A bicycle tire is spinning clockwise at 2.50 rad/s. During a time period Δt = 1.25 s, thetire is slopped and spun in the opposite (counterclockwise) direction, also at 2.50 rad/s.(Calculate (a) the change in the tire’s angular velocity Δω and (b) the tire's averageangular acceleration αav.

The platform is rotating about the vertical axis such that at any instant its angular position is 0 = 4t3/2 rad, where t is in seconds. A ball rolls outward along the radial groove so that its position is r = 0.1t³ m, where t is in seconds. Determine the magnitude of velocity of the ball (m/s) when t = 2.60 seconds.

A centrifuge rotor is accelerated for 23. s from 8000 rpm to 13000 rpm (revolutions per minute). (a) What is its average angular acceleration? (b) Through how many revolutions has the centrifuge rotor turned during its acceleration period, assuming constant angular acceleration?

A helicopter propeller blade starts from rest and experiences a constant angular acceleration of 25.0 rad/s2. Find the speed of a point on the blade 2.70 m from the axis of rotation when the blade has completed 20 revolutions

A disk, with a radius of 0.25 m, is to be rotated like a merry-go-round through 1000 rad, starting from rest, gaining angular speed at the constant rate aj through the first 500 rad and then losing angular speed at the constant rate -aj until it is again at rest. The magnitude of the centripetal acceleration of any portion of the disk is not to exceed 100 m/s?. (a) What is the least time required for the rotation? (b) What is the corresponding value of a1? (a) Number i Units (b) Number i Units

A wheel 2 m in diameter lies in a vertical plane and rotates with a constant angular acceleration of 4 rad/s2. The wheel starts at rest at t =0, and the radius vector of point P on the rim makes an angle of 57.3o with the horizontal at this time. At t=2s, find the angular speed of the wheel

A wheel 2.05 m in diameter lies in a vertical plane and rotates about its central axis with a constant anqular acceleration of 4.35 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel rad/s (b) the tangential speed of the point P m/s (c) the total acceleration of the point P magnitude m/s2 direction ° with respect to the radius to point P (d) the angular position of the point P rad

mine the angular position, angular speed, and angu- lar acceleration of the door (a) at t = 0 and (b) at t = Section 10.1 Angular Position, Velocity, and Acceleration 3.00 s. 3. During a certain time interval, the angular position W of a swinging door is described by 0 = 5.00 + 10.0t + 2.00t2, where 0 is in radians and t is in seconds. Deter-

Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.29 rad/s at t = 0 and subsequently experiences an angular acceleration a = 1.8t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.7 s. Assumer = 145 mm. α Answers: VA = aд = 90 (i ( i 0 6.806 i + i + i i 1 0.705 j) m/s j) m/s²

The period of a stone swung in a horizontal circle on a 2.50-m radius is 1.20 s. (a) What is its angular velocity in rad/s? (b) What is its linear speed in m/s? (c) What is its radial acceleration in m/s2?