A bus contains a 1420 kg flywheel (a disk that has a 0.64 m radius) and has a total mass of 10600 kg. m = 1420 kg r = 0.64 m mt = 10600 kg v1 = 18 m/s v2 = 3.15 m/s Calculate the angular velocity the flywheel must have to contain enough energy to take the bus from rest to a speed of 18 m/s in rad/s, assuming 90.0% of the rotational kinetic energy can be transformed into translational energy.  How high a hill can the bus climb with this stored energy and still have a speed of 3.15 m/s at the top of the hill in m?

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 189-mile trip in a typical midsize car produces about 1.12 x 10⁹ J of energy. How fast would a 48.7-kg flywheel with a radius of 0.290 m have to rotate to store this much energy? Give your answer in rev/min. Number Units

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A lawnmower blade has a length of 0.75 m and a mass of 1.5 kg. The blade rotates around its center at an angular velocity of 500 re. The end of the blade hits a 0.25 kg croquet ball (point mass), and the ball sticks to the blade. min Before the collision, the ball was stationary. After the collision, the ball will be moving at the same angular velocity as the blade at a distance of half of the blade length from the axis of rotation. Treat the blade as a rod rotating around its center. The final angular velocity of the lawnmower blade and croquet ball combo is rad S

A 16 gm DVD disc with a diameter of 120mm rotates with an angular speed of 115 rad/second. What is the Kinetic Energy of the spinning DVD?

A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 270-mile trip in a typical midsize car produces about 1.64 x 109 J of energy. How fast would a 11.4-kg flywheel with a radius of 0.238 m have to rotate to store this much energy? Give your answer in rev/min.

A pulsar is a rapidly rotating neutron star that continuously emits a beam of radio waves in a searchlight manner. Each time the pulsar makes one revolution, the rotating beam sweeps across the earth, and the earth receives a pulse of radio waves. For one particular pulsar, the time between two successive pulses is 0.027 s. Determine the average angular speed (in rad/s) of this pulsar. rad/s

Imagine a spinning solid melon. It has a mass of 1.0 kg and a 18-cm diameter. It turns a rate of 77rev/min. Find its kinetic Energy If an additional 5.0mJ of energy are added to the rotational energy, what is the new angular velocity of the melon?

An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 1.9 rad, b = 0.75 rad/s2 and c = 0.025 rad/s3.Randomized Variables a = 1.9 radb = 0.75 rad/s2c = 0.025 rad/s3 1) What is the magnitude of the angular displacement of the ride in radians between times t = 0 and t = t1?  2)  Determine an equation for the angular acceleration of the ride as a function of time, α(t). Write your answer using the symbols a, b, and c, instead of their numerical values.  3) What is the angular acceleration in rad/s2 when the ride is at rest at t = t1?

An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 1.9 rad, b = 0.75 rad/s2 and c = 0.025 rad/s3.Randomized Variables a = 1.9 radb = 0.75 rad/s2c = 0.025 rad/s3 1) Determine an equation for the angular speed of the ride as a function of time, ω(t). Write your answer using the symbols a, b, and c, instead of their numerical values.  2)Besides at t = 0, at what time t1 is the ride stopped? Give your answer in seconds.  3) What is the magnitude of the angular displacement of the ride in radians between times t = 0 and t = t1?