Concept explainers
A digital audio compact disc carries data, each bit of which occupies 0.6 μm along a continuous spiral track from the inner circumference of the disc to the outside edge. A CD player turns the disc to carry the track counterclockwise above a lens at a constant speed of 1.30 m/s. Find the required angular speed (a) at the beginning of the recording, where the spiral has a radius of 2.30 cm, and (b) at the end of the recording, where the spiral has a radius of 5.80 cm. (c) A full-length recording lasts for 74 min 33 s. Find the average
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Principles of Physics: A Calculus-Based Text
- A disk 7.90 cm in radius rotates at a constant rate of 1 150 rev/min about its central axis. (d) Determine the total distance a point on the rim moves in 1.90 s. marrow_forwardAn early method of measuring the speed of light makes use of a rotating slotted wheel. A beam of light passes through a slot at the outside edge of the wheel, as in the figure, travels to a distant mirror, and returns to the wheel just in time to pass through the next slot in the wheel. One such slotted wheel has a radius of 7.3 cm and 190 slots at its edge. Measurements taken when the mirror is L = 1100 m from the wheel indicate a speed of light of 3.0 x 105 km/s. (a) What is the (constant) angular speed of the wheel? (b) What is the linear speed of a point on the edge of the wheel? (a) Number (b) Number Mi Light Source Units Units Light beam Rotating slotted wheel Mirror perpendicular to light beamarrow_forwardDetermine the coordinate of a 3D point P(100.0, -60.0, 80.0) after rotating 60 degree across Y-axis/X-axis/Z-axis, given that the center of rotation is (0.0, 0.0, 0.0).arrow_forward
- A laser beam is directed at the Moon, 380,000 kmkm from Earth. The beam diverges at an angle θ of 5.3×10−5 radrad . What diameter spot will it make on the Moon?arrow_forwardA lighthouse sits 1 km off the shore and its light completes 3 revolutions per minute. How fast is the light moving along the shore when the angle between the light and shore is π/6?arrow_forwardA ship with a radar transmitter rotating at 70π radians per minute releases its anchor from 5 miles away the shore. If the radar beam and the shore creates a π/2 angle, determine the speed at which the beam moves along the shoreline.arrow_forward
- Among other things, the angular speed of a rotating vortex (such as in a tornado) may be determined by the use of Doppler weather radar. A Doppler weather radar station is broadcasting pulses of radio waves at a frequency of 2.85 GHz, and it is raining northeast of the station. The station receives a pulse reflected off raindrops, with the following properties: the return pulse comes at a bearing of 51.4° north of east; it returns 180 µs after it is emitted; and its frequency is shifted upward by 214 Hz. The station also receives a pulse reflected off raindrops at a bearing of 52.3° north of east, after the same time delay, and with a frequency shifted downward by 214 Hz. These reflected pulses have the highest and lowest frequencies the station receives. (a) Determine the radial-velocity component of the raindrops (in m/s) for each bearing (take the outward direction to be positive). 51.4° north of east m/s 52.3° north of east m/s (b) Assuming the raindrops are swirling in a uniformly…arrow_forwardA person rides on a Ferris wheel that rotates with constant angularspeed. If the Sun is directly overhead, does the person’s shadowon the ground undergo periodic motion? Does it undergo simpleharmonic motion? Explain.arrow_forwardHi! I'm struggling with this question on my trigonometry homework about linear velocity. Here is the situation, and I need to find the lineary velocity (v) using the equation V=r times theta, divided by time. "the tip of an airplane propeller 3 m long, rotating 500 times per minute. Hint: r= 1.5m" Thanks so much for your help. I appreciate it.arrow_forward
- How about this: SO(2) can be extended for 3D rotation through the x-axis by an angle α.arrow_forwardSomeone is out dancing on a revolving dance floor. The floor completes 3 revolutions every 5 seconds and the person is 3.75 m form the center of the floor. What is the persons speed?arrow_forwardAn internal mechanism is used to maintain a constant angular rate of 0.05 rad/s about the z-axis of the spacecraft as the telecospic booms are extended at a constant rate. The length I is varied from essentially zero to 3m. The maximum acceleration to which the sensitive experiment modules P may be subjected is 0.011 m/s. Determine the the maximum allowable boom extension rate in mm/s. Round your answer to 3 decimal places. 1.2 m 1.2 marrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON