A large stone disk is viewed from above and is initially at rest as seen in the figure below. The disk has a mass of 120.0 kg and a radius of 2.100 m. A constant force of 40.0 N is applied tangent to the edge of the disk for 58.0 s, causing the disk to spin around the z axis.   (a) Calculate the angular acceleration of the stone, finding both the direction and magnitude. (Express your answer in vector form. Substitute numeric values, do not use variables.)   (b) What is the final angular velocity of the stone? (Express your answer in vector form. Substitute numeric values, do not use variables.)     (c) Calculate the translational speed for a point on the edge of the stone after 58.0 s.

In the figure here, a cylinder having a mass of 1.5 kg can rotate about its central axis through point O. Forces are applied as shown: F₁ = 3.1 N, F2 = 9.3 N, F3 = 6.0 N, and F4 = 9.1 N. Also, r = 7.0 cm and R = 17 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) Number FA Rotation axis F₁ Unit 7

The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.

In the figure here, a cylinder having a mass of 2.8 kg can rotate about its central axis through point O. Forces are applied as shown: F1= 9.7 N, F2 = 8.3 N, F3 = 1.8 N, and F4 = 4.5 N. Also, r = 4.3 cm and R = 10 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) %3D Rotation axis Number Unit

A turntable 46.0 cm in diameter diameter starts from rest, and rotates at 68.0 rpm at its first complete revoļution with constant angular acceleration. If it maintains the same acceleration, a) what is the rotational speed at time 34.0 seconds? b) what is the tangential speed of a point 10 cm from the edge of the turntable at time 34.0 seconds? Enter answer "O" in the answer box. Submit in the corresponding folder (or email) your solution by 3:50 pm, include a sketch/drawing of the rotating wheel, and a step- by-step solution.

In the figure here, a cylinder having a mass of 2.7 kg can rotate about its central axis through point O. Forces are applied as shown: F₁ = 8.0 N, F₂ = 9.6 N, F3 = 6.0 N, and F4 = 6.4 N. Also, r = 5.4 cm and R = 10 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.) Number IN Unit Rotation axis F₁ R 0

A 1.756-kg sphere of radius 0.31 m is rotating about an axis through its center at 24.843 rev/s with the angular velocity in the +z direction.  A torque 11.573N∙m acts on the sphere about the center of the sphere in the +x direction.  What is the angular acceleration, in rad2/s, of the sphere? (Isphere = 2/5 MR2)

In the figure here, a cylinder having a mass of 4.3 kg can rotate about its central axis through point O. Forces are applied as shown: F1 = 4.7 N, F2 = 3.6 N, F3 = 6.1 N, and F4 = 2.3 N. Also, r = 5.3 cm and R = 15 cm. Taking the clockwise direction to be negative, find the angular acceleration of the cylinder. (During the rotation, the forces maintain their same angles relative to the cylinder.)

Starting from rest, an airplane propeller begins to rotate with an angular acceleration a = 0.0600 rad/s2. The propeller radius is 60.0 cm. After exactly 4.00 seconds, calculate the total linear acceleration of the tip of the propeller. (The total linear acceleration is the vector combination of the tangential acceleration and the centripetal acceleration.) r= 60.0 cm

The earth spins on its axis once a day and orbits the sun once a year (360 days !!!). In each case take the positive direction for the angular displacement to be the direction of the earth's motion. Determine its angular velocity as it revolves around the sun.