial component of acceleration?

› An ultracentrifuge accelerates from rest to 9.97 × 105 rpm in 1.87 min. What is its angular acceleration in radians per second squared? angular acceleration: What is the tangential acceleration of a point 9.50 cm from the axis of rotation? tangential acceleration: radial acceleration: rad/s² What is the radial acceleration in meters per second squared and in multiples of g of this point at full revolutions per minute? radial acceleration in multiples of g: m/s² m/s²

You have a 1.00 m long string with a bob attached to its end. You are swinging it around your head, and it completes 1.00 whole revolution every 2.00 s. What is its tangential speed, in m/s? Answer with 3 significant figures.

The ability of the human eye to rapidly rotate was studied using contact lenses fitted with accelerometers. While a subject, whose eyeball has radius 1.25 cm, watches a moving object her eyeball rotates through 20.0° in a time interval of 69.6 ms. a. What is the magnitude of the average angular velocity of the eye?  asnwer in rad/s b. Assume that the eye starts at rest, rotates with a constant angular acceleration during the first half of the interval, and then the rotation slows with a constant angular acceleration during the second half until it comes to rest. What is the magnitude of the angular acceleration of the eye? answer in rad/s^2 c. What tangential acceleration would the contact-lens accelerometers record in this case? answer in m/s^2