A torque of 57.63 Nm is used to rotate a solid object originally at rest.  The torque results in a constant acceleration.  After 118.23 seconds the object is moving with an angular speed of 14.81 rad/s.  The objects moment of inertia in kg*m2 is a. 460 b. 0.49 c. 7.2 d. 3.9

A torque of 77 N/m is applied to a 39 kg solid sphere with a radius of 0.6 m. If the torque is applied for 9.6 s, how many radians does the sphere rotate through if it starts at rest? (in rad) The axis of rotation passes through the center of the sphere. O 631.8 13.71 O 5.616 2.194 O 1264

A ballerina spins initially at 1.56 rev/s when her arms are extended. She then draws in her arms to her body and her moment of inertia becomes 0.82 kg-m², and her angular speed increases to 4.43 rev/s. What was her initial moment of inertia? Give your answer in kg-m².

A mass on the end of a 0.50 m long string is spun overhead with a velocity of 3.5 m/s. What is the angular velocity of the mass? 0.14 rad/sec 1.17 rad/sec 7.00 rad/sec 24.5 rad/sec t 9964

A 350-kg disk (with uniform density) is shown below. Its rotation axis is through its center. If the disk is initially at rest, how long does it take to reach an angular velocity of 25 rad/s? 20 N 18 N 0.25 m 0.75 m 1.0 m 0.5 m 16 N А. 152.6 s D. 163.5 s Е. F. В. 164.5 s 141.1 s С. 120.0 s 137.0 s

Listen Q2. Two uniform thin disks A and B have masses of 3.2 kg and 4.1 kg respectively. They are each pinned at their respective centers, and when they roll in contact with each other, no slipping occurs. The motion is in vertical plane. The dimensions ra 12 cm and r2 = 36 cm. At this instant disk A has angular velocity w = 3.8 rad/s and %3D angular acceleration a = 1.2 rad/s2, both clockwise as shown. Takeg= 9.81 m/s. (1) Determine the magnitude of the angular velocity (in rad/s) of disk B. Your answer must include 2 places after the decimal point. 0, a .P A

A figure skater rotating at 50.00 rad/s with arms extended has a moment of inertia of 4.5 kg. m^2. If the arms are pulled in so the moment of inertia decreases to 1.80 kg. m^2, what is the final angular speed? O 17.6 rad/s 12.25 rad/s 0.125 rad/ s 0.81 rad/s 125 rad /s

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

When a fan is switched from medium to high the fan blade accelerates from 12.0rev/sec to 15.Orev/sec. During this time it rotates through 125rad. What is the fan blade's angular acceleration? O 2.32 rad/s? O 11.8 rad/s? O 13.8 rad/s? O 1.32 rad/s? O 12.8 rad/s2 O 0.324 rad/s2

In a downtown office building, you notice each of the four sections of a rotating door has a mass of 90 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.490 rad/s²? 3 WO W