A pulsar is a rapidly rotating neutron star that continuously emits a beam of radio waves in a searchlight manner. Each time the pulsar makes one revolution, the rotating beam sweeps across the earth, and the earth receives a pulse of radio waves. For one particular pulsar, the time between two successive pulses is 0.0312 s. Determine the average angular speed (in rad/s) of this pulsar.

Your answer is partially correct. Review Conceptual Example 2 before attempting this problem. The moon has a diameter of 3.48 x 106 m and is a distance of 3.85 x 108 m from the earth. The sun has a diameter of 1.39 x 10⁹ m and is 1.50 x 10¹1 m from the earth. Determine (in radians) the angles subtended by (a) the moon and (b) the sun, as measured by a person standing on the earth. (c) Determine the ratio of the apparent circular area of the moon to the apparent circular area of the sun. These calculations determine whether a total eclipse of the sun is really "total." (a) Number 0.00904 (b) Number i 0.0093 (c) Number i 0.945 Units rad Units Units rad No units

Merry-go-rounds are a common ride in park playgrounds. The ride is a horizontal disk that rotates about a vertical axis at their center. A rider sits at the outer edge of the disk and holds onto a metal bar while someone pushes on the ride to make it rotate. Suppose that a typical time for one rotation is 6.0 ss and the diameter of the ride is 16 ftft . 1. For this typical time, what is the speed of the rider, in m/sm/s? Express your answer in meters per second. 2. What is the rider’s radial acceleration, in m/s2m/s2? Express your answer in meters per second squared. 3.  What is the rider’s radial acceleration if the time for one rotation is halved? Express your answer in meters per second squared.

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Now we have a rod-shaped space station of length 1402 m and mass 8.50 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 1.51 rpm. If the length of the rod is reduced to 1.51 m, what will be the new rotation rate of the space station? 5.08 rpm 2.54 rpm 3 8.13 rpm 4 1.52 rpm

A pulsar is a rapidly rotating neutron star. The Crab nebula pulsar in the constellation Taurus has a period of 33.5×10−333.5×10^-3  s, radius 10 km. And suppose its mass is 2.1×10302.1×10^30  kg. The pulsar's rotational period will increase over time due to the release of electromagnetic radiation, which doesn't change its radius but reduces its rotational energy. A. What is the angular momentum of the pulsar? Give your answer in the scientific notation, in the normalized form. L =             x 10          js B. Suppose the angular velocity decreases at a rate of 4.7×10−144.7×10-14  rad/s2. What is the magnitude of the torque on the pulsar? Give your answer in the scientific notation, in the normalized form. Tnet =       x  10        N m

There is a rod-shaped space station of length 687 m and mass 5.35 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 2.26 rpm. If the length of the rod is reduced to 2.26 m, what will be the new rotation rate of the space station?      4.38 rpm     7.50 rpm     3.50 rpm     6.25 rpm

A compact disc is rotating on a CD player turntable at a frequency 3.98 revolutions per second. The outer radius of the compact disc is r = 6.0 centimeters (0.060 m). What is the speed of a point on the outer edge of the compact disc?

A disk with a radius of 4.01 meters is rotating with an angular speed of 8.01 rad/s. The angular speed increases to 12.01 rad/s over the next 4.01 seconds. Determine how many revolutions the disk rotates through in 4.01 seconds?

A 45.0-cm diameter disk rotates with a constant angular acceleration of 2.50 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. At t = 30 s, find d. the position of P (in degrees, with respect to the positive x-axis).