1) A solid sphere of radius = 10 cm and mass = 2 kg is going down an inclined plane of height = 5 m. The angle of the inclined plane = 35 degrees. a) What is the final Total kinetic energy of the sphere? 98J b) Calculate the final Vcm and angular of the sphere and the Total velocity at the top point. Vcm=8.37m/s w=83.67 rads/s Vt=16.73m/s c) What are the final Linear (translational) and Rotational kinetic energies of...
A 1.3-kg 16-cm-diameter solid sphere is rotating about its diameter at 66 rev/min. (a) What is its kinetic energy? =J (b) If an additional 5.0 mJ of energy are supplied to the rotational energy, what is the new angular speed of the ball? =rev/min
A 1.6-kg 18-cm-diameter solid sphere is rotating about its diameter at 77 rev/min. (a) What is its kinetic energy? 218.4 Incorrect: Your answer is incorrect. J (b) If an additional 5.0 mJ of energy are supplied to the rotational energy, what is the new angular speed of the ball? rev/min
5) A motor is attached to a solid sphere of aluminum 25.0 cm in diameter. The motor is used to accelerate the sphere from rest to a rotational rate of 1345 rpm in 12.4 seconds. a) How many complete revolutions does the sphere make as it is sped up to its final rotational rate? b) What torque does the motor need to supply in order to accomplish this? c) How much energy was used to make the sphere turn in...
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 grinding wheel is in the form of uniform solid disk of radius 7.00 cm and mass 2.00 kg (I=1/2(mr^2)). It starts from rest and rotates with constant angular acceleration of 12.0 rad/sec^2. A) How long does the wheel take to reach its final operating speed of 1200 rev/min? B) Through how many revolutions does it turn while accelerating? C) calculate the rotational kinetic energy of the wheel at its operating speed.
A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.9 m long. Assume it started from rest. The moment of inertia of a sphere is given by I = 2/5MR2. (a) Calculate the linear speed of the sphere when it reaches the bottom of the incline. (b) Determine the angular speed of the sphere at the bottom of the incline.
An 8.80-cm-diameter, 380 g solid sphere is released from rest at the top of a 2.00-m-long, 16.0 ∘ incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline? What fraction of its kinetic energy is rotational?
An 7.90-cm-diameter, 330 g solid sphere is released from rest at the top of a 1.60-m-long, 16.0 ∘ incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline? What fraction of its kinetic energy is rotational?
An 8.10-cm-diameter, 300 g solid sphere is released from rest at the top of a 1.60-m-long, 16.0 ? incline. It rolls, without slipping, to the bottom. a)What is the sphere's angular velocity at the bottom of the incline? b)What fraction of its kinetic energy is rotational?