A person is riding a bicycle, and its wheels have an angular velocity of 26.7 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 16.1 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?

An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s1045 rad/s). If a particular disk is spun at 734.1 rad/s734.1 rad/s while it is being read, and then is allowed to come to rest over 0.368 seconds0.368 seconds, what is the magnitude of the average angular acceleration of the disk?   If the disk is 0.12 m0.12 m in diameter, what is the magnitude of the tangential acceleration of a point 1/71/7 of the way out from the center of the disk?

Hello, can you also please include the formula that you used to solve this problem? Thank you!

A disk, initially rotating at 114 rad/s, is slowed down with a constant angular acceleration of magnitude 2.39 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 40.0-cm diameter disk rotates with a constant angular acceleration of 2.90 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 40.0-cm diameter disk rotates with a constant angular acceleration of 2.70 rad/s. 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 = 2.40 s, find the angular speed of the wheel. rad/s (b) At t = 2.40 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity m/s tangential acceleration m/s2 (c) At t = 2.40 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axis

The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.

A 37.2-cm diameter disk rotates with a constant angular acceleration of 2.3 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 = 2.30 s. linear velocity  m/s tangential acceleration  m/s2 c) Find the position of P (in degrees, with respect to the positive x-axis) at t = 2.30s. °

Starting from rest, an airplane propeller begins to rotate with an angular acceleration a = 0.0600 rad/s2. The propeller radius is 60.0 cm. After exactly 4.00 seconds, calculate the total linear acceleration of the tip of the propeller. (The total linear acceleration is the vector combination of the tangential acceleration and the centripetal acceleration.) r= 60.0 cm

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 = 2.32 s, find the angular speed of the wheel. rad/s (b) At t = 2.32 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity             m/s tangential acceleration             m/s2 (c) At t = 2.32 s, find the position of P (in degrees, with respect to the positive x-axis). _________° counterclockwise from the +x-axis