17. A figure skater started his spinning at 3 rev/sec initially with rotational inertia 35 kgm². Then he pulled his arms closer toward the center of his body to decrease the moment of inertia to 20 kgm². What is the final spinning in rev/sec? a. 5.25 rev/s b. 1.71 rev/s c. 3.00 rev/s d. 3.14 rev/s
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- 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 s3. Suppose a merry-go-round rotates once every 5.0 seconds. a. Find the rotational speed of the merry-go-round in revolutions per second and RPM. b. If the merry-go-round is 1.5 m in radius, what is the linear speed of a ladybug sitting on its outer edge?A flywheel turns through 60 rev as it slows down from an angular speed of 12 rad/s to a stop. What is its angular acceleration? OA. 0.05% rad/s² B. 0.30 rad/s² OC. 0.60m rad/s² OD.-0.30 rad/s² E. -0.60 rad/s²
- 5. A disk of moment of inertia I₁ is rotating about a frictionless shaft with an angular speed wi. It is dropped onto another disk that is initially at rest. Because of friction, the two disks move as one with an angular speed wf. The moment of inertia of the second disk I2 is twice the value of I₁. If w₁ is 12 rpm, what is the final angular speed wf? A. 36 rpm B. 24 rpm C. 6 rpm D. 4 rpm 12 Frictionless shaft At rest 4 127. A flywheel (I = 50 kgm² ) starting from rest acquires an angular velocity of 220.0 rad/s while subject to a constant torque from a motor for 5 s. a. What is the angular acceleration of the flywheel? b. What is the magnitude of the torque?Determine the angular acceleration of a tire that accelerates from 750 RPM to 350 RPM in 6 seconds A. -6.98 rad/s² B. 3.49 rad/s² C. 13.96 rad/s² D. 6.98 rad/s²
- A wheel started its rotation with 3 rad/s and has an angular acceleration of 8 rad/s, how long will take the wheel to reach final angular velocity of 5 rev/s ? O a. 3.4 s O b.7.20 s O c. 2.6 s O d. 5.6 s4. A skater has a moment of inertia of 105.0 kg.m² when his arms are outstretched and a moment of inertia of 64.0 kg.m² when his arms are tucked in close to his chest. If he starts to spin at an angular speed of 80.0 rpm (revolutions per minute) with his arms outstretched, what will his angular speed be when they are tucked in? rpmA wheel with a moment of inertia of 25 kg m2 is subjected to a torque of 100 Nm. What angular acceleration is produced? a. 40 rad/s b. 2 rad/s c. 20 rad/s d. 4 rad/s
- The angular speed of the hour hand of a clock, in rad/s, is: a. 1/30 π b. 1/1800 π c. 7200 d. 1800 e. 1/7200 πThe angular velocity of a wheel is w= -2.0 + 6.0t4 +4.0r² , with w in rad/s and t in seconds. At time t = 2 s, the wheel has an angular acceleration (in rad/s?) of O a. 112 O b. 110 208 O d. 32 e. 210A point object with a mass of 150 g can move around a circular track that has a radius of 25 cm. What is the moment of inertia of the object around the center of the track? a. 0.00017 kilogram. meter squared b. 0.00094 kilogram. meter squared c. 0.00038 kilogram. meter squared d. 0.00057 kilogram. meter squared