A bowling ball has a mass of 4 kg, a moment of inertia of 0.23104 kg m^2, and a radius of 0.38m. It rolls along the lane without slipping at a linear speed of 4.4 m/s. What is the total kinetic energy of the rolling ball?
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- A typical helicopter with four blades rotates at 240 rpm and has a kinetic energy of 3.45 105 J. What is the total moment of inertia of the blades? (Answer in kg•m^2)A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 4.62 m and a rotational inertia of 101 kg-m2 about the axis of rotation. A 66.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.10 rad/s when the student starts at the rim, what is the angular speed when she is 0.592 m from the center? Number i UnitsA thin rod has a length of 0.792 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.939 rad/s and a moment of inertia of 1.41 x 103 kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-³ kg) gets where it's going, what is the change in the angular velocity of the rod?
- In the figure, a wheel of radius 0.234 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.586 kg-m2. A massless cord wrapped around the wheel's circumference is attached to a 4.00 kg box. The system is released from rest.When the box has a kinetic energy of 4.00 J, what are (a) the wheel's rotational kinetic energy and (b) the distance the box has fallen? Assume free-fall acceleration to be equal to 9.81 m/s2. M (a) Number Units (b) Number UnitsA horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 2.58 m and a rotational inertia of 255 kg·m2 about the axis of rotation. A 53.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.18 rad/s when the student starts at the rim, what is the angular speed when she is 1.79 m from the center?A top has a moment of inertia of 10.7 kg-m2. The top is spinning at 41 rpm. How much rotational kinetic energy (in joules) does the top have?
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