A uniform disk with radius R = 0.400 m and mass 30.0 kg rotates in a horizontal plane on a frictionless vertical axle that passes through the center of the disk. The angle through which the disk has turned varies with time according to θ(t) =(1.10 rad/s)t + (6.30 rad/s2)t2. What is the resultant linear acceleration of a point on the rim of the disk at the instant when the disk has turned through 0.100 rev?

The drive propeller of a ship starts from rest and accelerates at 2.55 x 10-3 rad/s² for 2.35 x 103 s. For the next 1.68 x 10³ s the propeller rotates at a constant angular speed. Then it decelerates at 2.77 x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 2.23 rad/s. Find the total angular displacement of the propeller. Number i Units

A yo‑yo with a mass of 0.0850 kg and a rolling radius of r=1.60 cm rolls down a string with a linear acceleration of 5.20 m/s2. Calculate the tension magnitude ? in the string and the angular acceleration magnitude ? of the yo‑yo.

A circular disc with radius r = 0.81 m rotates around its own axis. How far has the disk rolled after the time 8,241 s if the disk starts from rest and the angular acceleration is α (t) = k x t^n rad/s^2, where k = 3.48 and n = 1.8?

A uniform disk of radius 0.491 m and unknown mass is constrained to rotate about a perpendicular axis through its center. A ring with the same mass as the disk is attached around the disk's rim. A tangential force of 0.229 N applied at the rim causes an angular acceleration of 0.115 rad/s². Find the mass of the disk. mass of disk: 3.08 kg

A motor spins a disk (Idisk = 25.5 kg*m2) with a torque of 39 N*m, and a 18 N frictional force acts on the disk at a radius of 1.4 m. Attached to the disk at a radius of 6.6 m is a 13 kg mass. What is the magnitude of the angular acceleration in rad/s2 of the system?

A bicycle wheel, of radius 0.300 m and mass 1.59 kg (concentrated on the rim), is rotating at 4.00 rev/s. After 52.8 s the wheel comes to a stop because of friction. What is the magnitude of the average torque due to frictional forces?

A student holds a bike wheel and starts it spinning with an initial angular speed of 9.09.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s10.0 s period following the inital spin, the bike wheel undergoes 65.065.0 complete rotations. Assuming the frictional torque remains constant, how much more time Δ?sΔ⁢ts will it take the bike wheel to come to a complete stop?   Δ?s=Δ⁢ts=   ss The bike wheel has a mass of 0.725 kg0.725 kg and a radius of 0.385 m0.385 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque ?fτf that was acting on the spinning wheel.

= - = 6. A mass M₁ 10 kg resting on a horizontal frictionless surface is attached to a M₂ = 7 kg weight by a light wire that passes over a frictionless pulley. See figure. The pulley has the shape of a uniform disk of mass M3 4 kg and radius R 0.3 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of M₁, and (c) the horizontal and vertical forces that the axle exerts on the pulley. M1 M 3 M2

A bus moves towards Kadıköy direction. A 392 N tire comes off and rolls without slipping along minibüs road. At the bottom of a hill it is rotating at 27.5 rad/s. The radius of the wheel is 0.600 m and its moment of inertia about its rotation axis is 0.800MR Friction does work on the wheel as it rolls up the hill to a stop, a height h above the bottom of the hill; this work has absolute value 2600 J Part A Calculate h. Express your answer with the appropriate units. Submit Request Answer