A disk rotates with constant angular acceleration. The initial angular speed of the disk is 2.1π rad/s. After the disk rotates through 13.6π radians, the angular speed is 6.2π rad/s. (a) What is the magnitude of the angular acceleration? (b) How much time did it take for the disk to rotate through 13.6π radians? (c) What is the tangential acceleration of a point located at a distance of 9.9 cm from the center of the disk?
A disk rotates with constant angular acceleration. The initial angular speed of the disk is 2.1π...
a) The rotor of a helicopter is gaining angular speed with constant angular acceleration. At t = 0 it is rotating at 1.25 rad/s. From t = 0 to t = 2.00 s, the rotor rotates through 8.00 rad. What is the angular acceleration of the rotor? b) Through what angle (in radians) does the rotor rotate from t = 0 to t = 4.00 s? in radians c) Shortly after a vinyl record (radius 0.152 m) starts rotating on...
A 36.2-cm diameter disk rotates with a constant angular acceleration of 2.8 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) Find the angular speed of the wheel at t = 2.30 s. rad/s (b) Find the linear velocity and tangential acceleration of P at t =...
A 40.0-cm diameter disk rotates with a constant angular acceleration of 2.70 rad/s2. It starts from rest at t 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t 2.50 s, find the angular speed of the wheel. rad/s (b) At t 2.50 s, find the magnitude of the linear velocity and tangential acceleration...
A 45.0-cm diameter disk rotates with a constant angular acceleration of 2.50 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. At t = 2.30 s, find (a) the angular speed of the wheel, (b) the linear speed and tangential acceleration of P, and (c) the position of...
A 41.0-cm diameter disk rotates with a constant angular acceleration of 2.80 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.50 s, find the angular speed of the wheel. ______??____rad/s (b) At t = 2.50 s, find the magnitude of the linear velocity...
A 47.4-cm diameter disk rotates with a constant angular acceleration of 2.80 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) Find the angular speed of the wheel at t = 2.30 s. rad/s (b) Find the linear velocity and tangential acceleration of P at t =...
A 39.2-cm diameter disk rotates with a constant angular acceleration of 2.8 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) Find the angular speed of the wheel at t 2.30 s. rad/s 2.30 s (b) Find the linear velocity and tangential acceleration of P at t...
A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 12 rad/s in 3.0 s. Find (a) the magnitude of the angular acceleration of the wheel and (b) the angle in radians through which it rotates in this time interval.
A disk 7.90 cm in radius rotates at a constant rate of 1 210 rev/min about its central axis. (a) Determine its angular speed. rad/s (b) Determine the tangential speed at a point 2.96 cm from its center. m/s (c) Determine the radial acceleration of a point on the rim. magnitude directionSelect km/s (d) Determine the total distance a point on the rim moves in 1.92 s.
A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 11 rad/s; 75 radians later, its angular speed is 22 rad/s. Calculate (a) the angular acceleration (rad/s^2), (b) the time required to complete the 75 radians, (c) the time required to reach the 11 rad/s angular speed, and (d) the number of radians from rest until the time the disk reaches the 11 rad/s angular speed.