A solid cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertia (I) about the axis is 4.0 kg-m2. At time t = 0 s, the cylinder is at rest. At time, t = 2.0 s, its angular velocity is 4.0 rad/s.
4. What is the rotational kinetic energy of the cylinder at t = 2 s?
A) 4 J
B) 16 J
C) 32 J
D) It cannot be determined without knowing the radius of the cylinder.
A solid cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of...
A cylinder with rotational inertia I1 = 3.2 kg · m2 rotates clockwise about a vertical axis through its center with angular speed ω1 = 5.8 rad/s. A second cylinder with rotational inertia I2 = 1.2 kg · m2 rotates counterclockwise about the same axis with angular speed ω2 = 6.2 rad/s. If the cylinders couple so they have the same rotational axis, what is the angular speed of the combination (in rad/s)? What percentage of the original kinetic energy...
a- A wheel with moment of inertia 0.05 kgm2 rotates about a fixed axis. Its kinetic energy is 1,503 J. What is ts angular speed ω in s-1? Enter an integer. b- A centrifuge starts from rest. Its angular acceleration α is constant for 20 s. Its final angular speed is ω = 160 revolutions per second. What is its angular acceleration α in units of s-2? Enter a number with one digit behind the decimal point c- A centrifuge...
2. Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0 s, it rotates 25 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 5.0 s? (d) With the angular acceleration unchanged through what additional angle will the disk turn during the next 5.0s?
2. Starting from rest, a...
1.A solid uniform sphere of mass 3.7 kg and radius 0.051 m rotates with angular velocity 7.3 rad/s about an axis through its center. Find the sphere’s rotational kinetic energy. 2.A certain pulley is a uniform disk of mass 2.7 kg and radius 0.25 m. A rope applies a constant torque to the pulley, which is free to rotate without friction, resulting in an angular acceleration of 0.12 rad/s2. The pulley starts at rest at time t = 0 s....
A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 11 rad/s; 75 radians later, its angular speed is 22 rad/s. Calculate (a) the angular acceleration (rad/s^2), (b) the time required to complete the 75 radians, (c) the time required to reach the 11 rad/s angular speed, and (d) the number of radians from rest until the time the disk reaches the 11 rad/s angular speed.
Match the units with the rotational quantity: Moment of inertia Angular acceleration Torque Rotational kinetic energy Angular Momentum a. kg·m2/s b. J c. N·m d. kg m2 e. rad s-2
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 9.00 s, it rotates 35.9 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 9.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 9.00 s?
A wheel is turning about an axis through its center with constant angular acceleration. Starting from rest, at t=0, the wheel turns through 9.00 revolutions in t= 14.0 s . At 14.0 s the kinetic energy of the wheel is 35.5 J . For an axis through its center, what is the moment of inertia of the wheel?
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 7.0 s, it has rotated 30 rad. (a) What was the angular acceleration during this time? rad/s2 (b) What was the average angular velocity? rad/s (c) What is the instantaneous angular velocity of the disk at the end of the 7.0 s? rad/s (d) Assuming that the acceleration does not change, through what additional angle will the disk turn during the next 3.0 s? rad
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 7.0 s, it has rotated 10 rad. (a) What was the angular acceleration during this time? rad/s2 (b) What was the average angular velocity? rad/s (c) What is the instantaneous angular velocity of the disk at the end of the 7.0 s? rad/s (d) Assuming that the acceleration does not change, through what additional angle will the disk turn during the next 12.0 s? rad