A tennis ball is tied to a 4.0 m rope rotates a total of 5 revs...
A tennis ball is tied to a 4.0 m rope rotates a total of 5 revs starting at rest with a constant angular acceleration of 30 rad/s^2.
a) How long does it take for the tennis ball to complete this trip?
b) What is the final angular velocity of the ball at the end of its trip?
c) What centripetal acceleration is it experiencing?
Homework Answers
6. A ball is tied to the end of a cable of negligible mass. The ball...
6. A ball is tied to the end of a cable of negligible mass. The ball is spun in a circle with a radius 2.00 m making 7.00 revolutions every 10.0 seconds. What are the (a) magnitude of the angular velocity in rad/s, (b) linear velocity in m/s, and (c) centripetal acceleration of the ball (in m/s')? Hint: 7 revolution divided by 10 seconds gives 0.7 rev/s, convert to rad/s
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 7.0...
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
2. Starting from rest, a disk rotates about its central axis with constant angular acceleration. ...
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 Ferris wheel rotates at an angular velocity of 0.26 rad/s. Starting from rest, it reaches...
A Ferris wheel rotates at an angular velocity of 0.26 rad/s. Starting from rest, it reaches its operating speed with an average angular acceleration of 0.034 rad/s2. How long does it take the wheel to come up to operating speed?
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 7.0...
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
Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 9.00...
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 ball of mass 1.25 kg is attached by a 1.4 meter long massless rope to...
A ball of mass 1.25 kg is attached by a 1.4 meter long massless
rope to the top of a vertical pole. The ball swings in a horizontal
circle at a constant rate of ? rad/s with the rope making
an angle of 29
A ball of mass 1.25 kg is attached by a 1.4 meter long massless rope to the top of a vertical pole. The ball swings in a horizontal circle at a constant rate of ? rad/s...
A wheel, starting from rest, rotates with a constant angular acceleration of 4.50 rad/s2. During a...
A wheel, starting from rest, rotates with a constant angular acceleration of 4.50 rad/s2. During a certain 5.00 s interval, it turns through 85.0 rad. (a) What is the angular velocity of the wheel at the start of the 5.00 s interval? rad/s (b) How long has the wheel been turning before the start of the 5.00 s interval? s
A wheel, starting from rest, rotates with a constant angular acceleration of 1.70 rad/s2. During a...
A wheel, starting from rest, rotates with a constant angular acceleration of 1.70 rad/s2. During a certain 3.00 s interval, it turns through 16.1 rad. (a) How long had the wheel been turning before the start of the 3.00 s interval? (b) What was the angular velocity of the wheel at the start of the 3.00 s interval?
A golf ball (50 g) hit by a club is accelerated from rest to 50 m/s...
A golf ball (50 g) hit by a club is accelerated from rest to 50 m/s in 2.50 ms. What are the magnitudes of the impulse delivered to the ball and the average force acting on the ball? Impulse = Average Force = A disk of radius 10.0 cm spins about an axis through its center at a constant 5.0 rad/s. What is the linear velocity, centripetal and tangential accelerations of a point on its rim? linear velocity = centripetal...
6. A ball is tied to the end of a cable of negligible mass. The ball is spun in a circle with a radius 2.00 m making 7.00 revolutions every 10.0 seconds. What are the (a) magnitude of the angular velocity in rad/s, (b) linear velocity in m/s, and (c) centripetal acceleration of the ball (in m/s')? Hint: 7 revolution divided by 10 seconds gives 0.7 rev/s, convert to rad/s
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 ball of mass 1.25 kg is attached by a 1.4 meter long massless
rope to the top of a vertical pole. The ball swings in a horizontal
circle at a constant rate of ? rad/s with the rope making
an angle of 29
A ball of mass 1.25 kg is attached by a 1.4 meter long massless rope to the top of a vertical pole. The ball swings in a horizontal circle at a constant rate of ? rad/s...
A golf ball (50 g) hit by a club is accelerated from rest to 50 m/s in 2.50 ms. What are the magnitudes of the impulse delivered to the ball and the average force acting on the ball? Impulse = Average Force = A disk of radius 10.0 cm spins about an axis through its center at a constant 5.0 rad/s. What is the linear velocity, centripetal and tangential accelerations of a point on its rim? linear velocity = centripetal...
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