Your roommate is working on his bicycle and has the bike upside down. He spins the 56.0 cmcm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second. What is the pebble's acceleration? Express your answer with the appropriate units.

A ferris wheel begins at rest. During the first part of the journey, the ferris wheel accelerates through 4 rotations at a rate of 0.0500 rad/s2. During the second part of the journey, the ferris wheel then remains at its top speed for 14 rotations. Finally, during the third part of the journey, the ferris wheel slows down to rest over 3 rotations. What is the ferris wheel's top angular speed? How long does it take for the ferris wheel to accelerate from rest up to its top speed? How long the ferris wheel remain at its top speed for? How long does it take for the ferris wheel to slow down from top speed to rest?

A 20 cm diameter circular saw blade spins at 3900 rpm. How fast would you have to push a straight hand saw to have the teeth move through the wood at the same rate as the circular saw teeth?

A person pushes on a lever 0.7 meters away from the axis of rotation with 100 N of force. The rotational inertia of the lever is 35 kg*m2. Calculate the angular acceleration of the lever.

Mary and her younger brother Alex decide to ride the 32-foot-diameter carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 13 feet from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 7 feet from the center. (a) What is Mary's angular speed ?M compared to that of Alex's angular speed ?A? Give your answer as a multiple of ?A.?M =  ?A(b) What is Mary's tangential speed vM compared to that of Alex's tangential speed vA? Give your answer as a multiple of vA.vM =  vA

A 5 kg ball with a 0.4 meter radius is rolling on a horizontal surface at 3 m/s. The rotational inertia of the ball is 0.4mr2. The ball rolls up a 30-degree inclined plane. What is the maximum height that the ball reaches?

Please answer it within 30 minutes. I will upvote! Problem: A car initially traveling at 29.2 m/s undergoes a constant negative acceleration of magnitude 1.40 m/s2 after its brakes are applied.   (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of  0.305 m. NOTE:  Answer of  (a) must differs from the correct answer by more than10%. (b) What is the angular speed of the wheels when the car has traveled half the total distance? NOTE:  Answer of  (b) must differs from the correct answer by more than10%.

A Ferris wheel on a California pier is 27 m high and rotates once every 32 seconds. When the wheel starts turning, you are at the very top.a. What is your angular position 75 seconds after the wheel starts turning, measured counterclockwise from the top?Express your answer as an angle between 0° and 360°.b. What is your speed ν?

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 15.4°. a. What is the value of the angular acceleration the eyelid undergoes while closing?  answer 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? answerin m/s^2

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?