A woman passes through a door with a tangential speed of 1.8 m/s from the center of the door, what is the door’s angular speed?

At a particular instant an object at (r=2m and θ=0 )is moving such that its radial speed is 3m/s and its angular speed is 2m/s. What is the magnitude of its speed?

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?

A fan blade with a diameter of 1.373 m is rotating at a rate of 3898 revolutions per minute. A piece of gum that is attached to the end of the fan blade suddenly becomes loose while its velocity vecor was momentarily pointing straight up. How long will it take for the piece of gum to come back down? Assume that there is no air resistance.

The earth spins on its axis once a day and orbits the sun once a year. Determine the average angular velocity of the earth as it spins on its axis and orbits the sun. In each case take the positive direction for the angular displacement to be the direction of the earths motion

In order to move the rectangular stones which built the pyramids the ancient Egyptians used a system of cylindrical logs placed close to each other on the ground which rolled along (without slipping) as the stone on top was pulled by slaves (it also did not slip). If the radii of the logs were all 19 cm and their maximum angular velocity about their axis was 7 radians per second, what was the maximum linear speed (in m/s) of the pyramid stones

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?

A basketball player spins the ball on his finger with an angular acceleration of 81 rad/s2 a. What is the ball's final angular velocity, in radians per second, if it starts from rest and the acceleration lasts 2.2s.

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 figure skater's second spin begins with an angular velocity of 290o/s.  From that point until their 5th spin is 1 second.  If the start of the 5th spin is measured at 1400o/s, what is their angular acceleration?