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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
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Chapter 10 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
- Please helparrow_forwardThe Bunchberry flower has the fastest moving parts ever observed in a plant. Initially, the stamens are held by the petals in a bent position, storing elastic energy like a coiled spring. When the petals release, the tips of the stamen act like medieval catapults, flipping through a 60° angle in just 0.30 ms.to launch pollen from anther sacs at their ends. The human eye just sees a burst of pollen; only high speed photography reveals the details. We can model the stamen tip as a 1.0 mm long, 10µg rigid rod with a 10µg anther sac at the end. Although oversimplifying, we'll assume a Pollen Pollen Anther sac constant angular acceleration. A. How large is the "straightening torque"? (you may assume the torques created by the gravity 1.0 mm Stamen force are minimal compared to the straightening torque, and can be ignored. B. What is the speed of the anther sac as it releases its pollen? Initial configuration Final configurationarrow_forwardThe Toronto Indy is in town and, as part of a design course, students are asked to measure the velocity of a car using a camera. A car at A has a speed vA 155 km and accelerates at hr a constant rate so that at C it has a speed vc = 323 Km . The distance L = 15m, What is hr km 1. the car's acceleration () in x – y coordinates? hr2 2. the camera's angular velocity (ad) when the car is at A S 3. the camera's angular velocity (- rad when the car is at B. S 4. What is 0A and OB with respect to the camera? km 5. What is iA ÏB with respect to the camera? [ s2 y d 1km 2 d 1km ! A C Car ||L = 15m %3D Barrow_forward
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- The rod O A rotates clockwise with a constant angular velocity of 6 rad/s. Two pin- connected slider blocks, located at B, move freely on OA and the curved rod whose shape is a limacon described by the equation r = 200(2 - cos ) mm. (Figure 1) Figure B 600 mm 6 rad/s 400 mm 200 mm 1 of 1 Part A Determine the speed of the slider blocks at the instant 0 = 145°. Express your answer to three significant figures and include the appropriate units. V = Value Submit μA Provide Feedback Request Answer Units ? Next >arrow_forwardA yatch releases its anchor 4 miles from the road for it to stop moving temporarily. The yatch has a radar transmitter that is rotating at 64π rad/min. How fast does the radar beam move along the road when the beam makes an angle of π/3 with the road?arrow_forwardCan you find the mass moment of inertia of the point where the two thin rods meet in the image attached?arrow_forward
- Problem 24: An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 1.1 rad, b = 0.35 rad/s2 and c = 0.025 rad/s3. Randomized Variablesa = 1.1 radb = 0.35 rad/s2c = 0.025 rad/s3 Part (a) Determine an equation for the angular speed of the ride as a function of time, ω(t). Write your answer using the symbols a, b, and c, instead of their numerical values. Part (d) Determine an equation for the angular acceleration of the ride as a function of time, α(t). Write your answer using the symbols a, b, and c, instead of their numerical values.arrow_forwardProblem 24: An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 1.1 rad, b = 0.55 rad/s2 and c = 0.025 rad/s3. Randomized Variablesa = 1.1 radb = 0.55 rad/s2c = 0.025 rad/s3 Part (a) Determine an equation for the angular speed of the ride as a function of time, ω(t). Write your answer using the symbols a, b, and c, instead of their numerical values. Part (b) Besides at t = 0, at what time t1 is the ride stopped? Give your answer in seconds. Part (c) What is the magnitude of the angular displacement of the ride in radians between times t = 0 and t = t1? Part (d) Determine an equation for the angular acceleration of the ride as a function of time, α(t). Write your answer using the symbols a, b, and c, instead of their numerical values. Part (e) What is the angular acceleration in rad/s2 when the ride is at rest at t = t1?arrow_forwardOn a 12.0-cm-diameter audio compact disc (CD), digitalbits of information are encoded sequentially along anoutward spiraling path. The spiral starts at radius R1=2.5cmand winds its way out to radius R2=5.8cmTo read the digital information, a CD player rotates theCD so that the player’s readout laser scans along thespiral’s sequence of bits at a constant linear speed of 1.25 m/sThus the player must accurately adjust the rotational frequency f of the CD as the laser moves outward.Determine the values for f (in units of rpm) when thelaser is located at R1 and when it is at R2arrow_forward
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