10-46c At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. (a) What is the tangential velocity? (b) What is the angular velocity?   (c) What is its angular frequency in 1/s?

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A diver performs a flip in the air. The radius of gyration is 0.43 when the diver initially leave the board and the diver is rotating at an angular velocity of 6.3 rad/sec. What is the linear velocity of the head when they decrease their radius of gyration to 0.24. The distance from the head to the center of gravity of the individual is 0.3 meters?

What is the tangential, centripetal, and angular accelerations of a bug on the rim of a disk with a diameter of 0.28 m if the disk accelerates uniformly from rest to an angular velocity of 71.6 rpm in 3.5 s? Tangential Acceleration: Units: Centripetal Acceleration: Units: Angular Acceleration: Units: Submit Question

16-146. A ride in an amusement park consists of a rotating arm AB that has an angular acceleration of aдB = 1 rad/s² QAB when @AB = 2 rad/s at the instant shown. Also at this instant the car mounted at the end of the arm has an angular acceleration of a = {-0.6k) rad/s² and angular velocity of w' (-0.5k) rad/s, measured relative to the arm. Determine the velocity and acceleration of the passenger C at this instant. = w' = 0.5 rad/s 10 ft 60° y WAB = 2 rad/s 30° x Probs. 16-145/146 B 2 ft

When the Sun runs out of nuclear fuel it will collapse into a white dwarf. The present radius of the Sun is R, and the mass is M,. The angular velocity of the Sun is wo. After the Sun collapses into a white dwarf, the radius is R/108. What is the rotational energy of the Sun after it collapses? Assume the Sun loses no mass. - MRw? 5(108“) MRw? 5(108) - MRw? 5(1082) O 1084 - MRw? 108 108° - M Rw? 5

A cyclist is traveling at 32 km h-1. Calculate the angular velocity in RPM of the front wheel of the bicycle given that the diameter of the wheel is 700mm.

17-106. The truck carries the spool which has a weight of 500 Ib and a radius of gyration of kg = 2 ft. Determine the angular acceleration of the spool if it is not tied down on the truck and the truck begins to accelerate at 3 ft/s². Assume the spool does not slip on the bed of the truck.

Problem A) At a circus you see a man spinning plates with radii of 75 cm on top of long poles. The plates have a constant angular acceleration of 0.6 rad/s?. Assuming the plates start from rest, after a time of 8 seconds calculate a) how many revolutions they have made, b) their angular velocity, c) their tangential acceleration, d) their radial acceleration, and e) their overall acceleration, magnitude and direction with respect to the edge of the disk.

NASA physicians need to know whether the contents of astronauts' skulls (brain, eyes, eardrums, etc.) move so much during rotational maneuvers that injury might be caused. If you are an astronaut in a spinning spacecraft and have an initial angular displacement of 3.14 radians, an initial angular velocity of 3.683 radians per second, and an angular acceleration of 0.02 radians per second squared, what distance will your eyes have traveled around the center of your skull after 26.83 seconds?