A ball of radius 0.200 m rolls with a constant linear speed of 2.65 m/s along a horizontal table. The ball rolls off the edge and falls a vertical distance of 2.30 m before hitting the floor. What is the angular displacement of the ball while the ball is in the air?

An ultracentrifuge accelerates from rest to 9.97×10^5 rpm in 1.51 min. What is its angular acceleration in radians per second squared? What is the tangential acceleration of a point 9.10 cm from the axis of rotation? What is the radial acceleration in meters per second squared and in multiples of ? of this point at full revolutions per minute?

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 bus is traveling at a speed of 20.0 m on a straight horizontal road. The wheels have a radius of 0.400 m. If the bus speeds up with a linear acceleration of 1.50 m/s2 for 8.00 s, what is the angular speed of each of the wheels during this time?

During a drive by golfer Ai Miyazato, the angular displacement of her club is zero at the top of the backswing and 120 degrees at the bottom of the downswing just before impact with the ball. What is the angular displacement of the golf club in radians?

A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 12.2°. A) What is the value of the angular acceleration the eyelid undergoes while closing? in rad/s^2 B) What is the tangential acceleration of the edge of the eyelid while closing if the radius of the eyeball is 1.25 cm? in m/s^2

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

The linear velocity of a tetherball is 10 m/s as it moves around a circle of radius, r =2 m. What is the angular velocity of the tetherball?

An astronaut is inside a centrifuge that has a radius of 10 m. The astronaut starts from rest and experiences a constant angular acceleration for 10 seconds. After the 10 seconds, the astronaut is experiencing 10g, meaning that the centripetal acceleration is a. 98 . The angular displacement of the astronaut during the 10 seconds was rad.

A D B VB A large wind turbine (typical of the size and specifications of a turbine that you see in a modern wind farm) has three blades connected to a central hub. The blades are 50 m long and the linear velocity of point B is 65 m/s. (a) What is the linear velocity of point A which is 35 m away from the hub. (b) what is the angular velocity of the turbine. Express your answer in revolutions per minute.