Starting from rest, a 12-cm-diameter compact disk takes 2.9s to reach its operating angular velocity of 2500rpm . Assume that the angular acceleration is constant. The disk's moment of inertia is 2.5
w0=0:
r=0.06 m;t=2.9 sec;w=2500 =2500*6.28/3600=4.36 rad./s
I=2.5*10^5 kg*m^2
first we hsould have to calculate angular acceleration (alpha)?
w=w0+alpha*t
alpha=w/t=4.36/2.9=1.5038 rad/s^2
A)torque=I*alpha=2.5*10^5*1.5038=3.759*10^5 N.m
B)w^2-wo^2=2*alpha*theta
4.36^2=2*1.5038*theta
theta =6.320 rad
Starting from rest, a 12-cm-diameter compact disk takes 2.9s to reach its operating angular velocity of...
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...
A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 12 rev/s; 70 revolutions later, its angular speed is 19 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 70 revolutions, (c) the time required to reach the 12 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 12 rev/s angular speed.
3. A disk 6.0cm in diameter and moment of inertia of 0.015kg-m’ initially at rest at t = 0, is spun up to 720-rpm over 6.0s about an axis through its center of mass. Assume the angular acceleration is constant. a) Find the angular velocity (rad/s) at 6.0s b) Find the angular acceleration (rad/s) c) Find the number of revolutions the disk spins through during that interval. d) What is the mass of the disk? e) What is the change...
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 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.
A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 12.0 rev/s; 40.0 revolutions later, its angular speed is 18.0 rev/s. Calculate (a) the angular acceleration (rev/s2), (b) the time required to complete the 40.0 revolutions, (c) the time required to reach the 12.0 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 12.0 rev/s angular speed.
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
A compact disk, which has a diameter of 12.0 cm, speeds up uniformly from zero to 4.40 rev/s in 3.20 s What is the tangential acceleration of a point on the outer rim of the disk at the moment when its angular speed is 3.00 {rev/s}?
A thin disk begins to rotate from rest with a constant angular acceleration. The disk takes 1.2 seconds to make its second complete revolution. Find: 1) the time (in sec) it took the disk to make its first revolution; 2) the angular acceleration (in rad/sec2) of the disk.