Estimate the ratio of angular velocities for the rotation of a diver between the full tuck position and the full layout position. (Assume that, in layout position, the diver is a thin rod of length 2.5 m and that, in full tuck position, the diver is a sphere of radius 0.50 m.)
| ωtuck |
| ωlayout |
=
Because the net external torque acting on the diver is zero, the diver's angular momentum will remain constant as she rotates from the full tuck to the full layout position.
Estimate the ratio of angular velocities for the rotation of a diver between the full tuck...
A 50 kg diver in a full layout position, with a total body radius of gyration with respect to her transverse prinicpal axis equal to 0.45 m, leaves a springboard with an angular velocity of 6 rad/s. What is the diver's angular velocity when she assumes a tuck position, reducing her radius of gyration to 0.25 m?
A diver with a mass of 62.0 kg is rotating head-over-heels in mid-air, at an angular speed of 3.00 revolutions per second, in a tucked position (that is, with arms, legs, and head pulled into a tight ball). In this position, the diver can be modeled as a solid sphere with a radius of 0.600 m, rotating about its center. Just before landing, while still in the air, the diver fully extends her arms and legs. In this position, she...
1. What is the angular momentum of a 0.240-kg ball rotating on the end of a thin string in a circle of radius 1.35 m at an angular speed of 15.0 rad/s ? 2. A diver can reduce her moment of inertia by a factor of about 4.0 when changing from the straight position to the tuck position. If she makes 2.0 rotations in 1.5 s when in the tuck position, what is her angular speed (rev/s) when in the...
A uniform thin rod of length 0.97 m and mass 2.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.29 second and rotates clockwise as viewed from above its plane of rotation. the magnitude of the rod's angular momentum about its rotation axis, is 14.95 kg m2/s. 1. choose the correct direction of the angular momentum vector for the situation described above a....
5*) Find the angular velocity of the Earth due to its daily
rotation and express it in radians per second. Then use it, and a
model of the Earth as a solid sphere of mass M=
5.97 × 1024 kg and radius R
= 6.37 × 106 m, to estimate the angular momentum of the Earth due
to its rotation around its axis. (The result should be of the order
of 1033 kg m2/s. This is called the Earth’s “intrinsic”...
A uniform thin rod of length 0.95 m and mass 1.2 kg lies in a horizontal plane and rotates in that plane about a pivot at one of its ends. The rod makes one rotation every 0.39 second and rotates clockwise as viewed from above its plane of rotation. A)Find the magnitude of the rod’s angular momentum about its rotation axis, in units of kgm^/s. b) find the rotational kinetic energy, in joules, of the rod described in part (a)....
Calculate the angular momentum for a rotating disk, sphere, and rod. (a) A uniform disk of mass 16 kg, thickness 0.5 m, and radius 0.9 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.7 s. What is the...
The figure shows a rigid structure consisting of a circular hoop of radius R and mass m1 and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of s. If R = m and m = kg, calculate the angular momentum about that axis. At the instant of the figure, a kg particle P has a position vector...
to and fixed to . A small sphere attachod to a light rigid rod rotates about an axis perpe the other end of the rod Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is negative. The sphere is a) rotating clockwise and speeding up b) rotating elockwise and slowing down c) rotating d) rotating counterclockwise and slowing down e) first rotating...
10*) The Sun has approximate radius 7×108 m, and rotates around
its axis once every 27 days. a) Find its angular velocity in rad/s,
and (assuming it is a uniform sphere) write a formula for its
angular momentum expressing it in terms of its mass M (you do not
need to substitute a value for M). b) Suppose the Sun were to
collapse to a neutron star, which is a much denser state, without
losing any mass and without being...