1. If the ball starts at rest in Item Number 9 and moved 1 revolution around the path in 10 seconds, compute the angular acceleration of the body.
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Q: A wheel, starting from rest, has a constant angular acceleration of 0.3 rad/s2. In a 0.6-s interval,…
A: Given : Angular acceleration→α=0.3 rad/s2 Turn angle →θ=113 rad Turning time →t=0.6 s
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Q: A wheel with a 15 cm radius rotating at 3 rad/s begins to speed up. After 5 seconds have passed, the…
A: In this problem the angular acceleration of the object is uniform so we can use equation of motion.
Q: A wheel has a constant angular acceleration of 1.6 rad/s2. During a certain 9.0 s interval, it turns…
A: angular accelerationα=1.6 rad/s2time interval t=9 secangular displacementθ=94 rad
Q: A hollow spherical shell (Ishell = 2/3 M R2) has a mass of 4.64 kg and radius 0.220 m. It is…
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Q: A person is riding a bicycle, and its wheels have an angular velocity of 17.06 rad/s. Then, the…
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Q: he wheel rotate during this time interval?
A: Initial angular velocity wi = 0 Final angular velocity wf = 18 rad/sec time t = 4.9 sec
Q: A dentist's drill starts from rest. After 4.00 s of constant angular acceleration it turns at a rate…
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Q: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…
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A: Given: I1 = 2.0 kg.m2ω1 = +5.0 rad/s(clockwise)I2 = 1.0 kg.m2ω2 =- 8.0 rad/s(counterclockwise)
Q: A dentist’s drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a…
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Q: A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius…
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A: Given that, Initial angular velocity (wi)= 1.60 rev/s Or (wi)= 1.60×2π rad/s = 10.06 rad/s Similarly…
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A: We have to use kinetic relations for angular motions Angular acceleration α =ωt and linear velocity…
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A: The radius is 20cm Applied force is 1.5N Rotational inertia 0.05 kgm2
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- A circular disk has a rotational inertia of 1.4 kg.m? and a constant angular acceleration of 4.4 rad/s2. If it starts from rest the work done during the first 8.1 s by the net torque acting on it is:The figure gives angular speed versus time for a thin rod that rotates around one end. (a) What is the magnitude of the rod's angular acceleration? (b) At t = 4.0 s, the rod has a rotational kinetic energy of 8.35 J. What is its kinetic energy at t = 0?A dentist causes the bit of a high speed drill to accelerate from an angular speed of 1.76e4 rad/s to an angular speed of 3.71e4 rad/s. In the process, the bit turns through 1.62e4 rad.Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 8.42e4 rad/s starting from rest.
- 7. A bicyclist starting at rest produces a constant angular acceleration of 1.70 rad/s2 for wheels that are 34.0 cm in radius. (a) What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.) (b) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 11.2 m/s? (c) How many radians have the wheels turned through in that time? (d) How far (in m) has the bicycle traveled?A turn table starts from rest and reaches 11 rad/s of angular velocity in 9.0 s. Find the total angle it turned during the time in rad. Hint: use rotational kinematics formula. Assume initial angle and initial angular velocity as zero. Your Answer:A dentist's drill starts from rest. After 3.40 s of constant angular acceleration it turns at a rate of 2.30 x 10 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. rad
- A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius of 0.4 m. Both the ball and the pulley are initially at rest. The rotational inertia of the pulley is 0.5mr2 and the ball is released from rest. Calculate the ball's velocity after it falls a distance of 2 meters.A dentist's drill starts from rest. After 3.50 s of constant angular acceleration it turns at a rate of 2.30 x 104 rev/min. (a) Find the drill's angular acceleration. rad/s2 (b) Determine the angle (in radians) through which the drill rotates during this period. radWhich of the following statements are true? Select all correct. Question 9 options: The angular velocity omega has units of rad/s Rotational kinetic energy has different units than translational kinetic energy. Moment of Inertia has units of kg m2 If the center of mass of an object does not move, its kinetic energy must be zero. Kinetic energy of rotation depends on the direction of rotation. If they have the same mass and radius, a ring would have a larger moment of inertia about its center than a disc.
- A skater spins about a fixed point on the ice. She begins with her arms extended and an initial angular velocity wo. She then pulls her arms in to her body. After her arms are pulled to her body, she spins with an angular velocity final ,wf . Throughout the time she is spinning, no external forces are acting in the horizontal plane. How do the magnitudes of the initial and final angular velocities compare? OA. Wo > Wf OB. WO = wf w0 < wf OE. ооо ооA hollow spherical shell (Ishell = 2/3 M R2) has a mass of 6.51 kg and radius 0.220 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant angular acceleration of 1.9 rad/s2. What is the rotational kinetic energy of the shell after it has turned through 6.00 revolutions? (Give your answer in J.)