The disk spinning in the figure experiences a constant angular acceleration of 20 rad/s2. What is the overall (curvilinear) acceleration of point B after 2 revolutions?
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- A disk 8.08 cm in radius rotates at a constant rate of 1 150 rev/min about its central axis. (a) Determine its angular speed. X Note that 1150 rev/min is an angular speed, but the problem asks for different units. rad/s (b) Determine the tangential speed at a point 3.02 cm from its center. What is the relationship between angular speed and tangential speed? m/s (c) Determine the radial acceleration of a point on the rim. magnitude direction Note that the radial acceleration is also called centripetal acceleration. km/s² toward the center (d) Determine the total distance a point on the rim moves in 1.96 s. × You appear to have correctly calculated this distance using your incorrect value from part (b). mThe wheels of a car speed up from 2.7 rad/sec to 6.8 rad/sec in 1.1 seconds. What is the angular acceleration of the wheels?An object that is initially at rest undergoes an angular acceleration of 1.62 rad/s2. What is the object's angular displacement after a time of 5.04 s?
- Suppose you're an field engineer inspecting an offshore wind turbine. You're in a boat approaching a the particular turbine you'll be inspecting. Your boat's velocity is a constant 8 knots on a course perpendicular to the turbine's axis of rotation. The turbine blades are 10 m in length and turning with a constant angular velocity of 20 rad/s. What additional information would you need in order to calculate the velocity of a point on the turbine blade tip relative to you? nothing, you have all the information you need turbine angular acceleration position of the blade tip relative to the turbine's rotation center at the time of measurementA figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/sthe angular velcoity of an airplane propeller increases from 12 rad/s to 16 rad/s while turning through 7 rad. What is the angular acceleration in rad/s^2?
- A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly one fourth of the way from the center toward the rim. What is the ratio of the angular velocity ?A to that of ?B, and the tangential velocity vA to that of vB? HINT (a) the angular velocity ?A to that of ?B ?A ?B = (b) the tangential velocity vA to that of vB vA vB =A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 12.2°. A) What is the value of the angular acceleration the eyelid undergoes while closing? in rad/s^2 B) What is the tangential acceleration of the edge of the eyelid while closing if the radius of the eyeball is 1.25 cm? in m/s^2bob begins throwing a discus with an initial angular velocity of 4 rad/s. Just before releasing the discus, bob’s angular velocity is 20 rad/s. The distance from the axis of rotation to the discus is 75 cm and the duration of the throw is 1.0 s. What is the linear velocity of the discus just before release?
- With the aid of string , a gyroscope is accelerated from rest ro 32 rad/s in 0.41 s. What is the angular acceleration in radians per square seconds? How many revolutions does it go through in the process?A wheel, starting from rest, has a constant angular acceleration of 1.5 rad/s2. In a 1.7-s interval, it turns through an angle of 58 rad. How long has the wheel been in motion at the start of this 1.7-s interval?