The frequency of a spinning top is 10 Hz. It is brought to rest in 6.28 sec, find the angular acceleration of a particle on its surface.

A wheel undergoes angular acceleration of 0.44rad / s ^ 2 for 5 seconds (starting from rest ). Through how much angle (in radians ) has the disk turned after the 5 second interval of time ?

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

A solid cylinder with a mass of (5 kg) and a radius of (0.2 m) (I =12MR2) is initially rolling along a flat plane with a linear velocity of (10ms). The cylinder then comes to the edge of a ramp that is inclined by (34degrees) to the horizontal and begins to roll up the ramp. How high above the flat plane does the cylinder reach before it starts to roll back down?

A wheel is spinning about a horizontal axis with an initialangular velocity of 140 rad/s and pointing towards east. Find the magnitude and direction of the wheel angular velocity after an angular acceleration of 35 rad/s2, pointing 68from west to north, is applied for 5.0 s.

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 1.00 s, it rotates 30.4 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 1.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 1.00 s? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units >

A disc with 0.6 kg m^2 moment of inertia is free to rotate about its center. Two forces F1=5N and F2=3N is applied perpendicularly but on the opposite sides of disc. What is its angular acceleration if radius is 0.2 meters.