A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.168 rad/s2. After making 2870 revolutions, its angular speed is 146 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?

A 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/s

A crankshaft rotating at 10.2 rad/s undergoes an angular acceleration of 2.2 rad/s^2. What is the angular velocity of the shaft after 11.0 s? Give your answer in rad/s.

A disk, initially rotating at 106 rad/s, is slowed down with a constant angular acceleration of magnitude 2.35 rad/s2. (a) How much time does the disk take to stop? (b) Through what angle (rad) does the disk rotate during that time?

A 42.0-cm diameter disk rotates with a constant angular acceleration of 3.00 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 of P. linear velocity      m/s tangential acceleration      m/s2 (c) At t = 2.50 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axis

A disk, initially rotating at 113 rad/s, is slowed down with a constant angular acceleration of magnitude 3.04 rad/s2. (a) How much time does the disk take to stop? (b) Through what angle (rad) does the disk rotate during that time? (a) Number i Units (b) Number i Units

A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.79 x 10^4 rad/s to an angular speed of 3.13 × 10^4 rad/s. In the process, the bit turns through 3.01 x 10^4 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 8.46 × 10^4 rad/s, starting from rest?

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 2.00 rad/s . The magnitude of the angular acceleration is 0.5 rad/s2 . Both the angular velocity and angular acceleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.50 m. A)  How long does it take for the angular velocity to reach 4 rad/s?  B)  What angle do the blades turn through in that time?

A wheel rotates with a constant angular acceleration of 3.50 rad/s^2. If the angular speed of the wheel is 2.00 rad/s at ti = 0, a) through what angle does the wheel rotate in 2.00 s?b) What is the angular speed at t = 2.00s?Answer: a) 630 degrees b) 9.00 rad/s

A cylindrical shaped object of mass 5.0 kg and radius 0.25 m is rotating at 11 rad/s. An object is dropped so that it sticks to the cylinder at a distance of 0.10 m from the axis of rotation, and the system’s angular speed decreases to 10.5 rad/s. What is the mass of the dropped object?