A student on a piano stool rotates freely with an angular speed of 3.05 rev/s. The student holds a 1.00 kg mass in each outstretched arm, 0.759m from the axis of rotation. The combined moment of inertia of the student and the stool, ignoring the two masses, is 5.43 kg•m^2, a value that remains constant. A. Calculate the initial kinetic energy of the system  B. Calculate the final kinetic energy of the system

= 4.2 m and The Hubble space telescope can be approximated as a cylinder with diameter D moment of inertia / = 7.72 x 10¹ kg m². The telescope is initially at rest, and a reaction motor applies a force of 19 N tangentially to the outer surface of the cylinder for 4.5 s. • A. What is the angular acceleration of the telescope? B. What is the average power exerted by the motor over this entire 4.5 s interval? C. What is the instantaneous power exerted at t = 3 s?

At its lowest setting a centrifuge rotates with an angular speed of ω1 = 250 rad/s. When it is switched to the next higher setting it takes t = 13 s to uniformly accelerate to its final angular speed ω2 = 650 rad/s. a. Calculate the angular acceleration of the centrifuge alpha1 in rad/s^2 over the time interval t.  b. Calculate the total angular displacement (in radians) of the centrifuge, deltatheta, as it accelerates from the initial to the final speed.

Physics Angular Motion

A. A light, rigid rod of length L = 1.00 m joins two particles, with masses m_1 = 4.00 kg and m_2 = 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 7.40 m/s.  B. What would be the new angular momentum of the system (in kg · m2/s) if each of the masses were instead a solid sphere 13.5 cm in diameter?

While sunbathing on the balcony of your 3rd floor apartment, you notice a gorilla drop a m = 38.2 kg crate from rest from the roof of the 5-story building across the street. Since you just completed a course on surveying, you know that the two identical buildings are d = 29 m apart, and have floors that are h = 5.1 m tall. The first floor is at ground level, as shown.a. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 4th floor balcony of the other building. Lb =b. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 3rd floor balcony of the other building, directly across from you. Lc =c. Determine the magnitude of the angular momentum of the crate, in kilogram meters squared per second, as observed by you as it passes the floor of the 2nd floor balcony of the other building. Ld =d.…

A bug is on the surface of a small wheel, which is a solid disk.

A figure skater with rotational inertia Iskater is spinning with angular speed ω. She pulls her arms in, decreasing her rotational inertia to one-third its original value. Her new angular speed is ____ . Select one: a. 3–√3ω  b. ω3–√3  c. 3ω  d. ω/3  e. ω

A disk brake on a car consists of a disk with a 0.121 m radius and a caliper that pushes a frictional surface against the edge of the disk (an idealization of a real brake). The moment of inertia of the disk system is 0.354 kg m2. a)At a certain speed of the car, the angular velocity of the disk is 156 rad/s. If the car manufacture wants the car to go from this speed to a full stop in 17 s, what is the magnitude of the angular acceleration of the disk? b) What is the torque that must be applied to the disk to bring it to rest in this time? c) What is the magnitude of the force that pushes the frictional surface against the disk to slow it to a stop if the coefficient of kinetic friction is 0.424?

In this problem you will be given the mass and description of various objects and will determine their moments of inertia I. All results are of the form X * M R2. You will find the numerical value of X.What is the moment of inertia for a ring with mass 2 M and an axis of rotation through the center of the ring (perpendicular to the plane of the ring) with radius 2 R. M R2   Tries 0/3   What is the moment of inertia for a disk with mass 3 M and an axis of rotation through the center of the disk with radius 2 R. M R2   Tries 0/3   What is the moment of inertia for a hollow sphere with mass 1 M and an axis of rotation through the center of the sphere with radius 3 R. M R2   Tries 0/3   What is the moment of inertia for a solid sphere with mass 4 M and an axis of rotation through the center of the sphere with radius 3 R. M R2